Continuity with respect to data and parameters of weak solutions to a Stefan-like problem.
Muntean, A. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Muntean, A. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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M. Kirane (1993)
Applicationes Mathematicae
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This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.
Padrón, Víctor (1998)
Divulgaciones Matemáticas
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Padrón, Víctor (2007)
Revista Colombiana de Matemáticas
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Arrieta, Jose M., Moya, Nancy, Rodriguez-Bernal, Anibal
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Kordoš, M. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Jan Cholewa, Tomasz Dłotko (1996)
Banach Center Publications
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Global solutions of semilinear parabolic equations are studied in the case when some weak a priori estimate for solutions of the problem under consideration is already known. The focus is on the rapid growth of the nonlinear term for which existence of the semigroup and certain dynamic properties of the considered system can be justified. Examples including the famous Cahn-Hilliard equation are finally discussed.
Iacopo Borsi, Angiolo Farina, Antonio Fasano, Mario Primicerio (2008)
Applications of Mathematics
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We study the unsaturated flow of an incompressible liquid carrying a bacterial population through a porous medium contaminated with some pollutant. The biomass grows feeding on the pollutant and affecting at the same time all the physics of the flow. We formulate a mathematical model in a one-dimensional setting and we prove an existence theorem for it. The so-called fluid media scaling approach, often used in the literature, is discussed and its limitations are pointed out on the basis...