Asymptotic behavior of solutions to the viscous Burgers equation

zbMath1122.35017MaRDI QIDQ2372376

Taku Yanagisawa

Publication date: 26 July 2007

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1174324325

zbMATH Keywords

new asymptotic approximate solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (9)

Asymptotic behavior for the heat equation in nonhomogeneous media with critical density ⋮ On the inverse problem for one-dimensional Burgers' equation from the interior observation ⋮ Nonlinear enhanced dissipation in viscous Burgers type equations II ⋮ Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance ⋮ Asymptotic agreement of moments and higher order contraction in the Burgers equation ⋮ On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis ⋮ Higher order asymptotic for Burgers equation and adhesion model ⋮ Improvement of convergence rates for a parabolic system of chemotaxis in the whole space ⋮ Asymptotic behavior of solutions to the diffusion equation

Cites Work

• Existence and nonexistence of time-global solutions to damped wave equation on half-line
• Diffusive N-Waves and Metastability in the Burgers Equation
• Rates of Convergence to Self-Similar Solutions of Burgers' Equation
• On the rate of convergence and asymptotic profile of solutions to the viscous burgers equations
• Self‐similar Asymptotics for Linear and Nonlinear Diffusion Equations
• Optimum One‐term Solutions for Heat Conduction Problems

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