REFERENCES
A. V. Luikov, Theory of Heat Conduction [in Russian], Moscow (1967).
A. V. Luikov and Yu. A. Mikhailov, Theory of Heat and Mass Transfer [in Russian], Moscow (1963).
A. V. Luikov, Heat and Mass Transfer: Handbook [in Russian], Moscow (1978).
A. V. Luikov, Izv. Akad. Nauk SSSR, Énergetika Transport, No. 2, 3-28 (1969).
H. S. Carslaw and J. Jaeger, Conduction of Heat in Solids, Oxford Univ. Press (1959).
P. V. Tsoi, Methods of Calculation of Problems of Heat and Mass Transfer [in Russian], Moscow (1984).
N. M. Belyaev and A. L. Ryadno, Methods of the Theory of Heat Conduction [in Russian], Pts. 1 and 2, Moscow (1982).
V. S. Zarubin, Engineering Methods of Solution of Problems of Heat Conduction [in Russian], Moscow (1983).
V. P. Kozlov, Two-Dimensional Axisymmetric Nonstationary Problems of Heat Conduction [in Russian], Minsk (1986).
G. A. Grinberg, Selected Issues of the Mathematical Theory of Electric and Magnetic Phenomena [in Russian], Moscow?Leningrad (1948).
G. F. Muchnik and I. B. Rubashov, Methods of the Theory of Heat Exchange [in Russian], Moscow (1970).
A. I. Pekhovich and V. M. Zhidkikh, Calculations of the Thermal Regime of Solids [in Russian ], Leningrad (1976).
A. A. Aleksashenko, Yu. A. Koshmarov, and I. S. Molchadskii, Heat and Mass Transfer in a Fire [in Russian], Moscow (1982).
A. D. Polyanin, A. V. Vyaz'min, A. I. Zhurov, and D. A. Kazenin, Handbook of Exact Solutions of Heat-and Mass-Transfer Equations [in Russian], Moscow (1998).
V. F. Zaitsev and A. D. Polyanin, Handbook of Partial Differential Equations. Exact Solutions [in Russian], Moscow (1996).
É. M. Kartashov, Analytical Methods in the Theory of Heat Conduction of Solids [in Russian], Moscow (1985).
É. M. Kartashov, Izv. Akad. Nauk SSSR, Énergetika Transport, No. 5, 125-149 (1986).
É. M. Kartashov, Izv. Akad. Nauk SSSR, Énergetika Transport, No. 6, 116-129 (1986).
V. A. Ditkin and A. P. Prudnikov, Handbook of Operational Calculus [in Russian], Moscow (1965).
É. M. Kartashov, Izv. Akad. Nauk SSSR, Énergetika No. 2, 99-127 (1993).
É. M. Kartashov, Izv. Akad. Nauk SSSR, Énergetika No. 3, 106-125 (1993).
V. A. Il'in, Mat. Sbornik, 45(87), No. 2, 195-232 (1958).
R. S. Peckover, Res. Notes Math., 78, 248-262 (1983).
B. D. Turland, Res. Notes Math., 78, 293-305 (1983).
B. S. Petukhov and L. G. Genin, Heat Exchange in Nuclear Power Plants [in Russian], Moscow (1974).
B. T. Erokhin, Theoretical Principles of Design of Solid-Propellant Rocket Engines [in Russian], Moscow (1974).
V. V. Pukhnachev, in: Tr. Sem. S. L. Soboleva (Novosibirsk), No. 2, 69-82 (1976).
S. S. Domalevskii, in: Equations with Discontinuous Coefficients and Their Applications [in Russian], Alma-Ata (1986), pp. 18-24.
K. S. Iskakova, in: Equations with Discontinuous Coefficients and Their Applications [in Russian], Alma-Ata (1986), pp. 34-43.
N. N. Rykalin, Calculations of Thermal Processes in Welding [in Russian], Moscow (1951).
A. S. Zingerman, Izv. Vyssh. Uchebn. Zaved., Élektromekhanika, No. 5, 87-98 (1960).
K. K. Namitokov, Electroerosion Phenomena [in Russian], Moscow (1978).
T. A. Andreeva, L. M. Berezovskaya, and S. G. Boguslavskaya, in: Nonlinear Boundary-Value Problems of Mathematical Physics [in Russian], Kiev (1992), pp. 4-7.
