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20102026
most citedThe Muskat problem in 2D: equivalence of formulations, well-posedness, and regularity results

55 citations · 182 across the 40 of their papers we have counts for

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Showing 2018Show all

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math.AP2018

On the principle of linearized stability in interpolation spaces for quasilinear evolution equations

Bogdan-Vasile Matioc, Christoph Walker

We give a proof for the asymptotic exponential stability of equilibria of quasilinear parabolic evolution equations in admissible interpolation spaces.

math.AP2018

Well-posedness and stability results for some periodic Muskat problems

Bogdan-Vasile Matioc

We study the two-dimensional Muskat problem in a horizontally periodic setting and for fluids with arbitrary densities and viscosities. We show that in the presence of surface tens…