Gevrey regularity and analyticity for the solutions of the Vlasov-Navier-Stokes system
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Publication:6661365
DOI10.1137/23m1621617MaRDI QIDQ6661365
Publication date: 13 January 2025
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
global classical solutionsGevrey regularitypropagation of regularityVlasov-Navier-Stokes systemGevrey/analytic solutions
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35)
Cites Work
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- Global existence of solutions for the coupled Vlasov and Navier-Stokes equations.
- Some aspects of the modeling at different scales of multiphase flows
- On Landau damping
- Analyticity of solutions for a generalized Euler equation
- Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain
- Ordinary differential equations, transport theory and Sobolev spaces
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- The mean-field limit for solid particles in a Navier-Stokes flow
- Propagation de l'analyticité locale pour les solutions de l'équation d'Euler. (Propagation of local analyticity for the solutions of the Euler equation)
- Partial differential equations. 4th ed
- Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
- Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
- Quatre leçons sur les fonctions quasianalytiques de variable réelle.
- Sur la nature analytique des solutions des équations aux dérivées partielles. Premier mémoire.
- Landau damping: paraproducts and Gevrey regularity
- 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
- On the homogenization of the Stokes problem in a perforated domain
- The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria
- Large time behavior of the Vlasov-Navier-Stokes system on the torus
- Gevrey regularity for the Vlasov-Poisson system
- Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow
- Derivation of the Stokes-Brinkman problem and extension to the Darcy regime
- On regular solutions and singularity formation for Vlasov/Navier-Stokes equations with degenerate viscosities and vacuum
- Large-time behavior of small-data solutions to the Vlasov-Navier-Stokes system on the whole space
- Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system
- Global existence and large time behaviour of solutions for the Vlasov-Stokes equations
- On the derivation of a Stokes-Brinkman problem from Stokes equations around a random array of moving spheres
- On the effect of polydispersity and rotation on the Brinkman force induced by a cloud of particles on a viscous incompressible flow
- A derivation of the Vlasov-Stokes system for aerosol flows from the kinetic theory of binary gas mixtures
- Quasineutral limit for Vlasov-Poisson with Penrose stable data
- Global well-posedness and large-time behavior for the inhomogeneous Vlasov–Navier–Stokes equations
- On quasianalytic classes of functions, expansible in series
- On the radius of analyticity of solutions to the three-dimensional Euler equations
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- The Inertialess Limit of Particle Sedimentation Modeled by the Vlasov--Stokes Equations
- Three-Dimensional Numerical Study of a Fluid-Kinetic Model for Respiratory Aerosols with Variable Size and Temperature
- Global existence of weak solutions to the incompressible Vlasov–Navier–Stokes system coupled to convection–diffusion equations
- Concentration versus absorption for the Vlasov–Navier–Stokes system on bounded domains
- COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS
- Modelling and Numerics for Respiratory Aerosols
- Decay and absorption for the Vlasov-Navier-Stokes system with gravity in a half-space
- Convergence rates and fluctuations for the Stokes-Brinkman equations as homogenization limit in perforated domains
- Local well-posedness for the compressible Navier-Stokes-BGK model in Sobolev spaces with exponential weight
- On hydrodynamic limits of the Vlasov-Navier-Stokes system
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