Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term
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Publication:2033134
DOI10.1016/j.jmaa.2021.125267zbMath1466.35263OpenAlexW3158303120MaRDI QIDQ2033134
Wanderson Lambert, Richard De la cruz, Eduardo Abreu
Publication date: 14 June 2021
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.2021.125267
source termsCoulomb friction termimproved Lagrangian-Eulerian schemenonsymmetric Keyfitz-Kranzer system
Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (5)
Exact delta shock wave solution to the Riemann problem for the three-component chromatography model ⋮ Riemann problems and wave interactions for a non-symmetric Keyfitz–Kranzer system with a source term ⋮ The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model ⋮ Riemann problem and wave interactions for a Temple-class hyperbolic system of conservation laws ⋮ Delta shock solution for a generalized zero-pressure gas dynamics system with linear damping
Cites Work
- Unnamed Item
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- Unnamed Item
- 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
- Concentration and cavitation in the Euler equations for nonisentropic fluids with the flux approximation
- Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type
- On a universal structure for immiscible three-phase flow in virgin reservoirs
- Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
- Riemann problem for a \(2\times 2\) hyperbolic system with linear damping
- The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
- A system of non-strictly hyperbolic conservation laws arising in elasticity theory
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- The convergence of Riemann solutions to the modified Chaplygin gas equations with a Coulomb-like friction term as the pressure vanishes
- Riemann problems for a class of coupled hyperbolic systems of conservation laws with a source term
- Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
- Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
- A system of hyperbolic conservation laws with frictional damping
- Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
- Vanishing viscosity approach to a system of conservation laws admitting \(\delta\) waves
- Delta shock waves for a linearly degenerate hyperbolic system of conservation laws of Keyfitz-Kranzer type
- Interaction of elementary waves for compressible Euler equations with frictional damping
- Riemann problem for a compressible perfect fluid with a constant external force for the Chaplygin gas
- A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications
- A new finite volume approach for transport models and related applications with balancing source terms
- On a nonsymmetric Keyfitz-Kranzer system of conservation laws with generalized and modified Chaplygin gas pressure law
- Pressureless magnetohydrodynamics system: Riemann problem and vanishing magnetic field limit
- Eulerian droplet model: delta-shock waves and solution of the Riemann problem
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Interaction of delta shock waves for a nonsymmetric Keyfitz-Kranzer system of conservation laws
- The Riemann problem for the pressureless Euler system with the Coulomb-like friction term
- Ordinary Differential Equations and Dynamical Systems
- Hyperbolic systems of conservation laws II
- The motion of a finite mass of granular material down a rough incline
- A new 4th order runge-kutta method for initial value problems with error control
- The Riemann problem for the transportation equations in gas dynamics
- Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping
- Flux approximation to the Aw-Rascle model of traffic flow
- Viscous singular shock structure for a nonhyperbolic two-fluid model
- Resurrection of "Second Order" Models of Traffic Flow
- On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows
- Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model
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