Long time behavior of the Fokker-Planck-Boltzmann equation with soft potential
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Publication:4902587
DOI10.1090/S0033-569X-2012-01269-3zbMath1257.82093MaRDI QIDQ4902587
Publication date: 16 January 2013
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)
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Cites Work
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- Energy method for Boltzmann equation
- On the Cauchy problem of the Boltzmann equation with a soft potential
- 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. I: Linear, spatially- homogeneous
- 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
- On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation
- Optimal time decay of the non cut-off Boltzmann equation in the whole space
- Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space
- 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 Boltzmann equation and thirteen moments
- Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations
- Entropy production and the rate of convergence to equilibrium for the Fokker-Planck equation
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- The Boltzmann equation in the whole space
- On the Cauchy problem of the Boltzmann and Landau equations with soft potentials
