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4 papers · 2 filters
The Vlasov-Navier-Stokes system in a 2D pipe: existence and stability of regular equilibria
Olivier Glass, Daniel Han-Kwan, Ayman Moussa
In this paper, we study the Vlasov-Navier-Stokes system in a 2D pipe with partially absorbing boundary conditions. We show the existence of stationary states for this system near s…
Homogenization of Stokes System using Bloch Waves
Grégoire Allaire, Tuhin Ghosh, Muthusamy Vanninathan
In this work, we study the Bloch wave homogenization for the Stokes system with periodic viscosity coefficient. In particular, we obtain the spectral interpretation of the homogeni…
Nonexistence of small, odd breathers for a class of nonlinear wave equations
Michał Kowalczyk, Yvan Martel, Claudio Muñoz
In this note, we show that for a large class of nonlinear wave equations with odd nonlinearities, any globally defined odd solution which is small in the energy space decays to …
Local null-controllability of the 2-D Vlasov-Navier-Stokes system
Iván Moyano
We prove a null controllability result for the Vlasov-Navier-Stokes system, which describes the interaction of a large cloud of particles immersed in a fluid. We show that one can…