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Non-negative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity

Published 31 Oct 2011 in math.AP | (1110.6793v2)

Abstract: We prove global existence of nonnegative weak solutions for a strongly coupled, fourth order degenerate parabolic system governing the motion of two thin fluid layers in a porous medium when capillarity is the sole driving mechanism.

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