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Finite-time turnover conjecture for a Muskat solution with initial amplitude 50
Let $f(x,t)$ be a solution of the Muskat interface graph equation … and suppose that its initial profile satisfies $\|f(\cdot,0)\|_{L^{\infty}}=50$ . Finite-time turnover conjecture…
Conjectureopenfluid-dynamics free-boundary-problems muskat-problemarXiv posted 2 days ago
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Surface-tension analogue of the Muskat Rayleigh–Taylor breakdown theorem
The Muskat problem describes the evolution of an interface between fluids, and Theorem 1.1 gives a result for the problem without surface tension. Surface-tension analogue conjectu…
Conjectureopenfree-boundary-problems muskat-problem surface-tensionarXiv posted 2 days ago

Finite-time turnover conjecture for a Muskat solution with initial amplitude 50