Yu. A. Mitropol'skii, A. A. Berezovskii, and T. A. Plotnitskii, Ukr. Mat. Zh., 44, No. 1, 67-75 (1992).
V. V. Appolonov, É. M. Kartashov, and V. A. Shmakov, Dynamic Effects in Solids in the Interaction with Intense Heat Fluxes, Preprint Nos. 110 and 111, Institute of General Physics, Academy of Sciences of the USSR [in Russian], Moscow (1990).
M. S. Bakharev, L. I. Mirkin, S. A. Shesterikov, and M. A. Yumasheva, Structure and Strength of Materials under Laser Actions [in Russian], Moscow (1988).
O. A. Volkovitskii, Yu. S. Sedunov, and L. P. Semenov, Propagation of Intense Laser Radiation in Clouds [in Russian], Leningrad (1982).
K. M. Dyumaev, A. A. Manenkov, A. P. Maslyukov, et al., Tr. Inst. Obshch. Fiz. Akad. Nauk Ross. Fed., 33, 3-144 (1991).
B. Ya. Lyubov and É. N. Sobol', Fiz. Khim. Obrab. Mater., No. 1, 12-26 (1979).
V. I. Mazhukin and A. A. Samokhin, in: Mathematical Modeling. Nonlinear Differential Equations of Mathematical Physics [in Russian], Moscow (1987), pp. 191-244.
N. N. Rykalin, A. A. Uglov, and I. V. Zuev, Laser and Electron-Beam Treatment of Materials [in Russian], Moscow (1985).
É. N. Sobol', A. L. Glytenko, and B. Ya. Lyubov, Inzh.-Fiz. Zh., 58, No. 3, 357-374 (1990).
É. N. Sobol' and A. A. Uglov, Fiz. Khim. Obrab. Mater., No. 2, 3-17 (1983).
É. M. Kartashov, Inzh.-Fiz. Zh., 52, No. 3, 495-505 (1987).
L. A. Goryainov, Tr. Mosk. Inst. Inzh. Zhel. Transp., No. 398, 105-114 (1972).
I. I. Danilyuk, Usp. Mat. Nauk, 40, Issue 5, 133-185 (1983).
I. I. Danilyuk, Dokl. Akad. Nauk. Ukr. SSR Ser. A, No. 3, 9-14 (1983).
V. N. Gusakov, I. I. Danilyuk, and A. A. Kostikov, Mat. Fiz. Nelin. Mekh. (Kiev), No. 11, 40-43 (1989).
N. S. Ivanov and P. M. Filippov, Heat Conduction of Solids and Disperse Media in Phase Transformations [in Russian], Irkutsk (1988).
A. M. Meirmanov, Stefan Problem [in Russian], Novosibirsk (1986).
V. G. Melamed, Heat and Mass Exchange in Rocks in Phase Transitions [in Russian], Moscow (1980).
Yu. A. Mitropol'skii and A. A. Berezovskii, Mat. Fiz. Nelin. Mekh. (Kiev), No. 7, 50-60 (1987).
R. Yu. Nabokov, Vestn. Mosk. Gos. Univ., Ser. 1, No. 2, 59-61 (1990).
N. V. Pavlyukevich, G. E. Gorelik, V. V. Levdanskii, V. G. Leitsina, and G. I. Rudin, Physical Kinetics and Transfer Processes in Phase Transformations [in Russian], Minsk (1960).
