The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow

DOI10.1216/RMJ-2019-49-7-2395zbMath1435.35248MaRDI QIDQ2288249

Yu Zhang, Yanyan Zhang

Publication date: 17 January 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1575774143

zbMATH Keywords

generalized Rankine-Hugoniot relationdelta contact discontinuitydelta shock wavesteady zero-pressure gas dynamics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)

Related Items (1)

Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations

Cites Work

• Unnamed Item
• Unnamed Item
• Interactions of delta shock waves and stability of Riemann solutions for nonlinear chromatography equations
• The Riemann problem with delta data for zero-pressure gas dynamics
• New developments of delta shock waves and its applications in systems of conservation laws
• Delta shock waves with Dirac delta function in both components for systems of conservation laws
• Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws
• Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
• Vanishing viscosity limit for Riemann solutions to a class of non-strictly hyperbolic systems
• The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations with a source term
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Viscous limits for a Riemannian problem to a class of systems of conservation laws
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Interactions of delta shock waves for the chromatography equations
• The Riemann problem with delta initial data for the one-dimensional Chaplygin gas equations
• The Riemann problem with delta initial data for the one-dimensional transport equations
• Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows
• Delta shock wave in the compressible Euler equations for a Chaplygin gas
• The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws
• Transonic shocks and free boundary problems for the full Euler equations in infinite nozzles
• The perturbed Riemann problem and delta contact discontinuity in chromatography equations
• Well-posedness for two-dimensional steady supersonic Euler flows past a Lipschitz wedge
• The Riemann problem for the pressureless Euler system with the Coulomb-like friction term
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks
• Measure solutions to a strictly hyperbolic system of conservation laws
• Generalized plane delta-shock waves for \(n\)-dimensional zero-pressure gas dynamics
• Subsonic-sonic limit of approximate solutions to multidimensional steady Euler equations

This page was built for publication: The Riemann problem with delta initial data for the two-dimensional steady zero-pressure adiabatic flow