Global existence and decay of solutions for hard potentials to the Fokker-Planck-Boltzmann equation without cut-off
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Publication:2176994
DOI10.3934/cpaa.2020135zbMath1434.35240OpenAlexW3013436524MaRDI QIDQ2176994
Publication date: 6 May 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2020135
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)
Related Items (2)
The Fokker-Planck-Boltzmann equation in low regularity space ⋮ Global existence and time decay of the non-cutoff Boltzmann equation with hard potential
Cites Work
- Unnamed Item
- The Vlasov-Poisson-Boltzmann system without angular cutoff
- The Vlasov-Poisson-Boltzmann system in the whole space: The hard potential case
- Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production
- Energy method for Boltzmann equation
- Asymptotic stability of the relativistic Boltzmann equation for the soft potentials
- A kinetic flocking model with diffusion
- Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
- Cauchy problem for the Vlasov-Poisson-Boltzmann system
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian
- Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system
- On the Fokker-Planck-Boltzmann equation
- The Boltzmann equation with a soft potential. II: Nonlinear, spatially- periodic
- The Boltzmann equation and its applications
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- Classical solutions to the Boltzmann equation for molecules with an angular cutoff
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Optimal time decay of the non cut-off Boltzmann equation in the whole space
- Global existence and decay of solutions to the Fokker-Planck-Boltzmann equation
- Exponential decay for soft potentials near Maxwellian
- Contractive metrics for a Boltzmann equation for granular gases: Diffusive equilibria
- ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS
- THE VLASOV–POISSON–BOLTZMANN SYSTEM FOR SOFT POTENTIALS
- Global classical solutions of the Boltzmann equation without angular cut-off
- Stability of the One-Species Vlasov–Poisson–Boltzmann System
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- The Boltzmann equation in the whole space
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