
Previous Article
A Boltzmanntype model for market economy and its continuous trading limit
 KRM Home
 This Issue
 Next Article
On halfspace problems for the weakly nonlinear discrete Boltzmann equation
1.  Department of Mathematics, Karlstad University, 651 88 Karlstad, Sweden 
[1] 
Alexander Bobylev, Mirela Vinerean, Åsa Windfäll. Discrete velocity models of the Boltzmann equation and conservation laws. Kinetic & Related Models, 2010, 3 (1) : 3558. doi: 10.3934/krm.2010.3.35 
[2] 
Chérif Amrouche, Yves Raudin. Singular boundary conditions and regularity for the biharmonic problem in the halfspace. Communications on Pure & Applied Analysis, 2007, 6 (4) : 957982. doi: 10.3934/cpaa.2007.6.957 
[3] 
Niclas Bernhoff. Boundary layers and shock profiles for the discrete Boltzmann equation for mixtures. Kinetic & Related Models, 2012, 5 (1) : 119. doi: 10.3934/krm.2012.5.1 
[4] 
Nicola Abatangelo, Serena Dipierro, Mouhamed Moustapha Fall, Sven Jarohs, Alberto Saldaña. Positive powers of the Laplacian in the halfspace under Dirichlet boundary conditions. Discrete & Continuous Dynamical Systems  A, 2019, 39 (3) : 12051235. doi: 10.3934/dcds.2019052 
[5] 
Davide Bellandi. On the initial value problem for a class of discrete velocity models. Mathematical Biosciences & Engineering, 2017, 14 (1) : 3143. doi: 10.3934/mbe.2017003 
[6] 
Vasily Denisov and Andrey Muravnik. On asymptotic behavior of solutions of the Dirichlet problem in halfspace for linear and quasilinear elliptic equations. Electronic Research Announcements, 2003, 9: 8893. 
[7] 
Zhiming Chen, Shaofeng Fang, Guanghui Huang. A direct imaging method for the halfspace inverse scattering problem with phaseless data. Inverse Problems & Imaging, 2017, 11 (5) : 901916. doi: 10.3934/ipi.2017042 
[8] 
Yanqin Fang, Jihui Zhang. Nonexistence of positive solution for an integral equation on a HalfSpace $R_+^n$. Communications on Pure & Applied Analysis, 2013, 12 (2) : 663678. doi: 10.3934/cpaa.2013.12.663 
[9] 
Weiwei Zhao, Jinge Yang, Sining Zheng. Liouville type theorem to an integral system in the halfspace. Communications on Pure & Applied Analysis, 2014, 13 (2) : 511525. doi: 10.3934/cpaa.2014.13.511 
[10] 
Chérif Amrouche, Huy Hoang Nguyen. Elliptic problems with $L^1$data in the halfspace. Discrete & Continuous Dynamical Systems  S, 2012, 5 (3) : 369397. doi: 10.3934/dcdss.2012.5.369 
[11] 
Gershon Kresin, Vladimir Maz’ya. Optimal estimates for the gradient of harmonic functions in the multidimensional halfspace. Discrete & Continuous Dynamical Systems  A, 2010, 28 (2) : 425440. doi: 10.3934/dcds.2010.28.425 
[12] 
Diego D. Felix, Marcelo F. Furtado, Everaldo S. Medeiros. Semilinear elliptic problems involving exponential critical growth in the halfspace. Communications on Pure & Applied Analysis, 2020, 19 (10) : 49374953. doi: 10.3934/cpaa.2020219 
[13] 
Niclas Bernhoff. Boundary layers for discrete kinetic models: Multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations. Kinetic & Related Models, 2017, 10 (4) : 925955. doi: 10.3934/krm.2017037 
[14] 
Marco A. Fontelos, Lucía B. Gamboa. On the structure of double layers in PoissonBoltzmann equation. Discrete & Continuous Dynamical Systems  B, 2012, 17 (6) : 19391967. doi: 10.3934/dcdsb.2012.17.1939 
[15] 
SeungYeal Ha, Mitsuru Yamazaki. $L^p$stability estimates for the spatially inhomogeneous discrete velocity Boltzmann model. Discrete & Continuous Dynamical Systems  B, 2009, 11 (2) : 353364. doi: 10.3934/dcdsb.2009.11.353 
[16] 
TaiPing Liu, ShihHsien Yu. Boltzmann equation, boundary effects. Discrete & Continuous Dynamical Systems  A, 2009, 24 (1) : 145157. doi: 10.3934/dcds.2009.24.145 
[17] 
Hui Yin, Huijiang Zhao. Nonlinear stability of boundary layer solutions for generalized BenjaminBonaMahonyBurgers equation in the half space. Kinetic & Related Models, 2009, 2 (3) : 521550. doi: 10.3934/krm.2009.2.521 
[18] 
Laurent Gosse. Wellbalanced schemes using elementary solutions for linear models of the Boltzmann equation in one space dimension. Kinetic & Related Models, 2012, 5 (2) : 283323. doi: 10.3934/krm.2012.5.283 
[19] 
Linglong Du. Characteristic half space problem for the Broadwell model. Networks & Heterogeneous Media, 2014, 9 (1) : 97110. doi: 10.3934/nhm.2014.9.97 
[20] 
Michael Herty, Lorenzo Pareschi, Mohammed Seaïd. Enskoglike discrete velocity models for vehicular traffic flow. Networks & Heterogeneous Media, 2007, 2 (3) : 481496. doi: 10.3934/nhm.2007.2.481 
2019 Impact Factor: 1.311
Tools
Metrics
Other articles
by authors
[Back to Top]