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math.AP2021
Null-Controllability of a Non-Local Heat Equation
Steven Walton
We consider the null-controllability of a non-local heat equation by interior controls. We confirm a conjecture of Lissy and Zuazua by showing that it is enough to assume…
math.NA2021
A Numerical Scheme for Wave Turbulence: 3-Wave Kinetic Equations
Steven Walton, Minh-Binh Tran
We introduce a finite volume scheme to solve a special case of isotropic 3-wave kinetic equations. We test our numerical solution against theoretical results concerning the long ti…