L. I. Rubinshtein, Stefan Problem [in Russian], Riga (1967).
B. Ya. Lyubov, Kinetic Theory of Phase Transformations [in Russian], Moscow (1969).
N. N. Verigin, Din. Zhidk. Svobodn. Granits. (Kiev), No. 46, 23-32 (1980).
G. I. Beregova and V. M. Kirilich, Ukr. Mat. Zh., 49, No. 12, 1684-1689 (1997).
E. V. Radkevich and A. S. Melikov, Boundary-Value Problems with a Free Boundary [in Russian], Tashkent (1988).
I. Athanasopoulos, L. A. Cafarelli, and S. Salsa, Commun. Pure Appl. Math., 51, No. 1, 77-112 (1998).
S. N. Kruzhkov, Dokl. Akad. Nauk SSSR, 178, No. 5, 1036-1038 (1968).
S. I. Anisimov, Ya. A. Imas, G. S. Romanov, and Yu. V. Khodyko, Action of High-Power Radiation on Metals [in Russian], Moscow (1990).
N. V. Pavlyukevich, G. E. Gorelik, V. G. Leitsina, and G. I. Rudin, Physical and Transfer Processes in Phase Transitions, Begell House Inc., New York (1995).
L. L. Vasil'ev and S. L. Vaaz, Freezing and Heating of the Ground Using Cooling Devices [in Russian], Minsk (1986).
R. B. Gunter, Res. Notes Math., 78, 7-78 (1986).
Sh. I. Plyat, Calculations of the Temperature Fields of Concrete Hydraulic Works [in Russian], Moscow (1974).
P. P. Zolotarev and A. A. Roshal', Inzh.-Fiz. Zh., 24, No. 5, 921-928 (1973).
G. Zhicheng and S. Muzeng, Boll. Union. Mat. Ital. B, 2, 163-176 (1988).
Y. C. Fey and M. A. Boles, Int. J. Heat Mass Transfer, 30, No. 4, 771-780 (1987).
A. L. Glytenko and V. A. Shmakov, Dokl. Akad. Nauk SSSR, 276, No. 6, 1392-1396 (1984).
G. G. Golov, Inzh.-Fiz. Zh., 10, No. 5, 660-667 (1966).
V. E. Kashkakha, in: Partial Differential Equations and Problems with a Free Boundary [in Russian], Kiev (1983), pp. 130-137.
Yu. V. Leont'ev, in: Mathematical Problems of Power Engineering [in Russian], Kiev (1988), pp. 130-137.
A. E. Stepanov and L. G. Kirillova, Mathematical Modeling of the Processes of Growth of Crystalline Semiconductor Materials [in Rissian], Kiev (1988).
D. E. Temkin, Inzh.-Fiz. Zh., 5, No. 4, 89-92 (1962).
N. I. Shestakov, N. V. Zapatrina, and I. I. Fogel'zang, Izv. Akad. Nauk SSSR, Metally, No. 1, 72-75 (1991).
L. Shrmga, Solidification and Crystallization of Steel Ingots [in Russian], Moscow (1985).
C. J. Coleman, Int. J. Heat Mass Transfer, 30, No. 8, 1727-1732 (1987).
B. Ya. Lyubov, Theory of Crystallization in Large Volumes [in Russian], Moscow (1975).
V. T. Borisov, B. Ya. Lyubov, and D. E. Temkin, Dokl. Akad. Nauk SSSR, 104, No. 2, 223-225 (1955).
V. E. Gul' and V. N. Kuleznev, Structure and Mechanical Properties of Polymers [in Russian], Moscow (1994).
É. M. Kartashov, Itogi Nauki Tekh., Ser. Khim. Tekhnol. Vysokomol. Soed., 25, 3-84 (1988).
É. M. Kartashov and V. Z. Parton, Itogi Nauki Tekh., Ser. Mekh. Deform. Tverd. Tela, 22, 55-127 (1991).
É. M. Kartashov, Izv. Akad. Nauk Ross. Fed., Énergiya, No. 4, 122-137 (1997).
Yu. I. Malov and L. K. Martinson, Izv. Vyssh. Uchebn. Zaved., Mashinostroenie, No. 1, 52-56 (1989).
