Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space

DOI10.1016/j.jmaa.2020.123932zbMath1442.35258OpenAlexW3005000545MaRDI QIDQ777154

Jianli Liu, Ruixi Liu

Publication date: 3 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123932

zbMATH Keywords

wave interactionsdelta shock wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Riemann problem and wave interactions for a Temple-class hyperbolic system of conservation laws ⋮ Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas

Cites Work

• New developments of delta shock waves and its applications in systems of conservation laws
• Riemann problem for the isentropic relativistic Chaplygin Euler equations
• Delta shock waves with Dirac delta function in both components for systems of conservation laws
• Delta shock waves in chromatography equations
• Riemann problem for the relativistic Chaplygin Euler equations
• The vanishing pressure limits of Riemann solutions to the Chaplygin gas equations with a source term
• The dynamics of relativistic strings moving in the Minkowski space \(\mathbb{R}^{1+n}\)
• The initial-boundary value problem on a strip for the equation of time-like extremal surfaces
• The asymptotic limits of solutions to the Riemann problem for the scaled leroux system
• The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term
• Riemann problem and wave interactions in Magnetogasdynamics
• Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws
• Interactions of delta shock waves for the chromatography equations
• Delta shock waves for a linearly degenerate hyperbolic system of conservation laws of Keyfitz-Kranzer type
• The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations
• Riemann problems for a class of coupled hyperbolic systems of conservation laws
• The limit behavior of the Riemann solutions to the generalized Chaplygin gas equations with a source term
• Global solutions of the perturbed Riemann problem for the chromatography equations
• Stability of the Riemann solutions for a Chaplygin gas
• Global weak and smooth solutions of the equation for timelike extremal surface in Minkowski space
• Delta shock wave in the compressible Euler equations for a Chaplygin gas
• Solution formula and time-periodicity for the motion of relativistic strings in the Minkowski space \(\mathbb R^{1+n}\)
• Interactions of delta shock waves for the transport equations with split delta functions
• Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime
• Hyperbolic systems of conservation laws II
• The Riemann problem for the transportation equations in gas dynamics
• On finite time BV blow-up for the p-system
• Interactions of delta shock waves for the relativistic Chaplygin Euler equations with split delta functions
• Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
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