649 research outputs found
Well-posedness and regularity of the Darcy-Boussinesq system in layered porous media
We investigate the Darcy-Boussinesq model for convection in layered porous
media. In particular, we establish the well-posedness of the model in two and
three spatial dimension, and derive the regularity of the solutions in a novel
piecewise H2 space
On a question of Drinfeld on the Weil representation I: the finite field case
Let F be a finite field of odd cardinality, and let G= GL2(F). The group G
\times G \times G acts on F^2 \otimes F^2 \otimes F^2 via symplectic
similitudes, and has a natural Weil representation. Answering a question
rasised by V. Drinfeld, we decompose that representation into irreducibles. We
also decompose the analogous representation of GL2(A), where A is a cubic
algebra over F.Comment: 29 pages. Comments welcom
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