O. F. Shlenskii, N. V. Afanas'ev, and A. G. Shashkov, Thermodestruction of Materials [in Russian], Moscow (1996).
B. M. Pankratov, Decent Modules [in Russian], Moscow (1984).
M. I. Matiichuk, Nelin. Granichn. Zadachi (Kiev), No. 2, 78-84 (1990).
A. G. Tsitsin, V. V. Zabelin, and E. B. Mukhin, in: Heat and Mass Transfer-MIF-92. Computational Experiment in Problems of Heat and Mass Exchange and Heat Transfer [in Russian], Vol. 9, Pt. 1, Minsk (1992), pp. 193-196.
V. A. Barvinok, Control of the Stressed State and Properties of Plasma Coatings [in Russian], Moscow (1990).
A. V. Zhiber and N. M. Tsirel'man, Inzh.-Fiz. Zh., 54, No. 1, 144-145 (1988).
M. F. Zhukov and O. P. Solonenko, Izv. Akad. Nauk SSSR, Ser. Tekh. Nauki, No. 11, Issue 3, 69-86 (1987).
V. V. Kudinov, P. Yu. Pekshev, and V. E. Belashenko, Plasma Deposition of a Coating [in Russian], Moscow (1990).
Su and K. Rubinski, Teploperedacha, No. 1, 156-163 (1988).
I. Groma and B. Vemo, Int. J. Heat Mass Transfer, 29, No. 4, 549-554 (1986).
B. V. Alekseev and I. T. Grushin, Transfer Processes in Reacting Gases and Plasma [in Russian], Moscow (1994).
V. N. Maslennikova, in: Application of Functional Methods to Boundary-Value Problems of Mathematical Physics, Novosibirsk (1972), pp. 150-156.
V. M. Entov, V. B. Novozhilov, and M. M. Khramtsov, in: Mathematical Modeling of Problems of the Mechanics of a Continuous Medium [in Russian], Moscow (1989), pp. 11-17.
M. A. Pudovkin and I. K. Volkov, Boundary-Value Problems of the Mathematical Theory of Heat Conduction in Applications to Calculations of the Temperature Fields in Oil Pools in Flooding [in Russian], Kazan (1978).
M. S. Hantush, in: Advances in Hydroscience, Vol. 1, New York (1964), pp. 281-432.
A. Begmatov, Kraev. Zadachi Diff. Uravn. (Tashkent), No. 3, 135-144 (1973).
A. G. Butkovskii, S. A. Malyi, and Yu. I. Andreev, Control of Heating of Metal [in Russian], Moscow (1981).
P. I. Bystrov and V. F. Goncharov, Teplofiz. Vys. Temp., 16, No. 2, 390-395 (1978).
Ya. Beer, D. Zaslavski, and S. Irmei, Physicomathematical Principles of Filtration of Water [Russian translation], Moscow (1971).
P. Ya. Polubarinova-Kochina, Theory of Motion of Ground Water [in Russian], Moscow (1977).
N. Arai and K. Karashima, Raketn. Tekh. Kosm., 12, No. 2, 81-86 (1979).
Paris and Klosner, Raketn. Tekh. Kosm., 3, No. 4, 251-253 (1965).
D. Givoli, J. Thermal Stresses, 13, No. 3, 263-279 (1990).
É. M. Kartashov, Itogi Nauki Tekh., Ser. Khim. Tekhnol. Vysokomol. Soed., 27, 3-112 (1991).
V. S. Kubiida, Fiz.-Khim. Mekh. Mater., 22, No. 4, 125-128 (1986).
S. P. Rudobashta and É. M. Kartashov, Diffusion in Chemical-Technology Processes [in Russian], Moscow (1993).
J. R. Cannon and H. H. Yin, Nonlinear Anal. Theory, Math. Appl. 115, No. 7, 639-648 (1990).
V. V. Shevelev, Izv. Akad. Nauk SSSR, Metally, Issue 6, 57-60 (1988).
S. Lin and C. K. Kwok, in: Proc. 5th Int. Conf. on Numerical Methods in Thermal Problems, Swansea, Pineridge Press (1987), pp. 176-186.
L. T. Villa, Math. Anal. Appl., 142, No. 2, 431-449 (1989).
B. Ya. Lyubov, Diffusional Processes in Inhomogeneous Solid Media [in Russian], Moscow (1981).
B. Tsoi, É. M. Kartashov, V. V. Shevelev, and A. A. Valishin, Destruction of Thin Polymer Films and Fibers [in Russian], Moscow (1997).
