Global Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System
From MaRDI portal
Publication:5003335
DOI10.1137/20M138630XzbMath1475.35251MaRDI QIDQ5003335
Publication date: 21 July 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
two-phase flowvanishing viscosity methodcompensated compactnessrelative velocityEuler-Vlasov equationsglobal bounded weak entropy solution
Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Vlasov equations (35Q83) Euler equations (35Q31) Integro-partial differential equations (35R09) Liquid-liquid two component flows (76T06)
Related Items (3)
Global weak solutions to a quantum kinetic-fluid model with large initial data ⋮ Global weak solutions to a three-dimensional quantum kinetic-fluid model ⋮ Global weak solutions to the Euler-Vlasov equations with finite energy
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global weak solutions to the incompressible Navier-Stokes-Vlasov equations
- Isentropic gas flow for the compressible Euler equation in a nozzle
- 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.
- Global existence of weak and classical solutions for the Navier-Stokes-Vlasov-Fokker-Planck equations
- Global entropy solutions to an inhomogeneous isentropic compressible Euler system
- Convergence of the viscosity method for isentropic gas dynamics
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
- Global solutions to the Euler-Poisson equations of two-carrier types in one dimension
- Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and related systems
- A derivation of the Vlasov-Navier-Stokes model for aerosol flows from kinetic theory
- Global existence and large time behaviour of solutions for the Vlasov-Stokes equations
- Global weak solution to the inhomogeneous Navier-Stokes-Vlasov equations
- A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures
- 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
- Asymptotic analysis for a Vlasov-Fokker-Planck compressible Navier-Stokes system of equations
- Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum
- Global weak solutions to the magnetohydrodynamic and Vlasov equations
- Global well-posedness of one-dimensional compressible Navier-Stokes-Vlasov system
- Compressible Euler-Maxwell equations
- The Navier–Stokes–Vlasov–Fokker–Planck System near Equilibrium
- Solution of a Kinetic Stochastic Equation Modeling a Spray in a Turbulent Gas Flow
- Global well-posedness and large-time behavior for the inhomogeneous Vlasov–Navier–Stokes equations
- Spray Combustion and Atomization
- Global weak solutions of Vlasov‐Maxwell systems
- Existence and stability of travelling wave solutions in a kinetic model of two-phase flows
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
- Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem
- A new approach to variational problems with multiple scales
- 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
- LOCAL SMOOTH SOLUTIONS OF A THIN SPRAY MODEL WITH COLLISIONS
- GLOBAL WEAK SOLUTIONS FOR A VLASOV–FOKKER–PLANCK/NAVIER–STOKES SYSTEM OF EQUATIONS
- Large eddy simulation of droplet dispersion for inhomogeneous turbulent wall flow
- A Modeling of Biospray for the Upper Airways
- 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 Bounded Weak Entropy Solutions to the Euler--Vlasov Equations in Fluid-Particle System