Search Results for author: Pierre Marchand

Found 2 papers, 1 papers with code

Fast methods for tracking grain coagulation and ionization. I. Analytic derivation

1 code implementation26 Feb 2021 Pierre Marchand, Vincent Guillet, Ugo Lebreuilly, Mordecai-Mark Mac Low

Their coagulation leads to shifts in their size distribution and ultimately to the formation of planets.

Astrophysics of Galaxies Earth and Planetary Astrophysics Instrumentation and Methods for Astrophysics Solar and Stellar Astrophysics

Eigenvalues of the truncated Helmholtz solution operator under strong trapping

no code implementations6 Jan 2021 Jeffrey Galkowski, Pierre Marchand, Euan A. Spence

For the Helmholtz equation posed in the exterior of a Dirichlet obstacle, we prove that if there exists a family of quasimodes (as is the case when the exterior of the obstacle has stable trapped rays), then there exist near-zero eigenvalues of the standard variational formulation of the exterior Dirichlet problem (recall that this formulation involves truncating the exterior domain and applying the exterior Dirichlet-to-Neumann map on the truncation boundary).

Analysis of PDEs Numerical Analysis Numerical Analysis 35J05, 35P15, 35B34, 35P25

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