Regularization properties of the 2-dimensional non radially symmetric non cutoff spatially homogeneous Boltzmann equation for Maxwellian molecules
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Publication:4398407
DOI10.1080/00411459708020291zbMath0901.76072OpenAlexW2107935817MaRDI QIDQ4398407
Publication date: 19 July 1998
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00411459708020291
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)
Related Items (29)
Smoothness of the Solution of the Spatially Homogeneous Boltzmann Equation without Cutoff ⋮ On the Boltzmann equation for long-range interactions ⋮ Propagation of Gevrey regularity for solution of non-cutoff Boltzmann equation ⋮ A new regularization mechanism for the Boltzmann equation without cut-off ⋮ LITTLEWOOD–PALEY THEORY AND REGULARITY ISSUES IN BOLTZMANN HOMOGENEOUS EQUATIONS I: NON-CUTOFF CASE AND MAXWELLIAN MOLECULES ⋮ Spectral gap and coercivity estimates for linearized Boltzmann collision operators without angular cutoff ⋮ Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff ⋮ The Gevrey regularity for the Vlasov-Poisson-Landau and the non-cutoff Vlasov-Poisson-Boltzmann systems ⋮ Regularity estimates and open problems in kinetic equations ⋮ The smoothing effect in sharp Gevrey space for the spatially homogeneous non-cutoff Boltzmann equations with a hard potential ⋮ Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off ⋮ Regularization properties of the 2D homogeneous Boltzmann equation without cutoff ⋮ The Boltzmann equation without angular cutoff in the whole space. I: global existence for soft potential ⋮ Global classical solutions of the Boltzmann equation without angular cut-off ⋮ Non-cutoff Boltzmann equation with polynomial decay perturbations ⋮ Global hypoelliptic estimates for fractional order kinetic equation ⋮ Global existence and full regularity of the Boltzmann equation without angular cutoff ⋮ Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules ⋮ The Boltzmann equation without angular cutoff in the whole space: qualitative properties of solutions ⋮ Regularizing effect and local existence for the non-cutoff Boltzmann equation ⋮ On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness ⋮ Regularity of solutions to the spatially homogeneous Boltzmann equation for non Maxwellian molecules without angular cutoff ⋮ Global existence and time decay of the non-cutoff Boltzmann equation with hard potential ⋮ Regularity of solutions for the Boltzmann equation without angular cutoff ⋮ Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation ⋮ On Pointwise Exponentially Weighted Estimates for the Boltzmann Equation ⋮ Around 3D Boltzmann non linear operator without angular cutoff, a new formulation ⋮ Finiteness of entropy for the homogeneous Boltzmann equation with measure initial condition ⋮ The Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
Cites Work
- Intermolecular forces of infinite range and the Boltzmann equation
- A proof of the smoothing properties of the positive part of Boltzmann's kernel
- About the regularizing properties of the non-cut-off Kac equation
- Regularization for the non-cutoff 2D radially symmetric boltzmann equation with a velocity dependent cross section
- Regularity in the boltzmann equation and the radon transform
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