Results 71 to 80 of about 2,477 (140)

Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data

, 2015
A simple proof of the existence of solutions for the two-dimensional Keller-Segel model with measures with all the atoms less than $8\pi$ as the initial data is given.
Biler, Piotr, Zienkiewicz, Jacek
core   +1 more source

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

, 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   +1 more source

The quasilinear parabolic kirchhoff equation

Open Mathematics, 2017
In this paper the existence of solution of a quasilinear generalized Kirchhoff equation with initial – boundary conditions of Dirichlet type will be studied using the Leray – Schauder principle.
Dawidowski Łukasz
doaj   +1 more source

Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials

, 2002
This article studies the mean curvature flow of Lagrangian submanifolds. In particular, we prove the following global existence and convergence theorem: if the potential function of a Lagrangian graph in T^{2n} is convex, then the flow exists for all ...
Smoczyk, Knut, Wang, Mu-Tao
core   +1 more source

A FINITE ELEMENT SCHEME FOR THE EVOLUTION OF ORIENTATIONAL ORDER IN FLUID MEMBRANES

, 2010
We investigate the evolution of an almost flat membrane driven by competition of the homogeneous, Frank, and bending energies as well as the coupling of the local order of the constituent molecules of the membrane to its curvature.
S. Bartels, G. Dolzmann, R. Nochetto
semanticscholar   +1 more source

Existence and nonexistence of global solutions of degenerate and singular parabolic systems

, 2000
Abstract and Applied Analysis, Volume 5, Issue 4, Page 265-284, 2000.
Gabriella Caristi
wiley   +1 more source

Large Time Behavior of Solutions to the Nonlinear Heat Equation with Absorption with Highly Singular Antisymmetric Initial Values

Advanced Nonlinear Studies, 2020
In this paper, we study global well-posedness and long-time asymptotic behavior of solutions to the nonlinear heat equation with absorption, ut-Δ⁢u+|u|α⁢u=0{u_{t}-\Delta u+\lvert u\rvert^{\alpha}u=0}, where u=u⁢(t,x)∈ℝ{u=u(t,x)\in\mathbb{R}}, (t,x)∈(0,∞)×
Mouajria Hattab, Tayachi Slim, Weissler Fred B.   +2 more
doaj   +1 more source

QUENCHING FOR A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX

, 2016
In this paper, we study the quenching behavior of solution of a semilinear heat equation with a singular boundary outflux. We first get a local existence result for this problem.
Burhan Selçuk, N. Ozalp
semanticscholar   +1 more source

Global Existence and Asymptotic Behavior of Solutions to a Chemotaxis-Fluid System on General Bounded Domain [PDF]

, 2014
In this paper, we investigate an initial-boundary value problem for a chemotaxis-fluid system in a general bounded regular domain $\Omega \subset \mathbb{R}^N$ ($N\in\{2,3\}$), not necessarily being convex.
Jiang, Jie, Wu, Hao, Zheng, Songmu
core  

A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions

Advances in Nonlinear Analysis, 2015
A boundary control problem for the pure Cahn–Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved.
Colli Pierluigi, Gilardi Gianni, Sprekels Jürgen   +2 more
doaj   +1 more source