scientific article; zbMATH DE number 7572501

Publication date: 17 August 2022

Full work available at URL: http://121.43.60.238/sxwlxbA/EN/abstract/abstract16557.shtml

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spectral gap exponential decay linear Boltzmann equation hard potentials polynomial weight

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Applications of operator theory to differential and integral equations (47N20) Boltzmann equations (35Q20)

Cites Work

Cauchy problem and exponential stability for the inhomogeneous Landau equation
Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation
Spectrum analysis of some kinetic equations
Exponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off
Stability and uniqueness for the spatially homogeneous Boltzmann equation with long-range interactions
Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff
Exponential convergence to equilibrium for the homogeneous Landau equation with hard potentials
Semigroup decay of the linearized Boltzmann equation in a torus
Relaxation rate, diffusion approximation and Fick's law for inelastic scattering Boltzmann models
On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials
Non-cutoff Boltzmann equation with polynomial decay perturbations
Exponential convergence for the linear homogeneous Boltzmann equation for hard potentials
Hypocoercivity of linear kinetic equations via Harris's theorem
Regularization estimates and Cauchy theory for inhomogeneous Boltzmann equation for hard potentials without cut-off
Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces
Entropy dissipation estimates for the linear Boltzmann operator
Exponential trend to equilibrium for the inelastic Boltzmann equation driven by a particle bath
Uniqueness in the Weakly Inelastic Regime of the Equilibrium State to the Boltzmann Equation Driven by a Particle Bath
Convergence to equilibrium for linear spatially homogeneous Boltzmann equation with hard and soft potentials: A semigroup approach in L ¹ -spaces
Pointwise Behavior of the Linearized Boltzmann Equation on a Torus
Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus
Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators

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