Zobrazeno 1 - 10
of 161
pro vyhledávání: '"Wenxian Shen"'
Autor:
Rachidi B. Salako, Wenxian Shen
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 53,, Pp 1-18 (2020)
This article concerns traveling wave solutions of the fully parabolic Keller-Segel chemotaxis system with logistic source, $$\displaylines{ u_t=\Delta u -\chi\nabla\cdot(u\nabla v)+u(a-bu),\quad x\in\mathbb{R}^N,\cr \tau v_t=\Delta v-\lambda v +\m
Externí odkaz:
https://doaj.org/article/7653bdecb20f443980c261b6731b7b11
Publikováno v:
Journal of Advanced Dielectrics, Vol 10, Iss 6, Pp 2050028-1-2050028-10 (2020)
The analytical solution is reported for one-dimensional (1D) dynamic conduction heat transfer within a multilayer system that is the typical structure of electrocaloric devices. Here, the multilayer structure of typical electrocaloric devices is simp
Externí odkaz:
https://doaj.org/article/a5500dfec0414ae8b48b5d2dbc12905a
Publikováno v:
Science China Mathematics. 65:1875-1894
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::437731b7e3c2caed52e6b54af4b98a1f
https://doi.org/10.1007/s11425-021-1938-2
https://doi.org/10.1007/s11425-021-1938-2
Autor:
Maria Amarakristi Onyido, Wenxian Shen
Publikováno v:
Journal of Differential Equations. 300:513-518
This note is to fix some gaps in the proofs of some of the results in our paper [M.A. Onyido, W. Shen, J. Differ. Equ. 295 (2021) 1–38].
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4c97735bc1b6c489eb5d51e14ab1cb7
https://doi.org/10.1016/j.jde.2021.07.040
https://doi.org/10.1016/j.jde.2021.07.040
Autor:
Halil Ibrahim Kurt, Wenxian Shen
This paper is concerned with the following parabolic-parabolic-elliptic chemotaxis system with singular sensitivity and Lotka-Volterra competitive kinetics,$$ \begin{cases} u_t=\Delta u-\chi_1\nabla\cdot (\frac{u}{w}\nabla w)+u(a_1-b_1u-c_1v),\quad &
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c824e115f928ce8adc14c8b237bfe2c7
http://arxiv.org/abs/2212.09838
http://arxiv.org/abs/2212.09838
TRAVELING WAVE SOLUTIONS FOR FULLY PARABOLIC KELLER-SEGEL CHEMOTAXIS SYSTEMS WITH A LOGISTIC SOURCE.
Autor:
SALAKO, RACHIDI B.1 salako.7@osu.edu, WENXIAN SHEN2 wenxish@auburn.edu
Publikováno v:
Electronic Journal of Differential Equations. 2020, Issue 41-54, p1-18. 18p.
Autor:
Wenxian Shen, Shuwen Xue
Publikováno v:
Journal of Dynamics and Differential Equations. 34:3057-3088
The current paper is concerned with the forced waves of Keller–Segel chemoattraction systems in shifting environments of the form, 0.1 $$\begin{aligned} {\left\{ \begin{array}{ll} u_t=u_{xx}-\chi (uv_x)_x +u(r(x-ct)-bu),\quad x\in \mathbb {R}\\ 0=v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09d7f7a399b28e33a86337cb2e09f91a
https://doi.org/10.1007/s10884-020-09924-6
https://doi.org/10.1007/s10884-020-09924-6
Autor:
Wenxian Shen, Halil Ibrahim Kurt
Publikováno v:
SIAM Journal on Mathematical Analysis. 53:973-1003
In recent years, it has been drawn a lot of attention to the question of whether logistic kinetics is sufficient to enforce the global existence of classical solutions or to prevent finite-time blow-up in various chemotaxis models. However, for sever
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87dd26379e288f2cc32d2d328867b934
https://doi.org/10.1137/20m1356609
https://doi.org/10.1137/20m1356609
Autor:
Rachidi B. Salako, Wenxian Shen
Publikováno v:
Journal of Dynamics and Differential Equations. 34:209-238
The current work is the third of a series of three papers devoted to the study of asymptotic dynamics in the following parabolic–elliptic chemotaxis system with space and time dependent logistic source, 0.1 $$\begin{aligned} {\left\{ \begin{array}{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c9399a0a4c4444df16bf1d5db18c491
https://doi.org/10.1007/s10884-020-09901-z
https://doi.org/10.1007/s10884-020-09901-z
Autor:
Wenxian Shen, Lianzhang Bao
Publikováno v:
Journal of Differential Equations. 269:3551-3584
The current series of research papers is to investigate the asymptotic dynamics in logistic type chemotaxis models in one space dimension with a free boundary or unbounded boundary. Such a model with a free boundary describes the spreading of a new o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6268ea007ab4e70ef70ed42ba95f7fd0
https://doi.org/10.1016/j.jde.2020.03.004
https://doi.org/10.1016/j.jde.2020.03.004