Travelling waves in a convection-diffusion equation

DOI10.1016/J.JDE.2011.07.028zbMath1258.35047OpenAlexW1995702847WikidataQ59316530 ScholiaQ59316530MaRDI QIDQ657456

Peter Takáč, Hana Petzeltová, Eduard Feireisl

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.07.028

zbMATH Keywords

unconditional stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07)

Related Items (3)

Travelling wave profiles in some models with nonlinear diffusion ⋮ Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction ⋮ Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source

Cites Work

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• \(L^1\)-stability of periodic stationary solutions of scalar convection-diffusion equations
• Super and ultracontractive bounds for doubly nonlinear evolution equations
• Change of variables for absolutely continuous functions
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
• Boundary regularity for solutions of degenerate elliptic equations
• L1 stability of travelling waves with applications to convective porous media flow
• ?1 stability of shock waves in scalar viscous conservation laws
• Boundary and initial regularity for solutions of degenerate parabolic equations

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