Burgers-Type Equations with Nonlinear Amplification: Front Motion and Blow-Up

DOI10.1007/978-3-030-25261-8_39zbMath1442.35397OpenAlexW2971523321MaRDI QIDQ5115141

Nikolai N. Nefedov

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-25261-8_39

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (1)

Internal layer for a singularly perturbed equation with discontinuous right-hand side

Cites Work

• On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification
• Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
• Existence and stability of periodic contrast structures in the reaction-advection-diffusion problem
• Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
• Periodic Solutions with a Boundary Layer of Reaction–Diffusion Equations with Singularly Perturbed Neumann Boundary Conditions

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