Flows in Porous Media: The Variable Exponent Case

Part of the Lecture Notes in Mathematics book series (LNM, volume 1930)

Partial differential equations with nonlinearities involving variable exponents have attracted an increasing amount of attention in recent years. The development, mainly by Růžička [47], of a theory modeling the behavior of electrorheological fluids, an important class of non-Newtonian fluids, seems to have boosted a still far from completed effort to study and understand this type of equations. Other important applications relate to image processing [8], elasticity [56] or flows in porous media [2].


Porous Medium Weak Solution Time Level Variable Exponent Porous Medium Equation 
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© Springer-Verlag Berlin Heidelberg 2008

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