Results 11 to 20 of about 976 (113)

Convergence rate for the incompressible limit of nonlinear diffusion–advection equations [PDF]

Annales de l'Institut Henri Poincare. Analyse non linéar, 2021
The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link the weak formulation of cell-population models to free boundary problems of Hele-Shaw type ...
Noemi David, Tomasz Dkebiec, B. Perthame
semanticscholar   +1 more source

On the (p,h)-convex function and some integral inequalities

Journal of Inequalities and Applications, 2014
In this paper, we introduce a new class of (p,h)-convex functions which generalize P-functions and convex, h,p,s-convex, Godunova-Levin functions, and we give some properties of the functions.
Z. Fang, Renjie Shi
semanticscholar   +2 more sources

Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)

Boundary Value Problems, 2014
This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in RN for N≥3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the ...
G. Tang, Yuanfei Li, Xitao Yang
semanticscholar   +2 more sources

Approximate Controllability of the System Governed by Double Coupled Semilinear Degenerate Parabolic Equations

, 2020
This paper concerns the approximate controllability of the initialboundary problem of double coupled semilinear degenerate parabolic equations. The equations are degenerate at the boundary, and the control function acts in the interior of the spacial ...
Chunpeng Wang
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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

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

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

A free boundary problem describing the saturated‐unsaturated flow in a porous medium

Abstract and Applied Analysis, Volume 2004, Issue 9, Page 729-755, 2004., 2004
This paper presents a functional approach to a nonlinear model describing the complete physical process of water infiltration into an unsaturated soil, including the saturation occurrence and the advance of the wetting front. The model introduced in this paper involves a multivalued operator covering the simultaneous saturated and unsaturated flow ...
Gabriela Marinoschi
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