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Showing 2022 · math.APShow all
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math.AP2022★ 6 cited
Quenching for a semi-linear wave equation for MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
We consider the formation of finite-time quenching singularities for solutions of semi-linear wave equations with negative power nonlinearities, as can model micro-electro-mechanic…
math.AP2022★ 4 cited
On finite time blow-up for a 3D Davey-Stewartson system
Luigi Forcella
We consider the elliptic-elliptic Davey-Stewartson system in the three-dimensional Euclidean space, and we give sufficient conditions for the existence of finite time blow-up solut…