Nonnegative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity

Details Nonnegative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity Nonnegative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity

2011-10-31

arxiv.org/abs/1110.6793v1

Mathematics

Analysis of PDEs

Proc. Roy. Soc. Edinburgh Sect. A (2011)

Scientific paper

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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