Global existence and decay of solutions for soft potentials to the Fokker-Planck-Boltzmann equation without cut-off
From MaRDI portal
Publication:777163
DOI10.1016/j.jmaa.2020.123947zbMath1446.35091OpenAlexW3005784947MaRDI QIDQ777163
Publication date: 3 July 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123947
Asymptotic behavior of solutions to PDEs (35B40) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84) Classical solutions to PDEs (35A09) PDEs on time scales (35R07)
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
- 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 \({\mathbb R^3}\)
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- Behaviour of the Fokker-Planck-Boltzmann equation near a Maxwellian
- 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
- Nonlinear stability of rarefaction waves for the Boltzmann equation
- 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
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- The Boltzmann equation in the whole space
- Long time behavior of the Fokker-Planck-Boltzmann equation with soft potential
This page was built for publication: Global existence and decay of solutions for soft potentials to the Fokker-Planck-Boltzmann equation without cut-off