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math.AP2022
A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem
Kenneth H. Karlsen, Michael Kunzinger, Darko Mitrovic
We consider a dynamic capillarity equation with stochastic forcing on a compact Riemannian manifold . \begin{equation*}\tag{P} d \left(u_{\varepsilon,δ}-δΔ u_{\varepsilon,δ}…
math.AP2022
Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds
Melanie Graf, Michael Kunzinger, Darko Mitrovich
We prove existence of weak solutions to the Cauchy problem corresponding to various strictly parabolic equations on a compact Riemannian manifold . This also includes strict…