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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Aliziane, T., Langlais, M. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Huang, Sen-Zhong (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Peszynska, Malgorzata, Showalter, Ralph E. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Tomoeda, Kenji
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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.
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...