Saddle-shaped solutions of bistable diffusion equations in all of ℝ2m
Xavier Cabré, Joana Terra (2009)
Journal of the European Mathematical Society
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Displaying similar documents to “Diffusion of Zinc in Doped NaCl Crystals”
Saddle-shaped solutions of bistable diffusion equations in all of ℝ2m
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Fast optical tracking of diffusion in time-dependent environment of brain extracellular space
Hrabě, Jan
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An improved version of the Integrative Optical Imaging (IOI) method for diffusion measurements in a geometrically complex environment of the brain extracellular space has been developed. We present a theory for this Fast Optical Tracking Of Diffusion (FOTOD) which incorporates a time-dependent effective diffusion coefficient in homogeneous anisotropic media with time-dependent nonspecific linear clearance. FOTOD can be used to measure rapid changes in extracellular diffusion permeability...
Solution of time-dependent convection-diffusion equations with the aid of higher order adaptive methods with respect to space and time
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A solution of nonlinear diffusion problems by semilinear reaction-diffusion systems
Hideki Murakawa (2009)
Kybernetika
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This paper deals with nonlinear diffusion problems involving degenerate parabolic problems, such as the Stefan problem and the porous medium equation, and cross-diffusion systems in population ecology. The degeneracy of the diffusion and the effect of cross-diffusion, that is, nonlinearities of the diffusion, complicate its analysis. In order to avoid the nonlinearities, we propose a reaction-diffusion system with solutions that approximate those of the nonlinear diffusion problems....