Results 91 to 100 of about 155 (123)

Global well-posedness and uniform boundedness of 2D urban crime models with nonlinear advection enhancement

European Journal of Applied Mathematics
We study the global well-posedness and uniform boundedness of a two-dimensional reaction–advection–diffusion system with nonlinear advection. This strongly coupled system of nonlinear partial differential equations represents the continuum of a 2D ...
Wenjing Jiang, Qi Wang
doaj   +1 more source

Blow-up for an evolution p-laplace system with nonlocal sources and inner absorptions

, 2011
This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Zheng Pan, Zhang Yan, Liu Dengming, Mu Chunlai   +3 more
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Generalizations and error analysis of the iterative operator splitting method

Open Mathematics, 2013
Ladics Tamás, Faragó István
doaj   +1 more source

Boundary Layers in a Semilinear Parabolic Problem

, 2007
We study a singular perturbation problem for a certain type of reaction diffusion equation with a space-dependent reaction term. We compare the effect that the presence of boundary layers versus internal layers has on the existence and stability of ...
Domingo Salazar, Jack K. Hale
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Reduction for Michaelis-Menten-Henri kinetics in the presence of diffusion.

, 2007
:The Michaelis-Menten-Henri (MMH) mechanism is one of the paradigm reaction mechanisms in biology and chemistry. In its simplest form, it involves a substrate that reacts (reversibly) with an enzyme, forming a complex which is transformed (irreversibly ...
Popovic, N., Kalachev, L.V., Kaper, H.G., Kaper, T.J., Zagaris, A.   +4 more
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Equations d'évolution non locales et problèmes de transition de phase

, 2013
The aim of this thesis is to study the large time behavior of solutions of nonlocal evolution equations and to also study the singular limit of equations and systems of parabolic partial differential equations involving a small parameter epsilon.
Nguyen, Thanh Nam
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On the Dissolution-Growth Process of a Grain: Large Time Behavior and Special Solutions.

, 2007
: We study here the large time behavior of the radius R(t) of a spherical grain in a dilute solution of the same substance. The evolution in time of the grain is governed by a reaction-diffusion process in the liquid phase and by a dissolution/accretion ...
Fran Coise, Thomas I. Seidman
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Bifurcation to Spiral Waves in Reaction-Diffusion Systems

For a large class of reaction-diffusion systems on the plane, we show rigorously that typically m-armed spiral waves bifurcate from a homogeneous equilibrium when the latter undergoes a Hopf bifurcation.
Arnd Scheel
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Large Time Behavior of Solutions of a Fast Diffusion Equation with Source

, 2007
We study the large time behavior of solutions of the Cauchy problem for a fast diffusion equation with a singular powerlike source. It is shown that the large time behavior is described by the similarity solution of related problem.
Jong-shenq Guo
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Essential Instability of Pulses, and Bifurcations to Modulated Travelling Waves

Reaction-diffusion systems on the real line are considered. Localized travelling waves become unstable when the essential spectrum of the linearization about them crosses the imaginary axis.
Björn Sandstede, Arnd Scheel
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