For the two-dimensional zero-surface-tension contact Muskat problem with acute contact angles, local classical solvability in weighted Hölder spaces and the waiting time phenomenon are established under stated assumptions.
Vasylyeva, On a local solvability of the multidimens ional Muskat problem with a fractional derivative in time on the boundary condition, Fract
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On a local solvability of the contact Muskat problem
For the two-dimensional zero-surface-tension contact Muskat problem with acute contact angles, local classical solvability in weighted Hölder spaces and the waiting time phenomenon are established under stated assumptions.