Wave phenomena to the three-dimensional fluid-particle model
DOI10.1007/s00205-021-01747-zOpenAlexW4205273471MaRDI QIDQ2070917
Teng Wang, Yi Wang, Hai-liang Li
Publication date: 25 January 2022
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-021-01747-z
Chapman-Enskog expansioncompressible Navier-Stokes equationsrarefaction wavecompressible Euler equationVlasov-Fokker-Planck
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Vlasov equations (35Q83) Euler equations (35Q31) Fokker-Planck equations (35Q84) Pattern formations in context of PDEs (35B36)
Related Items (8)
Cites Work
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- Energy method for Boltzmann equation
- Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
- On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
- Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
- Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
- Dispersion relations for the linearized Fokker-Planck equation
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Convergence rate for compressible Euler equations with damping and vacuum
- Global existence and decay rates of the solutions near Maxwellian for non-linear Fokker-Planck equations
- The Riemann problem for the multidimensional isentropic system of gas dynamics is ill-posed if it contains a shock
- Stability of nonlinear wave patterns to the bipolar Vlasov-Poisson-Boltzmann system
- Stability of planar rarefaction wave to 3D full compressible Navier-Stokes equations
- Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum
- Nonlinear stability of rarefaction waves for compressible Navier-Stokes equations
- Compressible flow with damping and vacuum
- Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional compressible Navier-Stokes equations
- Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation
- 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
- GLOBAL CLASSICAL SOLUTIONS FOR A COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL
- On weighted isoperimetric and Poincaré-type inequalities
- STABILITY OF RAREFACTION WAVES AND VACUUM STATES FOR THE MULTIDIMENSIONAL EULER EQUATIONS
- Uniqueness of rarefaction waves in multidimensional compressible Euler system
- Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
- Stability of the Superposition of a Viscous Contact Wave with Two Rarefaction Waves to the Bipolar Vlasov--Poisson--Boltzmann System
- On contact discontinuities in multi-dimensional isentropic Euler equations
- Non-uniqueness of admissible weak solutions to the Riemann problem for isentropic Euler equations
- The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
- Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations
- Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations
- Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions
- ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES OF SOLUTIONS FOR VISCOUS CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS
- Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system
- Explicit structure of the Fokker-Planck equation with potential
- Global Ill‐Posedness of the Isentropic System of Gas Dynamics
- Stability of the Isentropic Riemann Solutions of the Full Multidimensional Euler System
- Spectrum analysis of the linear Fokker–Planck equation
- 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
- Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
- 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
- Asymptotic Stability of Planar Rarefaction Waves for Viscous Conservation Laws in Several Dimensions
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