Existence and asymptotic stability of solutions for periodic parabolic problems in Tikhonov-type reaction-diffusion-advection systems with KPZ nonlinearities

DOI10.1134/s1061920824030129MaRDI QIDQ6624454

N. N. Nefedov, A. O. Orlov, E. I. Nikulin

Publication date: 25 October 2024

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

asymptotic method of differential inequalitiesboundary layer asymptoticssquare of gradient nonlinearity

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Semilinear parabolic equations (35K58)

Cites Work

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• Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances
• Singularly perturbed problems in case of exchange of stabilities
• On stabilization of the solution of the Cauchy problem for quasilinear parabolic equations
• Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications
• Decay of nonnegative solutions of singular parabolic equations with KPZ-nonlinearities
• Asymptotic and Bifurcation Analysis of Wave-Pinning in a Reaction-Diffusion Model for Cell Polarization
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Existence and stability of solutions with internal transition layer for the reaction-diffusion-advection equation with a KPZ-nonlinearity
• Existence, Asymptotics, and Lyapunov Stability of Solutions of Periodic Parabolic Problems for Tikhonov-Type Reaction–Diffusion Systems
• Existence and stability of stationary solutions with boundary layers in a system of fast and slow reaction-diffusion-advection equations with KPZ nonlinearities

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