The step-decay problem for the Korteweg-de Vries-Burgers equation

DOI10.1007/BF01090673zbMath0739.35092OpenAlexW1990269229MaRDI QIDQ1814348

Pavel I. Naumkin, Iliya A. Shishmarev

Publication date: 25 June 1992

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01090673

zbMATH Keywords

smooth initial values

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (8)

The effect of weak mutual diffusion on transport processes in a multiphase medium ⋮ Boundary control of the generalized Korteweg-de Vries-Burgers equation ⋮ Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation with weak diffusion ⋮ Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains ⋮ Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation ⋮ Examples of the absence of a traveling wave for the generalized Korteweg-de Vries-Burgers equation ⋮ Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices ⋮ Stabilization of the Korteweg-de Vries-Burgers equation with non-periodic boundary feedbacks

Cites Work

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• Exact solutions to the Korteweg-de Vries-Burgers equation
• Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
• A non-linear equation incorporating damping and dispersion

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