Droplet Spreading Under Weak Slippage—Existence for the Cauchy Problem

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Lubrication theory (76D08) Degenerate parabolic equations (35K65) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial value problems for higher-order parabolic equations (35K30)

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