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5 papers · 2 filters
Existence and uniqueness analysis of a non-isothermal cross-diffusion system of Maxwell-Stefan type
Harsha Hutridurga, Francesco Salvarani
In this article we prove local-in-time existence and uniqueness of solution to a non-isothermal cross-diffusion system with Maxwell-Stefan structure.
Nodal domains, spectral minimal partitions, and their relation to Aharonov-Bohm operators
Virginie Bonnaillie-Noël, Bernard Helffer, Thomas Hoffmann-Ostenhof
This survey is a short version of a chapter written by the first two authors in the book [A. Henrot, editor. Shape optimization and spectral theory. Berlin: De Gruyter, 2017] (wher…
Optimization of some eigenvalue problems with large drift
Francois Hamel, Luca Rossi, Emmanuel Russ
This paper is concerned with eigenvalue problems for non-symmetric elliptic operators with large drifts in bounded domains under Dirichlet boundary conditions. We consider the mini…
On stationary two-dimensional flows around a fast rotating disk
Isabelle Gallagher, Mitsuo Higaki, Yasunori Maekawa
We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, an…
Boundary stabilization of quasilinear hyperbolic systems of balance laws: Exponential decay for small source terms
Martin Gugat, Vincent Perrollaz, Lionel Rosier
We investigate the long-time behavior of solutions of quasilinear hyperbolic systems with transparent boundary conditions when small source terms are incorporated in the system. Ev…