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Exterior Problem of Boltzmann Equation with Temperature Difference
1.  1726 Iwasaki, Hodogaya, Yokohama 2400015 
2.  Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong 
3.  School of Mathematics and Statistics, Wuhan University, Wuhan 430072 
[1] 
Tong Yang, Seiji Ukai, Huijiang Zhao. Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 495520. doi: 10.3934/dcds.2009.23.495 
[2] 
Leif Arkeryd, Raffaele Esposito, Rossana Marra, Anne Nouri. Exponential stability of the solutions to the Boltzmann equation for the Benard problem. Kinetic & Related Models, 2012, 5 (4) : 673695. doi: 10.3934/krm.2012.5.673 
[3] 
Miguel Escobedo, MinhBinh Tran. Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature. Kinetic & Related Models, 2015, 8 (3) : 493531. doi: 10.3934/krm.2015.8.493 
[4] 
Anatoli F. Ivanov, Sergei Trofimchuk. Periodic solutions and their stability of a differentialdifference equation. Conference Publications, 2009, 2009 (Special) : 385393. doi: 10.3934/proc.2009.2009.385 
[5] 
Kazuhiro Ishige, Michinori Ishiwata. Global solutions for a semilinear heat equation in the exterior domain of a compact set. Discrete & Continuous Dynamical Systems  A, 2012, 32 (3) : 847865. doi: 10.3934/dcds.2012.32.847 
[6] 
Moez Daoulatli. Energy decay rates for solutions of the wave equation with linear damping in exterior domain. Evolution Equations & Control Theory, 2016, 5 (1) : 3759. doi: 10.3934/eect.2016.5.37 
[7] 
Seiji Ukai. Timeperiodic solutions of the Boltzmann equation. Discrete & Continuous Dynamical Systems  A, 2006, 14 (3) : 579596. doi: 10.3934/dcds.2006.14.579 
[8] 
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, ChaoJiang Xu, Tong Yang. Bounded solutions of the Boltzmann equation in the whole space. Kinetic & Related Models, 2011, 4 (1) : 1740. doi: 10.3934/krm.2011.4.17 
[9] 
Marco Cannone, Grzegorz Karch. On selfsimilar solutions to the homogeneous Boltzmann equation. Kinetic & Related Models, 2013, 6 (4) : 801808. doi: 10.3934/krm.2013.6.801 
[10] 
Juhi Jang, Ning Jiang. Acoustic limit of the Boltzmann equation: Classical solutions. Discrete & Continuous Dynamical Systems  A, 2009, 25 (3) : 869882. doi: 10.3934/dcds.2009.25.869 
[11] 
Hongjun Yu. Global classical solutions to the Boltzmann equation with external force. Communications on Pure & Applied Analysis, 2009, 8 (5) : 16471668. doi: 10.3934/cpaa.2009.8.1647 
[12] 
Thomas Carty. Grossly determined solutions for a Boltzmannlike equation. Kinetic & Related Models, 2017, 10 (4) : 957976. doi: 10.3934/krm.2017038 
[13] 
Hao Tang, Zhengrong Liu. On the Cauchy problem for the Boltzmann equation in CheminLerner type spaces. Discrete & Continuous Dynamical Systems  A, 2016, 36 (4) : 22292256. doi: 10.3934/dcds.2016.36.2229 
[14] 
Houda Hani, Moez Khenissi. Asymptotic behaviors of solutions for finite difference analogue of the ChipotWeissler equation. Discrete & Continuous Dynamical Systems  S, 2016, 9 (5) : 14211445. doi: 10.3934/dcdss.2016057 
[15] 
Robert Stegliński. On homoclinic solutions for a second order difference equation with pLaplacian. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 487492. doi: 10.3934/dcdsb.2018033 
[16] 
Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete & Continuous Dynamical Systems  A, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
[17] 
Zejia Wang, Suzhen Xu, Huijuan Song. Stationary solutions of a free boundary problem modeling growth of angiogenesis tumor with inhibitor. Discrete & Continuous Dynamical Systems  B, 2018, 23 (6) : 25932605. doi: 10.3934/dcdsb.2018129 
[18] 
ByungHoon Hwang, SeokBae Yun. Stationary solutions to the boundary value problem for the relativistic BGK model in a slab. Kinetic & Related Models, 2019, 12 (4) : 749764. doi: 10.3934/krm.2019029 
[19] 
Mario Pulvirenti, Sergio Simonella, Anton Trushechkin. Microscopic solutions of the BoltzmannEnskog equation in the series representation. Kinetic & Related Models, 2018, 11 (4) : 911931. doi: 10.3934/krm.2018036 
[20] 
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai, ChaoJiang Xu, Tong Yang. Uniqueness of solutions for the noncutoff Boltzmann equation with soft potential. Kinetic & Related Models, 2011, 4 (4) : 919934. doi: 10.3934/krm.2011.4.919 
2018 Impact Factor: 0.925
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