Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients
DOI10.1080/14029251.2013.805573zbMath1420.35161OpenAlexW1995141290MaRDI QIDQ5230892
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2013.805573
method of characteristicsdiscontinuous coefficientscalar conservation lawdelta standing wavenonstrictly hyperbolicity
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- New developments of delta shock waves and its applications in systems of conservation laws
- Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model
- Transport equation and Cauchy problem for BV vector fields
- Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws
- Structural stability of solutions to the Riemann problem for a scalar conservation law
- An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by ``weaker than weak solutions of the Riemann problem
- Interactions of delta shock waves in a strictly hyperbolic system of conservation laws
- Global solutions for initial-boundary value problem of quasilinear wave equations
- The linearization of a boundary value problem for a scalar conservation law
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Shadow waves: Entropies and interactions for delta and singular shocks
- The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws. A general numerical approach
- Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
- On the linearization of systems of conservation laws for fluids at a material contact discontinuity
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
- Definition and weak stability of nonconservative products
- Riemann problems for a class of coupled hyperbolic systems of conservation laws
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Delta shock waves for the chromatography equations as self-similar viscosity limits
- Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
- $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
- The Riemann problem for the transportation equations in gas dynamics
- One-dimensional transport equations with discontinuous coefficients
- Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients
- The Riemann problem for a resonant nonlinear system of conservation laws with Dirac-measure solutions
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- Delta-shock waves as self-similar viscosity limits
- Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
- Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
- Uniqueness, Renormalization, and Smooth Approximations for Linear Transport Equations
- DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES
- On a regularization of a scalar conservation law with discontinuous coefficients
This page was built for publication: Formation of Delta Standing Wave for a Scalar Conservation Law with a Linear Flux Function Involving Discontinuous Coefficients