Asymptotic behavior of radially symmetric solutions for the Burgers equation in several space dimensions

DOI10.1016/j.na.2014.01.004zbMath1295.35090OpenAlexW2063236116MaRDI QIDQ2442735

Itsuko Hashimoto

Publication date: 1 April 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.01.004

zbMATH Keywords

viscous conservation lawrarefaction waveexterior of a balltime weighted energy method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Axially symmetric solutions to PDEs (35B07)

Related Items (4)

Stability of the radially symmetric stationary wave of the Burgers equation with multi‐dimensional initial perturbations in exterior domain ⋮ Asymptotic behavior toward nonlinear waves for radially symmetric solutions of the multi-dimensional Burgers equation ⋮ Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions ⋮ Radially symmetric stationary wave for two-dimensional Burgers equation

Cites Work

• Stability of degenerate stationary waves for viscous gases
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES
• STABILITY OF RAREFACTION WAVES FOR A MODEL SYSTEM OF A RADIATING GAS

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