Boundary control problem for the reaction-advection-diffusion equation with a modulus discontinuity of advection

DOI10.1134/s0040577924070043zbMath1548.37119MaRDI QIDQ6632252

Yuxuan Wei, V. T. Volkov, N. T. Levashova, Han Cheng, P. E. Bulatov

Publication date: 4 November 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

boundary controlsmall parameterBurgers equationasymptotic methodsdifference approximationadaptive meshesmodulus nonlinearity

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

Cites Work

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• The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection
• Existence of solutions of a system of two ordinary differential equations with a modular-cubic type nonlinearity

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