Behavior of solutions for radially symmetric solutions for Burgers equation with a boundary corresponding to the rarefaction wave

zbMath1350.35030MaRDI QIDQ315859

Itsuko Hashimoto

Publication date: 26 September 2016

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1470413991

zbMATH Keywords

\(L^{2}\) energy methodcharacteristic curve method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) First-order nonlinear hyperbolic equations (35L60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Semilinear parabolic equations (35K58)

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

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