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math.AP2020
A review on rigorous derivation of reduced models for fluid-structure interaction systems
Mario Bukal, Boris Muha
In this paper we review and systematize the mathematical theory on justification of sixth-order thin-film equations as reduced models for various fluid-structure interaction system…
math.AP2020
Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance
Mario Bukal
In this paper we construct a unique global in time weak nonnegative solution to the corrected Derrida-Lebowitz-Speer-Spohn equation, which statistically describes the interface flu…