The compressible Euler system with nonlocal pressure: global existence and relaxation
DOI10.1007/S00526-024-02774-WzbMATH Open1548.35202MaRDI QIDQ6564422
Piotr B. Mucha, Raphaël Danchin
Publication date: 1 July 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- A new model for self-organized dynamics and its flocking behavior
- Large time asymptotics for partially dissipative hyperbolic systems
- Strong relaxation of the isothermal Euler system to the heat equation
- Kinetic models for the trading of goods
- Partially dissipative hyperbolic systems in the critical regularity setting: the multi-dimensional case
- Diffusive relaxation limit of classical solutions to the damped compressible Euler equations
- A survey of multi-agent formation control
- Compressible Navier-Stokes system: large solutions and incompressible limit
- Global classical solutions for partially dissipative hyperbolic system of balance laws
- Partially dissipative systems in the critical regularity setting, and strong relaxation limit
- Critical thresholds in 1D Euler equations with non-local forces
- On the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior
- Fourier Analysis and Nonlinear Partial Differential Equations
- Density-induced consensus protocol
- The strong relaxation limit of the multidimensional isothermal Euler equations
- Regular solutions to the fractional Euler alignment system in the Besov spaces framework
- Emergent Behavior in Flocks
- Global existence for partially dissipative hyperbolic systems in the \(L^p\) framework, and relaxation limit
This page was built for publication: The compressible Euler system with nonlocal pressure: global existence and relaxation
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6564422)