Velocity decay estimates for Boltzmann equation with hard potentials

Nonlinearity ◽

10.1088/1361-6544/ab7729 ◽

2020 ◽

Vol 33 (6) ◽

pp. 2941-2958

Author(s):

Stephen Cameron ◽

Stanley Snelson

Keyword(s):

Boltzmann Equation ◽

Decay Estimates ◽

Velocity Decay ◽

Hard Potentials

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Global existence and decay of solutions for hard potentials to the fokker-planck-boltzmann equation without cut-off

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020135 ◽

2020 ◽

Vol 19 (6) ◽

pp. 3113-3136

Author(s):

Lvqiao Liu ◽

◽

Hao Wang

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Decay Of Solutions ◽

Hard Potentials ◽

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Global existence and decay estimates of the Boltzmann equation with frictional force: The general results

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.02.070 ◽

2014 ◽

Vol 417 (1) ◽

pp. 481-503

Author(s):

Zaihong Jiang ◽

Ying Wang

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Frictional Force ◽

Decay Estimates ◽

The Boltzmann Equation

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On Exponential Moments of the Homogeneous Boltzmann Equation for Hard Potentials Without Cutoff

Communications in Mathematical Physics ◽

10.1007/s00220-021-04205-9 ◽

2021 ◽

Vol 387 (2) ◽

pp. 973-994

Author(s):

Nicolas Fournier

Keyword(s):

Boltzmann Equation ◽

Homogeneous Boltzmann Equation ◽

Exponential Moments ◽

Hard Potentials

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Decay estimates for large velocities in the Boltzmann equation without cutoff

Journal de l’École polytechnique — Mathématiques ◽

10.5802/jep.113 ◽

2019 ◽

Vol 7 ◽

pp. 143-183 ◽

Author(s):

Cyril Imbert ◽

Clément Mouhot ◽

Luis Silvestre

Keyword(s):

Boltzmann Equation ◽

Decay Estimates ◽

The Boltzmann Equation

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Large-Time Behavior of Solutions for the Boltzmann Equation with Hard potentials

Communications in Mathematical Physics ◽

10.1007/s00220-006-0108-z ◽

2006 ◽

Vol 269 (1) ◽

pp. 17-37 ◽

Author(s):

Ming-Yi Lee ◽

Tai-Ping Liu ◽

Shih-Hsien Yu

Keyword(s):

Boltzmann Equation ◽

Large Time Behavior ◽

Time Behavior ◽

The Boltzmann Equation ◽

Hard Potentials

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Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials

Journal of Mathematical Physics ◽

10.1063/1.5124930 ◽

2020 ◽

Vol 61 (2) ◽

pp. 021504

Author(s):

Yu-Chu Lin ◽

Haitao Wang ◽

Kung-Chien Wu

Keyword(s):

Boltzmann Equation ◽

Spatial Behavior ◽

Linearized Boltzmann Equation ◽

Hard Potentials

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Optimal Decay Estimates on the Linearized Boltzmann Equation with Time Dependent Force and their Applications

Communications in Mathematical Physics ◽

10.1007/s00220-007-0366-4 ◽

2007 ◽

Vol 277 (1) ◽

pp. 189-236 ◽

Author(s):

Renjun Duan ◽

Seiji Ukai ◽

Tong Yang ◽

Huijiang Zhao

Keyword(s):

Boltzmann Equation ◽

Time Dependent ◽

Decay Estimates ◽

Linearized Boltzmann Equation ◽

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Exponential Convergence to Equilibrium for the Homogeneous Boltzmann Equation for Hard Potentials Without Cut-Off

Journal of Statistical Physics ◽

10.1007/s10955-014-1066-z ◽

2014 ◽

Vol 157 (3) ◽

pp. 474-496 ◽

Author(s):

Isabelle Tristani

Keyword(s):

Boltzmann Equation ◽

Exponential Convergence ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

Hard Potentials

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Regularization Estimates and Cauchy Theory for Inhomogeneous Boltzmann Equation for Hard Potentials Without Cut-Off

Communications in Mathematical Physics ◽

10.1007/s00220-020-03682-8 ◽

2020 ◽

Vol 377 (1) ◽

pp. 697-771 ◽

Author(s):

Frédéric Hérau ◽

Daniela Tonon ◽

Isabelle Tristani

Keyword(s):

Boltzmann Equation ◽

Hard Potentials

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Rate of Convergence to Equilibrium for the Spatially Homogeneous Boltzmann Equation with Hard Potentials

Communications in Mathematical Physics ◽

10.1007/s00220-005-1455-x ◽

2005 ◽

Vol 261 (3) ◽

pp. 629-672 ◽

Author(s):

Clément Mouhot

Keyword(s):

Boltzmann Equation ◽

Rate Of Convergence ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

Spatially Homogeneous ◽

Spatially Homogeneous Boltzmann Equation ◽

Hard Potentials

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