Results 141 to 150 of about 469,036 (195)

Reaction-diffusion equations in immunology

Журнал вычислительной математики и математической физики, 2018
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Bocharov G.A.   +2 more
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Topological techniques in reaction-diffusion equations

Advances in Applied Probability, 1980
In this note, we shall illustrate how some topological ideas can be used to obtain rather precise information about solutions of reaction-diffusion equations. The equations are of the form $$ {{\text{u}}_t} = {u_{{xx}}} + {\text{f}}(u), - {\text{L}} < x < {\text{L}} $$ (1) in a single space variable, with either homogeneous Dirichlet or ...
Charles Conley, Joel Smoller
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SPIRALS IN SCALAR REACTION–DIFFUSION EQUATIONS

International Journal of Bifurcation and Chaos, 1995
Spiral patterns have been observed experimentally, numerically, and theoretically in a variety of systems. It is often believed that these spiral wave patterns can occur only in systems of reaction–diffusion equations. We show, both theoretically (using Hopf bifurcation techniques) and numerically (using both direct simulation and continuation of ...
Dellnitz, Michael   +3 more
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Reaction–diffusion equation based image restoration

Applied Mathematics and Computation, 2018
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Zhao, Xueqing   +6 more
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ON REACTION-DIFFUSION EQUATION WITH ABSORPTION

Acta Mathematica Scientia, 1993
Summary: We consider the dead core and some asymptotic behaviors of solutions to the initial boundary value problems of the equation \(u_ t= \Delta u- \lambda u^ p e^ u\), where \(\lambda>0 ...
Wang, Liwen, Chen, Qingyi
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Reaction-Diffusion Equations

1990
Abstract Reaction-diffusion equations form a class of differential equations which in recent years have seen great steps forward both in the understanding of their analytical structure and in their application to a wide variety of scientific phenomena.
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