Space Quasi-Periodic Steady Euler Flows Close to the Inviscid Couette Flow [0.03%]
接近于不可压Couette流的准周期稳定欧拉流
Luca Franzoi,Nader Masmoudi,Riccardo Montalto
Luca Franzoi
We prove the existence of steady space quasi-periodic stream functions, solutions for the Euler equation in a vorticity-stream function formulation in the two dimensional channel R × [ - 1 , 1 ] . These solutions bifurcate from a pres...
Regularity of the Optimal Sets for a Class of Integral Shape Functionals [0.03%]
一类积分型形状泛函的最优区域的问题的正则性
Giuseppe Buttazzo,Francesco Paolo Maiale,Dario Mazzoleni et al.
Giuseppe Buttazzo et al.
We prove the first regularity theorem for the free boundary of solutions to shape optimization problems involving integral functionals, for which the energy of a domain Ω is obtained as the integral of a cost function j(u, x) depending...
Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System [0.03%]
经典两相流动的粘性不可压缩流体由Navier-Stokes/Allen-Cahn系统逼近
Helmut Abels,Julian Fischer,Maximilian Moser
Helmut Abels
We show convergence of the Navier-Stokes/Allen-Cahn system to a classical sharp interface model for the two-phase flow of two viscous incompressible fluids with same viscosities in a smooth bounded domain in two and three space dimensions a...
Clara Torres-Latorre
Clara Torres-Latorre
We prove the parabolic boundary Harnack inequality in parabolic flat Lipschitz domains by blow-up techniques, allowing, for the first time, a non-zero right-hand side. Our method allows us to treat solutions to equations driven by non-diver...
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary [0.03%]
障碍问题的定量均匀化及其自由边界问题
Gohar Aleksanyan,Tuomo Kuusi
Gohar Aleksanyan
In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both for the solution and the free boundary for the heterogeneou...
Habib Ammari,Silvio Barandun,Jinghao Cao et al.
Habib Ammari et al.
We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of...
Alexis Michelat,Yilin Wang
Alexis Michelat
We obtain a new formula for the Loewner energy of Jordan curves on the sphere, which is a Kähler potential for the essentially unique Kähler metric on the Weil-Petersson universal Teichmüller space, as the renormalised energy of moving f...
Propagation for Schrödinger Operators with Potentials Singular Along a Hypersurface [0.03%]
势奇异于超曲面上的薛定谔算子的传播集
Jeffrey Galkowski,Jared Wunsch
Jeffrey Galkowski
In this article, we study the propagation of defect measures for Schrödinger operators - h 2 Δ g + V on a Riemannian manifold (M, g) of dimension n with V having conormal singularities along a hypersurface Y in the sense that derivat...
Martin Bauer,Jakob Møller-Andersen,Stephen C Preston
Martin Bauer
In this article we propose a novel geometric model to study the motion of a physical flag. In our approach, a flag is viewed as an isometric immersion from the square with values in R3 satisfying certain boundary conditions at the flag pole...
Felipe Marceca,José Luis Romero,Michael Speckbacher
Felipe Marceca
We study concentration operators associated with either the discrete or the continuous Fourier transform, that is, operators that incorporate a spatial cut-off and a subsequent frequency cut-off to the Fourier inversion formula. The spectra...