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7 papers · 2 filters
Nematic liquid crystal flow with partially free boundary
Fanghua Lin, Yannick Sire, Juncheng Wei +1
We study a simplified Ericksen-Leslie system modeling the flow of nematic liquid crystals with partially free boundary conditions. It is a coupled system between the Navier-Stokes…
An Intermittent Onsager Theorem
Matthew Novack, Vlad Vicol
For any regularity exponent , we construct non-conservative weak solutions to the 3D incompressible Euler equations in the class …
A dynamical approach to the study of instability near Couette flow
Hui Li, Nader Masmoudi, Weiren Zhao
In this paper, we obtain the optimal instability threshold of the Couette flow for Navier-Stokes equations with small viscosity , when the perturbations are in the critical sp…
On d quadratic Klein-Gordon equations with a potential and symmetries
Pierre Germain, Fabio Pusateri, Katherine Zhiyuan Zhang
This paper is a continuation of a previous work Germain-Pusateri (2020) by the first two authors. We focus on dimensional quadratic Klein-Gordon equations with a potential, und…
Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions
Stan Alama, Lia Bronsard, Xavier Lamy +1
For a smooth bounded domain we consider maps minimizing the energy $E(n)=\int_{\mathbb R^3\setminus G}|\nabla n…
Time quasi-periodic vortex patches of Euler equation in the plane
Massimiliano Berti, Zineb Hassainia, Nader Masmoudi
We prove the existence of time quasi-periodic vortex patch solutions of the 2-Euler equations in , close to uniformly rotating Kirchhoff elliptical vortices, with…