Zobrazeno 1 - 10
of 90
pro vyhledávání: '"Zhaoyin Xiang"'
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
We investigate a nonlocal reaction diffusion equation with absorption under Neumann boundary. We obtain optimal conditions on the exponents of the reaction and absorption terms for the existence of solutions blowing up in finite time, or for the glob
Externí odkaz:
https://doaj.org/article/0eed4e8f318c4bc6b337f460e6b6557f
Autor:
Zhaoyin Xiang, Wei Yan
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We establish the local well-posedness and obtain a blow-up criterion of smooth solutions for the Boussinesq equations in the framework of Triebel-Lizorkin-Lorentz spaces. The main ingredients of our proofs are Littlewood-Paley decomposition and the p
Externí odkaz:
https://doaj.org/article/ddd665f681414959ae0d5b816da2da8e
Autor:
Zhaoyin Xiang, Yulan Wang
Publikováno v:
Boundary Value Problems, Vol 2009 (2009)
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal bound
Externí odkaz:
https://doaj.org/article/7f4b52c3551047eb827e07858a1c5a6d
Publikováno v:
Boundary Value Problems, Vol 2007 (2007)
This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x,t)=∫Ωf(x,y)u(y,t)dy on ∂Ω×(0,T). The conditions on the existence and nonexistence of g
Externí odkaz:
https://doaj.org/article/c9b8654075164ee9be21320bbce9e55b
Autor:
Yu Tian, Zhaoyin Xiang
Publikováno v:
Advances in Nonlinear Analysis. 12:23-53
In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δ n m \Delta {n}^{m} for m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b07b2e3a2ffb073b6a3b576d87ec37d2
https://doi.org/10.1515/anona-2022-0228
https://doi.org/10.1515/anona-2022-0228
Autor:
Chunyan Wu, Zhaoyin Xiang
Publikováno v:
Journal of Differential Equations. 315:122-158
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19fd9557f6da885269b90f69b65a37fe
https://doi.org/10.1016/j.jde.2022.01.033
https://doi.org/10.1016/j.jde.2022.01.033
Publikováno v:
European Journal of Applied Mathematics. 34:160-209
This paper investigates the stability of a fully parabolic–parabolic-fluid (PP-fluid) system of the Keller–Segel–Navier–Stokes type in a bounded planar domain under the natural volume-filling hypothesis. In the limit of fast signal diffusion,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4ecc33fb75dfb9ff921d28601341f30
https://doi.org/10.1017/s0956792522000067
https://doi.org/10.1017/s0956792522000067
Publikováno v:
Analysis and Applications. 20:141-170
The chemotaxis-Stokes system [Formula: see text] is considered subject to the boundary condition [Formula: see text] with [Formula: see text] and a given nonnegative function [Formula: see text]. In contrast to the well-studied case when the second r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23e74040e69e5fa04acab89c14502519
https://doi.org/10.1142/s0219530521500275
https://doi.org/10.1142/s0219530521500275
Publikováno v:
Communications in Partial Differential Equations. 46:1058-1091
The chemotaxis-Stokes system{nt+u·∇n=Δn−∇·(n∇c),ct+u·∇c=Δc−nc,ut=Δu+∇P+n∇ϕ, ∇·u=0, (⋆)is considered in a bounded domain Ω⊂R3 with smooth boundary. The corresponding solution theory is quite wel...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f661d5cd248b22358d598c262628a5f
https://doi.org/10.1080/03605302.2020.1870236
https://doi.org/10.1080/03605302.2020.1870236