Non-negative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity
classification
🧮 math.AP
keywords
capillaritydegenerateglobalparabolicsolutionssystemthinweak
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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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