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Transport equations

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Abstract

We study questions of the general theory and solution methods for linear transport problems in a homogenous half-space and in a plane layer of finite thickness. We propose developing a factorization interpretation of the operator approach and consider the nonlinear factorization equations and generalized Ambartsumian equation in combination with the possibilities of two analytic semigroups.

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References

  1. S. Chandrasekhar, Radiative Transfer, Oxford Univ. Press, Oxford (1950).

    MATH  Google Scholar 

  2. V. V. Sobolev, Transfer of Radiant Energy in Atmospheres of Stars and Planets [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  3. D. I. Nagirner, Lectures on the Theory of Transfer of Radiation [in Russian], St. Petersburg Univ. Press, St. Petersburg (2001).

    Google Scholar 

  4. V. S. Vladimirov, PMM, 19, No. 3, 315–324 (1955).

    MATH  Google Scholar 

  5. V. S. Vladimirov, “Mathematical problems of the uniform-speed theory of transport [in Russian],” in: Trudy Mat. Inst. Steklov., Vol. 61, Acad. Sci. USSR, Moscow (1961), pp. 3–158.

    Google Scholar 

  6. N. B. Engibaryan and M. A. Mnatsakanyan, Soviet Phys. Dokl., 19, 391–392 (1975).

    ADS  Google Scholar 

  7. N. B. Engibaryan and É. A. Melkonyan, “Radiation transfer in a slab and Ambartsumian’s equation [in Russian],” in: Invariance Principle and Its Applications, Akad. Nauk Arm. SSR, Yerevan (1989), pp. 326–333.

    Google Scholar 

  8. L. G. Arabadzhyan and N. B. Engibaryan, J. Soviet Math., 36, 745–791 (1987).

    Article  MATH  Google Scholar 

  9. V. A. Ambartsumian, Scientific Works [in Russian] (V. V. Sobolev, ed.), Vol. 1, Yerevan, Izd. AN Arm. SSR (1960).

  10. A. Shimizu and K. Aoki, Application of Invariant Embedding to Reactor Physics, Acad. Press, New York (1972).

    Google Scholar 

  11. N. B. Yengibaryan and A. G. Barseghyan, Astrophysics, 55, 565–580 (2012).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia

    N. B. Engibaryan & A. G. Barseghyan

Authors
  1. N. B. Engibaryan
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  2. A. G. Barseghyan
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Correspondence to N. B. Engibaryan.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 180, No. 2, pp. 206–216, August, 2014.

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Engibaryan, N.B., Barseghyan, A.G. Transport equations. Theor Math Phys 180, 932–941 (2014). https://doi.org/10.1007/s11232-014-0189-3

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  • DOI: https://doi.org/10.1007/s11232-014-0189-3

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