Results 11 to 20 of about 1,990 (139)

Anisotropic 𝑝-Laplacian Evolution of Fast Diffusion Type

Advanced Nonlinear Studies, 2021
We study an anisotropic, possibly non-homogeneous version of the evolution 𝑝-Laplacian equation when fast diffusion holds in all directions. We develop the basic theory and prove symmetrization results from which we derive sharp L1L^{1}-L∞L^{\infty ...
Feo Filomena, Vázquez Juan Luis, Volzone Bruno   +2 more
doaj   +1 more source

Double-phase parabolic equations with variable growth and nonlinear sources

Advances in Nonlinear Analysis, 2022
We study the homogeneous Dirichlet problem for the parabolic equations ut−div(A(z,∣∇u∣)∇u)=F(z,u,∇u),z=(x,t)∈Ω×(0,T),{u}_{t}-{\rm{div}}\left({\mathcal{A}}\left(z,| \nabla u| )\nabla u)=F\left(z,u,\nabla u),\hspace{1.0em}z=\left(x,t)\in \Omega \times ...
Arora Rakesh, Shmarev Sergey
doaj   +1 more source

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Advanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
doaj   +1 more source

Theoretical and numerical analysis of a degenerate nonlinear cubic Schrödinger equation

Moroccan Journal of Pure and Applied Analysis, 2022
In this paper, we are interested in some theoretical and numerical studies of a special case of a degenerate nonlinear Schrödinger equation namely the so-called Gross-Pitaevskii Equation(GPE).
Alahyane Mohamed, Chrifi Abderrazak, Echarroudi Younes   +2 more
doaj   +1 more source

On the relativistic heat equation in one space dimension

Proceedings of the London Mathematical Society, Volume 107, Issue 6, Page 1395-1423, December 2013., 2013
We study the relativistic heat equation in one space dimension. We prove a local regularity result when the initial datum is locally Lipschitz in its support. We propose a numerical scheme that captures the known features of the solutions and allows for analysing further properties of their qualitative behaviour.
J. A. Carrillo, V. Caselles, S. Moll
wiley   +1 more source

Extinction and decay estimates of solutions for a p-Laplacian evolution equation with nonlinear gradient source and absorption

Boundary Value Problems, 2014
We investigate the extinction properties of non-negative nontrivial weak solutions of the initial-boundary value problem for a p-Laplacian evolution equation with nonlinear gradient source and absorption terms.MSC:35K65, 35B33, 35B40.
Xianghui Xu, Z. Fang
semanticscholar   +2 more sources

Finite and infinite speed of propagation for porous medium equations with fractional pressure [PDF]

, 2013
We study a porous medium equation with fractional potential pressure: $$ \partial_t u= \nabla \cdot (u^{m-1} \nabla p), \quad p=(-\Delta)^{-s}u, $$ for $m>1 ...
del Teso, Félix, Stan, Diana, Vázquez, Juan Luis   +2 more
core   +4 more sources

Modeling and Simulation of a Bacterial Biofilm That Is Controlled by pH and Protonated Lactic Acids

Computational and Mathematical Methods in Medicine, Volume 9, Issue 1, Page 47-67, 2008., 2008
We present a mathematical model for growth and control of facultative anaerobic bacterial biofilms in nutrient rich environments. The growth of the microbial population is limited by protonated lactic acids and the local pH value, which in return are altered as the microbial population changes.
Hassan Khassehkhan, Hermann J. Eberl
wiley   +1 more source

On a non-local curve evolution problem in the plane

, 2008
This paper deals with a new curvature flow for closed convex plane curves which shortens the length of the evolving curve but expands the area it bounds and makes the evolving curve more and more circular during the evolution process. And the final shape
Lishang Jiang, Shengliang Pan
semanticscholar   +1 more source

Identification of a Diffusion Coefficient in Degenerate/Singular Parabolic Equations from Final Observation by Hybrid Method

Open Journal of Mathematical Analysis, 2018
This paper deals with the determination of a coefficient in the diffusion term of some degenerate /singular one-dimensional linear parabolic equation from final data observations. The mathematical model leads to a non convex minimization problem.
K. Atifi, E. Essoufi, Hamed Ould Sidi
semanticscholar   +1 more source