Results 61 to 70 of about 121 (93)

The nonlinear diffusion equation of the ideal barotropic gas through a porous medium

Open Mathematics, 2017
The nonlinear diffusion equation of the ideal barotropic gas through a porous medium is considered. If the diffusion coefficient is degenerate on the boundary, then the solutions may be controlled by the initial value completely, the well-posedness of ...
Zhan Huashui
doaj   +1 more source

Higher integrability for doubly nonlinear parabolic systems. [PDF]

SN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

The Microscopic Derivation and Well-Posedness of the Stochastic Keller-Segel Equation. [PDF]

J Nonlinear Sci, 2021
Huang H, Qiu J.
europepmc   +1 more source

Higher-order anisotropic models in phase separation

Advances in Nonlinear Analysis, 2017
Our aim in this paper is to study higher-order (in space) Allen–Cahn and Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor.
Cherfils Laurence, Miranville Alain, Peng Shuiran   +2 more
doaj   +1 more source

Age-Structured Population Dynamics with Nonlocal Diffusion. [PDF]

J Dyn Differ Equ, 2022
Kang H, Ruan S, Yu X.
europepmc   +1 more source

Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
doaj   +1 more source

An order approach to SPDEs with antimonotone terms. [PDF]

Stoch Partial Differ Equ, 2020
Scarpa L, Stefanelli U.
europepmc   +1 more source

Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment. [PDF]

J Math Biol, 2021
Kumar P, Li J, Surulescu C.
europepmc   +1 more source

Homogenization of Smoluchowski-type equations with transmission boundary conditions

Advanced Nonlinear Studies
In this work, we prove a two-scale homogenization result for a set of diffusion-coagulation Smoluchowski-type equations with transmission boundary conditions.
Franchi Bruno, Lorenzani Silvia
doaj   +1 more source

Optimal global second-order regularity and improved integrability for parabolic equations with variable growth

Advances in Nonlinear Analysis
We consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source