Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Kung-Chien Wu"'
Publikováno v:
Mathematische Annalen.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee5f89d5f0eae72ec92207180529d131
https://doi.org/10.1007/s00208-022-02513-6
https://doi.org/10.1007/s00208-022-02513-6
Autor:
Kung Chien Wu, Yu Chu Lin
Publikováno v:
Applicable Analysis. 101:6222-6236
A boundary value problem for the stationary Boltzmann equation with hard sphere in a half-space is considered for a binary mixture of gases, imposing slightly perturbed reflection boundary conditio...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bcc0b231a8bcca488830b80e2ed8e5f0
https://doi.org/10.1080/00036811.2021.1919648
https://doi.org/10.1080/00036811.2021.1919648
Publikováno v:
Journal of Differential Equations. 269:257-287
A stationary boundary-value problem for the Boltzmann equation in a half space is considered for a binary mixture of gases when the indata on the boundary are given for the both species. Under the assumption that one of the species is dominant and cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48507d9484e5330206cd4f3a2a812212
https://doi.org/10.1016/j.jde.2019.12.003
https://doi.org/10.1016/j.jde.2019.12.003
Publikováno v:
SIAM Journal on Mathematical Analysis. 52:5994-6032
In this paper, we deal with the relativistic Boltzmann equation in the whole space ${\mathbb{R}}_{x}^{3}$ under the closed to equilibrium setting. We obtain the existence, uniqueness, and large tim...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2c982e0af46f0bfc383fe213b79e954
https://doi.org/10.1137/20m1332761
https://doi.org/10.1137/20m1332761
Publikováno v:
Journal of Statistical Physics. 186
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b331d5b0efc7374c3fabab6378567c8
https://doi.org/10.1007/s10955-021-02850-x
https://doi.org/10.1007/s10955-021-02850-x
In this paper, we get the quantitative space-time behavior of the full Boltzmann equation with soft potentials ($-2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8803e1d404d05098877543e925df4079
Autor:
Kung-Chien Wu, Baoyan Sun
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 27:2537
This work deals with the Cauchy problem and the asymptotic behavior of the solution of the fermion equation in the Sobolev spaces with a polynomial weight in the torus. We first investigate the linearized equation and obtain the optimal exponential d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8572952ee5004a4ba4b3ac3b79d86fdd
https://doi.org/10.3934/dcdsb.2021147
https://doi.org/10.3934/dcdsb.2021147
Publikováno v:
Journal of Statistical Physics. 171:927-964
We study the quantitative pointwise behavior of the solutions of the linearized Boltzmann equation for hard potentials, Maxwellian molecules and soft potentials, with Grad’s angular cutoff assumption. More precisely, for solutions inside the finite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67132ef06039c1562bf7c7840512c55c
https://doi.org/10.1007/s10955-018-2047-4
https://doi.org/10.1007/s10955-018-2047-4
Autor:
Kung Chien Wu
Publikováno v:
Nonlinearity. 31:2173-2191
We study the nonlinear stability of the Boltzmann equation in the 1D periodic box with size , where is the Knudsen number. The convergence rate is for small time region and exponential for large time region. Moreover, the exponential rate depends on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e68d912f9a5e1cefc363d586fb3938b
https://doi.org/10.1088/1361-6544/aaaf46
https://doi.org/10.1088/1361-6544/aaaf46
Publikováno v:
Communications in Mathematical Sciences. 16:2261-2300
We study the Landau equation for a mixture of two species in the whole space, with initial condition of one species near a vacuum and the other near a Maxwellian equilibrium state. For the linearized level, without any smoothness assumption on the in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::feb4aef5354ab0cbebeab9ba95aaf379
https://doi.org/10.4310/cms.2018.v16.n8.a9
https://doi.org/10.4310/cms.2018.v16.n8.a9