Results 11 to 20 of about 34 (22)

The higher integrability of weak solutions of porous medium systems

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
Bögelein Verena   +3 more
doaj   +1 more source

A generalized Cahn–Hilliard equation incorporating geometrically linear elasticity

open access: yes, 2011
We consider a generalisation of the Cahn-Hilliard equation that incorporates an elastic energy density which, being quasiconvex, incorporates microstructure formation on smaller length scales.
T. Blesgen, I. Chenchiah
semanticscholar   +1 more source

System of degenerate parabolic p-Laplacian

open access: yesOpen Mathematics
In this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
doaj   +1 more source

On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism

open access: yesEuropean Journal of Applied Mathematics
In this paper, we consider reaction-diffusion epidemic models with mass action or standard incidence mechanism and study the impact of limiting population movement on disease transmissions.
Rachidi B. Salako, Yixiang Wu
doaj   +1 more source

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

open access: yesDemonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Higher integrability for doubly nonlinear parabolic systems. [PDF]

open access: yesSN Partial Differ Equ Appl, 2022
Bögelein V, Duzaar F, Scheven C.
europepmc   +1 more source

IMAGE-DRIVEN BIOPHYSICAL TUMOR GROWTH MODEL CALIBRATION. [PDF]

open access: yesSIAM J Sci Comput, 2020
Scheufele K   +4 more
europepmc   +1 more source

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