Multidimensional riemann problem for smilinear wave equations

DOI10.1080/03605309208820861zbMath0812.35079OpenAlexW2005050369MaRDI QIDQ4030382

Shuxing Chen

Publication date: 1 April 1993

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309208820861

zbMATH Keywords

semilinear wave equationRiemann problempropagation of singularities

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Analyticity in context of PDEs (35A20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Analysis of strong singularities for nonlinear hyperbolic equations ⋮ The Cauchy problem for nonlinear hyperbolic equations with discontinuous data ⋮ The Cauchy problem for semilinear hyperbolic equations with cross discontinuous data ⋮ Multidimensional Goursat problem for semilinear wave equations ⋮ On the existence and cusp singularity of solutions to semilinear generalized Tricomi equations with discontinuous initial data ⋮ Global solutions of a two-dimensional Riemann problem for the pressure gradient system ⋮ Large-time behaviors of the solution to 3D compressible Navier-Stokes equations in half space with Navier boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Interaction of nonlinear progressing waves for semilinear wave equations
• The Cauchy problem for semilinear hyperbolic systems with discontinuous data
• The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
• The interaction of nonlinear hyperbolic waves

This page was built for publication: Multidimensional riemann problem for smilinear wave equations