Concentration of mass in the pressureless limit of the Euler equations of one-dimensional compressible fluid flow
DOI10.1016/j.nonrwa.2019.103039zbMath1433.35253arXiv1904.05176OpenAlexW2976564648MaRDI QIDQ2289733
Shouqiong Sheng, Zhi-Qiang Shao
Publication date: 24 January 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05176
numerical simulationsdelta waveRiemann solutionspressureless limitEuler equations of one-dimensional compressible fluid flow
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31)
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Cites Work
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- Existence in the large for certain systems of quasilinear hyperbolic conservation laws
- On the connection between Hamiltonian many-particle systems and the hydrodynamical equations
- An integro-differential equation modelling a Newtonian dynamics and its scaling limit
- Concentration of mass in the pressureless limit of Euler equations for power law
- Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Global entropy solutions to a variant of the compressible Euler equations
- Existence of global entropy solutions of a nonstrictly hyperbolic system
- Hydrodynamic limits of the vlasov equation
- Limit relations for three simple hyperbolic systems of conservation laws
- The Riemann problem for the transportation equations in gas dynamics
- Formation of $\delta$-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids
- The limits of Riemann solutions to the simplified pressureless Euler system with flux approximation
- Interaction of delta shock waves for the Chaplygin Euler equations of compressible fluid flow with split delta functions
- Global solutions to a class of nonlinear hyperbolic systems of equations
- Note on the compressible Euler equations with zero temperature
- Well posedness for pressureless flow