G. A. Nesenenko, Geometrooptical Asymptotic Method of Solution of Nonlinear Singularly Disturbed Problems of Heat and Mass Transfer in Multilayer Media with Crack-Type Defects: Bibliographic Handbook [in Russian], Moscow (1994).
É. M. Kartashov and B. Ya. Lyubov, Izv. Akad. Nauk SSSR, Énergetika Transport, No. 6, 83-111 (1974).
A. E. Alekseev, Linear Theory of Elastic Deformation of a Variable-Thickness Layer, Preprint No. 6, Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences [in Russian], Novosibirsk (1996).
L. I. Kamynin, Zh. Vychisl. Mat. Mat. Fiz., 4, No. 6, 1006-1024 (1964).
I. A. Vasin and V. L. Kamynin, Vestn. Ross. Univ. Druzhby Narodov, Ser. Matematika, No. 3, Issue 1, 15-26 (1996).
A. A. Samarskii, Theory of Difference Schemes [in Russian], Moscow (1983).
S. K. Godunov and V. S. Ryaben'kii, Difference Schemes [in Russian], Moscow (1973).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Parabolic Equations [in Russian], Moscow (1967).
O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptical Equations [in Russian], Moscow (1973).
S. D. Éidel'man, Itogi Nauki Tekh., Ser. Sovr. Problemy Mat. (Moscow), 63, 201-213 (1990).
A. A. Samarskii, Dokl. Akad. Nauk SSSR, 121, No. 2, 225-228 (1958).
L. I. Kamynin and V. N. Maslennikova, Sib. Mat. Zh., 7, No. 1, 83-128 (1966).
L. I. Kamynin, Differents. Uravn., Pt. 1, 27, No. 2, 250-263 (1991); Pt. 2, 27, No. 3, 487?496 (1991).
Vera Nikolaevna Maslennikova (on the Anniversary of Her Birth), Vestn. Ross. Univ. Druzhby Narodov, Ser. Matematika, No. 3, Issue 1, 3-14 (1996).
B. V. Bazalii, in: Functional and Numerical Methods of Mathematical Physics [in Russian], Kiev (1988), pp. 20-23.
Problems with a Free Boundary. Abstr. Conf., Oberwolfach July 10?16, 1994, Math. Forschungsinst. Oberwolfach, No. 30, 1-13 (1994).
A. N. Konenkov, Differents. Uravn., 33, No. 8, 1139-1140 (1997).
Watanabe Hisako, Math. Soc. Jpn., 49, No. 3, 339-430 (1997).
V. A. Steklov, Fundamental Problems of Mathematical Physics, 2nd edn. [in Russian], Moscow (1983).
I. G. Petrovskii, Lectures on Partial Differential Equations [in Russian], Moscow (1961).
S. L. Sobolev, Equations of Mathematical Physics [in Russian], Moscow (1966).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Moscow (1966).
V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Moscow (1971).
N. S. Koshlyakov, É. B. Gliner, and M. M. Smirnov, Partial Differential Equations of Mathematical Physics [in Russian], Moscow (1970).
S. K. Godunov, Equations of Mathematical Physics [in Russian], Moscow (1971).
O. A. Oleinik, Lectures on Partial Differential Equations [in Russian], Moscow (1976).
O. A. Ladyzhenskaya, Boundary-Value Problems of Mathematical Physics [in Russian], Moscow (1978).
Ya. B. Zel'dovich and A. D. Myshkis, Elements of Mathematical Physics [in Russian], Moscow (1973).
