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8 papers · 2 filters
Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials
Guy Bouchitté, Christophe Bourel, Didier Felbacq
It is now well established that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a (possibly) negative freque…
A rigorous justification of the Euler and Navier-Stokes equations with geometric effects
Peter Bella, Eduard Feireisl, Marta Lewicka +1
We derive the 1D isentropic Euler and Navier-Stokes equations describing the motion of a gas through a nozzle of variable cross section as the asymptotic limit of the 3D isentropic…
On the motion of viscous, compressible and heat-conducting liquids
Eduard Feireisl, Antonin Novotny, Yongzhong Sun
We consider a system of equations governing the motion of a viscous, compressible, and heat conducting liquid-like fluid, with a general EOS of Mie-Grueneisen type. In addition, we…
On existence and uniqueness of solutions for semilinear fractional wave equations
Yavar Kian, Masahiro Yamamoto
Let be a -bounded domain of , , and fix with . In the present paper we consider a Dirichlet initial-boundary…
Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
Jean-Marie Barbaroux, Dirk Hundertmark, Tobias Ried +1
It has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties as a fractional Laplacian. This has led to the hope that the homogenous Boltzman…
On singular limits arising in the scale analysis of stratified fluid flows
Eduard Feireisl, Rupert Klein, Antonin Novotny +1
We study the low Mach low Freude numbers limit in the compressible Navier-Stokes equations and the transport equation for evolution of an entropy variable -- the potential temperat…