Gas-solid reaction with porosity change.
Stakgold, Ivar (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Comparison theorems for multicomponent diffusion systems: Developments since 1961.”
Gas-solid reaction with porosity change.
Diffusion and cross-diffusion in pattern formation
Wei-Ming Ni (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.
A method for treating a class of nonlinear diffusion problems
Stavros Busenberg, Mimmo Iannelli (1982)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Si presenta un metodo di soluzione di una classe di problemi di diffusione nonlineare che hanno origine dalla teoria delle popolazioni con struttura di età.
Spatial localization for a general reaction-diffusion system
Gonzalo Galiano, Mark Adriaan Peletier (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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A spatially inhomogeneous diffusion problem with strong absorption
Riccardo Ricci, Domingo A. Tarzia (2003)
Bollettino dell'Unione Matematica Italiana
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We study the asymptotic behaviour () of the solutions of a nonlinear diffusion problem with strong absorption. We prove convergence to the stationary solution in the by means of an appropriate family of sub and supersolutions. In appendix we prove the well posedness of the problem.
Global existence for degenerate quadratic reaction-diffusion systems
M. Pierre, R. Texier-Picard (2009)
Annales de l'I.H.P. Analyse non linéaire
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Coupling of transport and diffusion models in linear transport theory
Guillaume Bal, Yvon Maday (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper is concerned with the coupling of two models for the propagation of particles in scattering media. The first model is a linear transport equation of Boltzmann type posed in the phase space (position and velocity). It accurately describes the physics but is very expensive to solve. The second model is a diffusion equation posed in the physical space. It is only valid in areas of high scattering, weak absorption, and smooth physical coefficients, but its numerical solution is...