V. N. Maslennikova, Partial Differential Equations [in Russian], Moscow (1997).
A. V. Bitsadze, Equations of Mathematical Physics [in Russian], Moscow (1982).
G. N. Polozhii, Equations of Mathematical Physics [in Russian], Moscow (1964).
A. G. Sveshnikov, A. N. Bogomolov, and V. Z. Kravtsov, Lectures on Mathematical Physics [in Russian], Moscow (1993).
E. M. Landis, Elliptical and Parabolic Equations of Second Order [in Russian], Moscow (1971).
V. P. Mikhailov, Partial Differential Equations [in Russian], Moscow (1976).
V. Ya. Arsenin, Methods of Mathematical Physics and Special Functions [in Russsian], Moscow (1976).
I. G. Armanovich and V. I. Levin, Equations of Mathematical Physics [in Russian], Moscow (1969).
É. M. Kartashov, Izv. Ross. Akad. Nauk, Énergetika, No. 5, 3-54 (1999).
A. M. Il'in, Itogi Nauki Tekh., Ser. Sovr. Problemy Mat.: Fundament. Napravl. (Moscow, VINITI)34, 175-213 (1988).
A. M. Il'in, Coordination of Asymptotic Expansions of Solutions of Boundary-Value Problems [in Russian], Moscow (1989).
G. I. Marchuk, V. I. Agoshkov, and V. P. Shutyaev, Conjugate Equations and Algorithms of Disturbances [in Russian], Moscow (1986).
G. I. Marchuk, Conjugate Equations and Analysis of Complex Systems [in Russian], Moscow (1992).
A. A. Samarskii, V. A. Galaktionov, S. P. Kurdyumov, and A. P. Mikhailov, Aggravated Regimes in Problems for Quasilinear Parabolic Equations [in Russian], Moscow (1987).
V. F. Formalev, in: Proc. Minsk Int. Forum on Heat Transfer. Heat Conduction [in Russian], Minsk (1989), pp. 21-31.
V. G. Myaz'ya, Itogi Nauki Tekh., Sovr. Problemy Mat. (Moscow, VINITI), 27, 131-228 (1988).
N. S. Bakhvalov, Numerical Methods [in Russian], Moscow (1973).
V. S. Novikov, Prom. Teplotekh., 11, No. 5, 41-54 (1989).
V. L. Rvachev and A. P. Slesarenko, Algebraic-Logical and Projection Methods in Problems of Heat Exchange [in Russian], Kiev (1978).
M. V. Fedoryuk, Saddle-Point Method [in Russian], Moscow (1977).
M. V. Fedoryuk, Asymtotics, Integrals, and Series [in Russian], Moscow (1987).
O. G. Martynenko, A. A. Berezovskii, and Yu. A. Sokovishin, Asymptotic Methods in the Theory of Free Convective Heat Transfer [in Russian], Minsk (1979).
N. N. Moiseev, Asymptotic Methods of Nonlinear Mechanics [in Russian], Moscow (1981).
K. S. Demirchyan and P. A. Butyrin, Modeling and Computer-Aided Calculation of Electric Circuits [in Russian], Moscow (1988).
B. E. Pobedrya, Numerical Methods in the Theory of Elasticity and Plasticity [in Russian], Moscow (1995).
N. N. Muskhelishvili, Singular Integral Equations [in Russian], Moscow (1968).
M. A. Neimark, Linear Differential Operators [in Russian], Moscow (1969).
V. A. Sadovnichii, Theory of Operators [in Russian], Moscow (1986).
V. A. Il'in, Spectral Theory of Differential Operators. Self-Conjugate Differential Operators [in Russian], Moscow (1991).
V. V. Zhikov, S. M. Kozlov, and O. A. Oleinik, Averaging of Differential Operators [in Russian], Moscow (1993).
V. P. Maslov, Perturbation Theory and Asymptotic Methods [in Russian], Moscow (1965).
V. P. Maslov, V. G. Danilov, and K. A. Volosov, Mathematical Modeling of Heat-and Mass-Transfer Processes. Evolution of Dissipative Structures [in Russian], Moscow (1987).
V. P. Maslov and I. V. Fedoryuk, Quasiclassical Approximation for Equations of Quantum Mechanics [in Russian], Moscow (1976).
A. A. Samarskii (ed.), Mathematical Models and Analytical and Numerical Methods in the Transport Theory [in Russian], Minsk (1982).
