Applications of nonlinear diffusion in image processing and computer vision.
Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Weickert, J. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Piotr Biler, Grzegorz Karch (2000)
Annales Polonici Mathematici
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We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.
Jochen Denzler, Robert J. McCann (2008)
Annales de l'I.H.P. Analyse non linéaire
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Diewald, U., Preusser, T., Rumpf, M., Strzodka, R. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Nathanaël Enriquez, Jacques Franchi, Yves Le Jan (2001)
Séminaire de probabilités de Strasbourg
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Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Ulrich Maas (1995)
Applications of Mathematics
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During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple...