Zobrazeno 1 - 10
of 160
pro vyhledávání: '"Zhang, Zhengce"'
Autor:
Liang, Wenguo, Zhang, Zhengce
This paper is concerned with the local and global properties of nonnegative solutions for semilinear heat equation $u_t-\Delta u=u^p+M|\nabla u|^q$ in $\Omega\times I\subset \R^N\times \R$, where $M>0$, and $p,q>1$. We first establish the local point
Externí odkaz:
http://arxiv.org/abs/2408.02893
We justify rigorously the non-equilibrium-diffusion limit of the compressible Euler model coupled with a radiative transfer equation arising in radiation hydrodynamics. For general initial data, we establish the uniform existence of the solution to t
Externí odkaz:
http://arxiv.org/abs/2312.15208
Autor:
Hu, Wentao, Zhang, Zhengce
In this paper, we study the Liouville--type theorems for three--dimensional stationary incompressible MHD and Hall--MHD systems in a slab with periodic boundary condition. We show that, under the assumptions that $(u^\theta,b^\theta)$ or $(u^r,b^r)$
Externí odkaz:
http://arxiv.org/abs/2212.05809
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena January 2024 178
This paper is concerned with two properties of positive weak solutions of quasilinear elliptic equations with nonlinear gradient terms. First, we show a Liouville-type theorem for positive weak solutions of the equation involving the $m$-Laplacian op
Externí odkaz:
http://arxiv.org/abs/2008.07211
In this paper, we study a free boundary problem modeling solid tumor growth with vasculature which supplies nutrients to the tumor; this is characterized in the Robin boundary condition. It was recently established [Discrete Cont. Dyn. Syst. 39 (2019
Externí odkaz:
http://arxiv.org/abs/2007.07030
Autor:
Hu, Wentao, Zhang, Zhengce
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2023 528(2)
Publikováno v:
In Journal of Differential Equations 25 August 2023 365:235-273
Publikováno v:
In Journal of Differential Equations 25 June 2023 359:23-66
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2023 517(1)