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On the solvability of the initial- and boundary-value problem for the system of semilinear equations of magnetoelasticity

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An existence theorem is obtained for the system of semilinear equations of magnetoelasticity. The asymptotic behavior of the solutions over time is established.

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References

  1. Ya. S. Podstrigach, Ya. I. Burak, and V. F. Kondrat, Magnetothermoelasticity of Conducting Bodies [in Russian], Nauk. Dumka, Kiev (1982), 290 pp.

    Google Scholar 

  2. R. Temam, Navier-Stokes Equations [Russian translation], Mir, Moscow (1981), 408 pp.

    Google Scholar 

  3. G. Duvaut and J.-L. Lions, Inequalities in Mechanics and Physics [Russian translation], Nauka, Moscow (1980), 383 pp.

    Google Scholar 

  4. J.-L. Lions, Certain Methods for the Solution of Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1972), 587 pp.

    Google Scholar 

  5. H. Gaevskii, K. Greger, and K. Zaharias, Nonlinear Operator Equations and Differential Operator Equations [Russian translation], Mir, Moscow (1978), 336 pp.

    Google Scholar 

  6. J.-L. Lions and E. Magenes, Nonhomogeneous Boundary-Value Problems and Their Applications [Russian translation], Mir, Moscow (1971), 371 pp.

    Google Scholar 

  7. A. Azosio, “Linear second order differential equations in Hilbert space. The Cauchy problem and asymptotic behaviour for large time,” Arch. Ration. Mech. Anal.,86, No. 2, 147–180 (1984).

    Google Scholar 

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Translated from Ukrayins'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1181–1186, September, 1992.

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Botsenyuk, O.M. On the solvability of the initial- and boundary-value problem for the system of semilinear equations of magnetoelasticity. Ukr Math J 44, 1080–1084 (1992). https://doi.org/10.1007/BF01058367

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  • DOI: https://doi.org/10.1007/BF01058367

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