Global existence and time decay of the non-cutoff Boltzmann equation with hard potential

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103416 ◽

2022 ◽

Vol 63 ◽

pp. 103416

Author(s):

Hao Wang ◽

Zhendong Fang

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

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Global existence and time decay estimate of solutions to the Keller–Segel system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5352 ◽

2018 ◽

Vol 42 (1) ◽

pp. 375-402

Author(s):

Zhong Tan ◽

Jianfeng Zhou

Keyword(s):

Global Existence ◽

Decay Estimate ◽

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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 of smooth solutions in three dimensions for the semiconductor vlasov-poisson-boltzmann equation

Nonlinear Analysis ◽

10.1016/s0362-546x(97)82869-6 ◽

1997 ◽

Vol 28 (7) ◽

pp. 1193-1211 ◽

Author(s):

Hkan Andréasson

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Three Dimensions ◽

Smooth Solutions ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation

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Global existence and time decay rates for the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities

Science China Mathematics ◽

10.1007/s11425-020-1719-9 ◽

2020 ◽

Author(s):

Guochun Wu ◽

Yinghui Zhang ◽

Anzhen Zhang

Keyword(s):

Global Existence ◽

Decay Rates ◽

Navier Stokes ◽

Poisson System ◽

Time Decay Rates

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Global existence to the BGK model of Boltzmann equation

Journal of Differential Equations ◽

10.1016/0022-0396(89)90173-3 ◽

1989 ◽

Vol 82 (1) ◽

pp. 191-205 ◽

Author(s):

B. Perthame

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

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Optimal time decay of the Boltzmann equation with frictional force

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.09.054 ◽

2011 ◽

Vol 374 (2) ◽

pp. 499-515 ◽

Author(s):

Wang Ying ◽

Zaihong Jiang

Keyword(s):

Boltzmann Equation ◽

Frictional Force ◽

Optimal Time ◽

The Boltzmann Equation

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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 the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

Journal of Mathematical Physics ◽

10.1063/1.526664 ◽

1985 ◽

Vol 26 (2) ◽

pp. 334-338 ◽

Author(s):

N. Bellomo ◽

G. Toscani

Keyword(s):

Cauchy Problem ◽

Boltzmann Equation ◽

Asymptotic Stability ◽

Global Existence ◽

Nonlinear Boltzmann Equation ◽

The Cauchy Problem

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Mildly degenerate Kirchhoff equations with weak dissipation: Global existence and time decay

Journal of Differential Equations ◽

10.1016/j.jde.2009.08.014 ◽

2010 ◽

Vol 248 (2) ◽

pp. 381-402 ◽

Author(s):

Marina Ghisi ◽

Massimo Gobbino

Keyword(s):

Global Existence ◽

Kirchhoff Equations ◽

Weak Dissipation

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The Boltzmann equation, Besov spaces, and optimal time decay rates inRxn

Advances in Mathematics ◽

10.1016/j.aim.2014.04.012 ◽

2014 ◽

Vol 261 ◽

pp. 274-332 ◽

Author(s):

Vedran Sohinger ◽

Robert M. Strain

Keyword(s):

Boltzmann Equation ◽

Besov Spaces ◽

Decay Rates ◽

Optimal Time ◽

The Boltzmann Equation ◽

Time Decay Rates

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