Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions

DOI10.1016/j.jde.2017.01.020zbMath1364.35271OpenAlexW2584593968MaRDI QIDQ512636

Hideo Kozono, Itsuko Hashimoto

Publication date: 27 February 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.01.020

zbMATH Keywords

Galerkin methodasymptotic behaviordamped wave equationstationary wave

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45)

Related Items (1)

On the affine-periodic solutions of discrete dynamical systems

Cites Work

• Behavior of solutions for radially symmetric solutions for Burgers equation with a boundary corresponding to the rarefaction wave
• Asymptotic behavior of solutions for damped wave equations with non-convex convection term on the half line
• Blow-up results to certain hyperbolic model problems in fluid mechanics
• Weak solutions of Navier-Stokes equations
• Hyperbolic Navier-Stokes equations. I: Local well-posedness
• Hyperbolic Navier-Stokes equations. II: Global existence of small solutions
• Global existence for a damped wave equation and convergence towards a solution of the Navier-Stokes problem
• Asymptotic behavior of radially symmetric solutions for the Burgers equation in several space dimensions
• LARGE TIME BEHAVIOR OF SOLUTIONS TO A SEMILINEAR HYPERBOLIC SYSTEM WITH RELAXATION
• THE ANTI-DERIVATIVE METHOD IN THE HALF SPACE AND APPLICATION TO DAMPED WAVE EQUATIONS WITH NON-CONVEX CONVECTION
• Unnamed Item

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