Simon St-Amant

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math.SP2020

Asymptotics of sloshing eigenvalues for a triangular prism

Julien Mayrand, Charles Senécal, Simon St-Amant

We consider the three-dimensional sloshing problem on a triangular prism whose angles with the sloshing surface are of the form $\frac{π}{2 q}$ , where $q$ is an integer. We are intere…

math.SP2020

Spectral invariants of Dirichlet-to-Neumann operators on surfaces

Jean Lagacé, Simon St-Amant

We obtain a complete asymptotic expansion for the eigenvalues of the Dirichlet-to-Neumann maps associated with Schrödinger operators on compact Riemannian surfaces with boundary. F…