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60 papers · 1 filter
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim +1
We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lamé system converge in appropriate -n…
Enhancement of near-cloaking for the full Maxwell equations
Habib Ammari, Hyeonbae Kang, Hyundae Lee +2
In this paper, we consider near cloaking for the full Maxwell equations. We extend the recent results, where the quasi-static limit case and the Helmholtz equation are considered,…
Functional renormalization-group approach to decaying turbulence
Andrei A. Fedorenko, Pierre Le Doussal, Kay Joerg Wiese
We reconsider the functional renormalization-group (FRG) approach to decaying Burgers turbulence, and extend it to decaying Navier-Stokes and Surface-Quasi-Geostrophic turbulence.…
The water waves equations: from Zakharov to Euler
Thomas Alazard, Nicolas Burq, Claude Zuily
Starting form the Zakharov/Craig-Sulem formulation of the water-waves equations, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equ…
The renormalized volume and uniformisation of conformal structures
Colin Guillarmou, Sergiu Moroianu, Jean-Marc Schlenker
We study the renormalized volume of asymptotically hyperbolic Einstein (AHE in short) manifolds when the conformal boundary $\pl M$ has dimension even. Its definition d…
Solvation of complex surfaces via molecular density functional theory
Maximilien Levesque, Virginie Marry, Benjamin Rotenberg +3
We show that classical molecular density functional theory (MDFT), here in the homogeneous reference fluid approximation in which the functional is inferred from the properties of…