Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation

Author:

Hashimoto Itsuko,Matsumura Akitaka

Funder

Sumitomo Foundation

JSPS

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference14 articles.

1. Rarefactions and large time behavior for parabolic equations and monotone schemes;Harabetian;Comm. Math. Phys.,1988

2. Asymptotic behavior of radially symmetric solutions for Burgers equation in several space dimensions;Hashimoto;Nonlinear Anal.,2014

3. Behavior of solutions for radially symmetric solutions for Burgers equation with a boundary corresponding to the rarefaction wave;Hashimoto;Osaka J. Math.,2016

4. Convergence rate to the nonlinear waves for viscous conservation laws on the half line;Hashimoto;Methods Appl. Anal.,2009

5. Lp energy method for multidimensional viscous conservation laws and application to the stability of planar waves;Kawashima;J. Hyperbolic Differ. Equ.,2004

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