526 citations
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Showing 2020 · math.APShow all
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math.AP2020★ 36 cited
Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy
Peter Lewintan, Stefan Müller, Patrizio Neff
Let be an open and bounded set with Lipschitz boundary and outward unit normal . For we establish an improved version of the generalized $L^…
math.AP2020★ 33 cited
Global dynamics for the two-dimensional stochastic nonlinear wave equations
Massimiliano Gubinelli, Herbert Koch, Tadahiro Oh +1
We study global-in-time dynamics of the stochastic nonlinear wave equations (SNLW) with an additive space-time white noise forcing, posed on the two-dimensional torus. Our goal in…
math.AP2020★ 67 cited
Data-Driven Finite Elasticity
Sergio Conti, Stefan Müller, Michael Ortiz
We extend to finite elasticity the Data-Driven formulation of geometrically linear elasticity presented in Conti, Müller, Ortiz, Arch.\ Ration.\ Mech.\ Anal.\ 229, 79-123, 2018. Th…