Asymptotic behavior of solutions to the generalized KdV-Burgers equation

zbMath1433.35337MaRDI QIDQ2280159

Ikki Fukuda

Publication date: 18 December 2019

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1571623226

zbMATH Keywords

self-similar solutionasymptotic rategeneralized KdV-Burgers equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Self-similar solutions to PDEs (35C06)

Related Items (5)

Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation ⋮ Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D ⋮ Asymptotic profiles of solutions for the generalized Fornberg-Whitham equation with dissipation ⋮ Higher-order asymptotic profiles of the solutions to the viscous Fornberg-Whitham equation ⋮ Asymptotic behavior of solutions to the generalized KdV-Burgers equation with slowly decaying data

Cites Work

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• Second term of asymptotics for KdVB equation with large initial data
• Large time behavior of solutions to the generalized Burgers equations
• Asymptotics for the Korteweg-de Vries-Burgers equation
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• Self-similar large time behavior of solutions to Korteweg–de Vries–Burgers equation
• $L^p$-decay of solutions to dissipative-dispersive perturbations of conservation laws
• Hyperbolic and Viscous Conservation Laws
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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