Asymptotically Stable Solutions with Boundary and Internal Layers in Direct and Inverse Problems for a Singularly Perturbed Heat Equation with Nonlinear Thermal Diffusion

Author:

Davydova M. A.,Rublev G. D.

Publisher

Pleiades Publishing Ltd

Reference30 articles.

1. Galaktionov, V.A., Kurdyumov, S.P., and Samarskii, A.A., Protsessy v otkrytykh dissipativnykh sistemakh (Processes in Open Dissipative Systems), Moscow: Znanie, 1988.

2. Maslov, V.P., Danilov, V.G., and Volosov, K.L., Matematicheskoe modelirovanie protsessov teplo- i massoperenosa. Evolyutsiya dissipativnykh struktur (Mathematical Modeling of Heat and Mass Transfer Processes. Evolution of Dissipative Structures), Moscow: Nauka, 1987.

3. Samarskii, A.A. and Vabishchevich, P.N., Vychislitel’naya teploperedacha (Computational Heat Transfer), Moscow: Editorial URSS, 2003.

4. Kartashov, E.M. and Kudinov, V.A., Analiticheskie metody teorii teploprovodnosti i ee prilozhenii (Analytical Methods of the Theory of Heat Transfer and Applications), Moscow: Lenand, 2018.

5. Davydova, M.A. and Zakharova, S.A., Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient, J. Comput. Appl. Math., 2022, vol. 400, p. 113731.

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