G. A. Nesenenko, Boundary Layer in Nonstationary Temperature Fields of Solids [in Russian], Moscow (1991).
G. A. Nesenenko, Boundary Layer in Nonlinear Temperature Fields of Multilayer Bodies with Moving Boundaries [in Russian], Moscow (1993).
R. L. Volevich and S. G. Gindikin, Mixed Problem for Partial Differential Equations with a Quasihomogeneous Higher-Order Side [in Russian], Moscow (1999).
A. A. Samarskii and P. N. Vabishchevich, Numerical Methods of Solution of Problems of Convection-Diffusion [in Russian], Moscow (1999).
K. Rektoris, Variational Methods in Mathematical Physics and Technology [Russian translation], Moscow (1982).
Yu. S. Postol'nik and A. P. Ogurtsov, Nonlinear Applied Thermomechanics [in Russian], Kiev (2000).
Yu. S. Postol'nik, A. P. Ogurtsov, and I. S. Reshetnyak, Principles of Metallurgical Thermomechanics [in Russian], Dneprodzerzhinsk (1998).
V. S. Zarubin, Calculation and Optimization of Heat Insulation [in Russian], Moscow (1971).
Sh. N. Plyat, Thermal Calculations of Multilayer Structures of Hydraulic Works [in Russian], Moscow (1978).
B. G. Korenev, Problems of the Theory of Heat Conduction and Thermoelasticity [in Russian], Moscow (1980).
A. G. Shashkov, Systems-Structural Analysis of a Heat-Exchange Process and Its Application [in Russian], Moscow (1983).
A. G. Shashkov, V. A. Bubnov, and S. Yu. Yanovskii, Wave Phenomena of Heat Conduction [in Russian], Minsk (1993).
Ya. B. Zel'dovich, G. I. Barenblatt, B. V. Librovich, et al., Mathematical Theory of Combustion and Explosion [in Russian], Moscow (1980).
L. A. Kozdoba. Solution of Nonlinear Problems of Heat Condition [in Russian], Kiev (1976).
D. L. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Moscow (1967).
A. E. Chalykh, Diffusion in Polymer Systems [in Russian], Moscow (1987).
S. P. Rudobashta, Mass Transfer in Systems with a Solid Phase [in Russian], Moscow (1980).
Yu. M. Kolyano, Methods of Heat Conduction and Thermoelasticity of an Inhomogeneous Solid [in Russian], Kiev (1992).
Ya. S. Podstrigach and Yu. M. Kolyano, Generalized Thermomechanics [in Russian], Kiev (1976).
V. A. Kudinov, V. V. Kalashnikov, É. M. Kartashov, N. I. Laptev, and S. K. Sergeev, Heat and Mass Transfer and Thermoelasticity in Multilayer Structures [in Russian], Moscow (1997).
A. A. Il'yushin and B. E. Pobedrya, Principles of the Mathematical Theory of Thermoviscoelasticity [in Russian], Moscow (1970).
A. M. Tsibin, Some Issues of Calculation of Temperature Fields Related to the Building and Operation of Hydraulic Works Operating in the Areas of the Far North and Permafrost [in Russian], St. Petersburg (1995).
Yu. V. Polezhaev and F. B. Yurevich, Thermal Shield [in Russian], Moscow ('1976).
V. Z. Parton and B. A. Kudryavtsev, Electromagnetoelasticity of Piezoelectric and Conducting Bodies [in Russian], Moscow (1988).
G. A. Dreitser, É. K. Kalinin, and S. A. Yarkho, Enhancement of Heat Exchange in Channels [in Russian], Moscow (1990).
S. S. Kutateladze and A. I. Leont'ev, Turbulent Boundary Layer of Compressible Gas [in Russian], Novosibirsk (1962).
S. S. Kutateladze and A. I. Leont'ev, Heat and Mass Transfer and Friction in a Turbulent Boundary Layer [in Russian], Moscow (1985).
