Uniqueness of bounded solutions to a viscous diffusion equation.
Zejia, Wang, Jingxue, Yin (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zejia, Wang, Jingxue, Yin (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Mujaković, Nermina (2008)
Boundary Value Problems [electronic only]
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Bouziani, Abdelfatah (2002)
International Journal of Mathematics and Mathematical Sciences
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Alkis S Tersenov (2004)
Annales de l'I.H.P. Analyse non linéaire
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Boucherif, Abdelkader (2011)
Advances in Difference Equations [electronic only]
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Ádám Besenyei (2010)
Mathematica Bohemica
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Two models of reaction-diffusion are presented: a non-Fickian diffusion model described by a system of a parabolic PDE and a first order ODE, further, porosity-mineralogy changes in porous medium which is modelled by a system consisting of an ODE, a parabolic and an elliptic equation. Existence of weak solutions is shown by the Schauder fixed point theorem combined with the theory of monotone type operators.
Jiaqing Pan (2011)
Open Mathematics
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In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.