1 code implementation • 26 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
no code implementations • 6 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