Global weak solutions to the Euler-Vlasov equations with finite energy
DOI10.1016/j.jde.2022.01.017zbMath1496.35290OpenAlexW4205864448MaRDI QIDQ2074439
Publication date: 10 February 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.017
densitycompensated compactnessfinite energyrelative velocity\( L^p\) estimatesEuler-Vlasov equations
PDEs in connection with fluid mechanics (35Q35) Compactness (54D30) General aerodynamics and subsonic flows (76G25) Gas dynamics (general theory) (76N15) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Vlasov equations (35Q83) Euler equations (35Q31)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions to the incompressible Navier-Stokes-Vlasov equations
- Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics
- Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system
- Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
- On the Lagrangian structure of transport equations: the Vlasov-Poisson system
- Global entropy solutions to an inhomogeneous isentropic compressible Euler system
- Convergence of the viscosity method for isentropic gas dynamics
- Finite energy solutions to the isentropic Euler equations with geometric effects
- Convergence of approximate solutions to conservation laws
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
- Vanishing viscosity approach to the compressible Euler equations for transonic nozzle and spherically symmetric flows
- Global weak solutions to inviscid Burgers-Vlasov equations
- Vanishing viscosity limit for viscous Burgers-Vlasov equations
- Global existence and large time behaviour of solutions for the Vlasov-Stokes equations
- Vanishing viscosity solutions of the compressible Euler equations with spherical symmetry and large initial data
- A formal passage from a system of Boltzmann equations for mixtures towards a Vlasov-Euler system of compressible fluids
- Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force
- Some results for general systems of isentropic gas dynamics
- Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
- Asymptotic problems for a kinetic model of two-phase flow
- GLOBAL CLASSICAL SOLUTIONS FOR A COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL
- The Navier–Stokes–Vlasov–Fokker–Planck System near Equilibrium
- Dynamic Theory of Suspensions with Brownian Effects
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
- Existence and stability of travelling wave solutions in a kinetic model of two-phase flows
- Vanishing viscosity limit of the Navier-Stokes equations to the euler equations for compressible fluid flow
- Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System
- Global entropy solutions to multi-dimensional isentropic gas dynamics with spherical symmetry
- COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS
- GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
- Strong Solutions to the Compressible Navier--Stokes--Vlasov--Fokker--Planck Equations: Global Existence Near the Equilibrium and Large Time Behavior
This page was built for publication: Global weak solutions to the Euler-Vlasov equations with finite energy
