## Hydrodynamic Limit with Geometric Correction of Stationary Boltzmann Equation

*Wu, Lei*;

- Subject: Mathematics - Analysis of PDEsarxiv: Physics::Fluid Dynamics

- References (11) 11 references, page 1 of 2
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pµ (~v) ~v·~n(φ)>0 2 ∂u 1

ǫ3 h~viϑ eζ|~v|2 1

√1+2n 1

[1] Sone, Yoshio; Kinetic theory and fluid dynamics. Modeling and Simulation in Science, Engineering and Technology. Birkhauser Boston, Inc., Boston, MA, 2002.

[2] Sone, Yoshio; Molecular gas dynamics. Theory, techniques, and applications. Modeling and Simulation in Science, Engineering and Technology. Birkhauser Boston, Inc., Boston, MA, 2007.

[3] Esposito, R.; Guo, Y.; Kim, C.; Marra, R.; Non-isothermal boundary in the Boltzmann theory and Fourier law. Comm. Math. Phys. 323 (2013), no. 1, 177-239.

[4] Arkeryd, Leif; Esposito, Raffaele; Marra, Rossana; Nouri, Anne; Ghost effect by curvature in planar Couette flow. Kinet. Relat. Models 4 (2011), no. 1, 109-138.

[5] Cercignani, Carlo; Marra, R.; Esposito, R.; The Milne problem with a force term. Transport Theory Statist. Phys. 27 (1998), no. 1, 1-33.

[6] Yang, Xiongfeng; Asymptotic behavior on the Milne problem with a force term. J. Differential Equations 252 (2012), no. 9, 4656-4678.

[7] Guo, Yan; Decay and continuity of the Boltzmann equation in bounded domains. Arch. Ration. Mech. Anal. 197 (2010), no. 3, 713-809.

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