For initial free boundaries small in H^s with s > d/2 + 1, the one-phase Muskat problem with surface tension has a unique global strong solution that converges to the flat state in Lipschitz norm.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes local strong solutions and conditional global solutions for 3D inhomogeneous NS with data in C¹ × (L² ∩ VMO^{-1}) using density transport regularity and a new freezing-coefficient approach for momentum.
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Global well-posedness of the one-phase Muskat problem with surface tension
For initial free boundaries small in H^s with s > d/2 + 1, the one-phase Muskat problem with surface tension has a unique global strong solution that converges to the flat state in Lipschitz norm.
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Solutions of the 3D inhomogeneous incompressible Navier-Stokes system with initial velocity in $VMO^{-1}$
Establishes local strong solutions and conditional global solutions for 3D inhomogeneous NS with data in C¹ × (L² ∩ VMO^{-1}) using density transport regularity and a new freezing-coefficient approach for momentum.