S. S. Kutateladze, Foundations of the Theory of Heat Transfer [in Russian], Novosibirsk (1970).
A. I. Leont'ev (ed.), Theory of Heat and Mass Transfer [in Russian], Moscow (1997).
A. I. Leont'ev (ed.), Gas Dynamics. Mechanics of Liquids and Gases [in Russian], Moscow (1997).
Ya. M. Kotlyar, V. D. Sovershennyi, and V. D. Strizhenov, Methods and Problems of Heat and Mass Transfer [in Russian], Moscow (1987).
Yu. M. Kolyano, M. M. Semerak, and O. A. Yavorskaya, Thermomechanics. Bibliographic Index of Domestic and Foreign Literature for 1965?1976 [in Russian], Pts. 1 and 2, Lvov (1980).
O. Ua. Yavorskaya, Yu. M. Kolyano, and M. M. Semerak, Thermomechanics. Index of Domestic and Foreign Literature for 1977-1981 [in Russian], Books 1?3, Lvov (1986).
V. V. Panasyuk, A. E. Andreikiv, and V. Z. Parton, Principles of the Mechanics of Failure of Materials [in Russian], Vol. 1, Kiev (1988).
É. M. Kartashov, Inzh.-Fiz. Zh., 73, No. 5, 825-836 (1999).
A. N. Tikhonov, Dokl. Akad. Nauk SSSR, 153, No. 1, 49-52 (1963).
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Incorrect Problems [in Russian], Moscow (1986).
O. M. Alifanov, E. A. Artyukhin, and S. V. Rumyantsev, Extremum Methods of Solution of Incorrect Problems [in Russian], Moscow (1988).
M. M. Lavrent'ev, V. G. Romanov, and S. P. Shishatskii, Incorrect Problems of Mathematical Physics and Analysis [in Russian], Moscow (1980).
A. G. Temkin, Inverse Problems of Heat Conduction [in Russian], Moscow (1973).
L. A. Kozdoba and P. G. Krukovskii, Methods of Solution of Inverse Problems of Heat Transfer [in Russian], Kiev (1982).
O. M. Alifanov, Inverse Problems of Heat Exchange [in Russian], Moscow (1988).
S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics [in Russian], Moscow (1988).
I. M. Gel'fand and G. E. Shilov, Generalized Functions and Manipulations of Them [in Russian], Moscow (1959).
V. S. Vladimirov, Generalized Functions in Mathematical Physics [in Russian], Moscow (1979).
Yu. A. Brychkov and A. P. Prudnikov, Integral Transformations of Generalized Functions [in Russian], Moscow (1977).
É. M. Kartashov, Dokl. Akad. Nauk SSSR, 351, No. 1, 32-36 (1966).
V. M. Virak, Dokl. Akad. Nauk Ukr., No. 8, 57-60 (1994).
É. M. Kartashov and B. Ya. Lyubov, Zh. Tekh. Fiz., 61, No. 1, 3-16 (1971).
M. Ya. Antimirov, Latv. Mat. Ezh., Ser. Differents. Uravn., No. 17, 70-99 (1976).
É. M. Kartashov and I. V. Stomakhin, Izv. Ross. Akad. Nauk, Énergetika, No. 5, 138-147 (1992).
E. C. Titchmarsh, Expansions in Eigenfunctions Related to Differential Equations of Second Order [Russian translation], Vol. 1, Moscow (1960); Vol. 2, Moscow (1961).
Ya. S. Podstrigach, Yu. M. Kolyano, V. I. Gromovyk, and V. L. Lobzen', Thermoelasticity of Bodies for Variable Heat-Transfer Coefficients [in Russian], Kiev (1977).
A. V. Attetkov and I. K. Volkov, Vestn. Mosk. Gos. Tekh. Uch. Im. N. É. Baumana, Ser. Estestv. Nauki, No. 1, 40-48 (1998).
G. A. Nesenenko, Izv. Ross. Akad. Nauk, Énergetika, No. 3, 83-96 (2000).
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Kartashov, É.M. Analytical Methods of Solution of Boundary‐Value Problems of Nonstationary Heat Conduction in Regions with Moving Boundaries. Journal of Engineering Physics and Thermophysics 74, 498–536 (2001). https://doi.org/10.1023/A:1016641613982
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DOI: https://doi.org/10.1023/A:1016641613982