19 citations · 42 across the 13 of their papers we have counts for
18 papers
Eigenvalues of the linearized Navier-Stokes operator near locally Couette laminar flows
Yaniv Almog, Bernard Helffer
We consider the spectrum of the Orr-Sommerfeld operator, which is obtained from the linearized Navier-Stokes (LNS) operator near a laminar flow in an infinite two-dimensional chann…
Stability of laminar monotone shear flows in a channel for high Reynolds number
Yaniv Almog, Bernard Helffer
We consider the stability of a laminar flow in the two-dimensional channel in the large Reynolds number limit. Assuming that is str…
Minimization of the discrete interaction energy with smooth potentials
Yaniv Almog
We study the pair interaction on flat tori of functions whose Fourier coefficients are positive and decay sufficiently rapidly. In dimension one we find that the minimizer, up to t…
On the stability of symmetric flows in a two-dimensional channel
Yaniv Almog, Bernard Helffer
We consider the stability of symmetric flows in a two-dimensional channel (including the Poiseuille flow). In 2015 Grenier, Guo, and Nguyen have established instability of these fl…
On the spectrum of some Bloch-Torrey vector operators
Yaniv Almog, Bernard Helffer
We consider the Bloch-Torrey operator in where . In contrast with the (as well as the $L^2({\mathbb R}^k,{\math…
Global homogenization of a dilute suspension of spheres: Suspension rheology
Yaniv Almog, Howard Brenner
A new method for rheologically homogenizing a dilute suspension composed of freely-suspended spherical particles dispersed in a Newtonian fluid is presented: The ensemble-averaged…
On the stability of laminar flows between plates
Yaniv Almog, Bernard Helffer
Consider a two-dimensional laminar flow between two plates, so that , given by , where sa…
The spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit
Yaniv Almog, Bernard Helffer
Consider a two-dimensional domain shaped like a wire, not necessarily of uniform cross section. Let denote an electric potential driven by a voltage drop between the conducting…
Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains
Yaniv Almog, Denis Grebenkov, Bernard Helffer
Generalizing previous results obtained for the spectrum of the Dirichlet and Neumann realizations in a bounded domain of a Schrödinger operator with a purely imaginary potential $h…
On a Schrödinger operator with a purely imaginary potential in the semiclassical limit
Yaniv Almog, Denis Grebenkov, Bernard Helffer
We consider the operator in the semi-classical , where is a smooth real potential with no critical points. We obtain both the left margin…
Existence of superconducting solutions for a reduced Ginzburg-Landau model in the presence of strong electric currents
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1
In this work we consider a reduced Ginzburg-Landau model in which the magnetic field is neglected and the magnitude of the current density is significantly stronger than that consi…
The Clausius-Mossotti formula for dilute random media of perfectly conducting inclusions
Yaniv Almog
We consider a large number of randomly dispersed spherical, identical, perfectly conducting inclusions (of infinite conductivity) in a bounded domain. The host medium's conductivit…
Spectral analysis of a complex Schrödinger operator in the semiclassical limit
Yaniv Almog, Raphaël Henry
We consider the Dirichlet realization of the operator in the semi-classical limit , where is a smooth real potential with no critical points. For a one dimens…
Mixed normal-superconducting states in the presence of strong electric currents
Yaniv Almog, Bernard Helffer, Xing-Bin Pan
We study the Ginzburg-Landau equations in the presence of large electric currents, that are smaller than the critical current where the normal state losses its stability. For stead…
On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent
Yaniv Almog, Bernard Helffer
We determine the Schatten class for the compact resolvent of Dirichlet realizations, in unbounded domains, of a class of non-selfadjoint differential operators. This class consists…
Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1
For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the pu…
Global stability of the normal state of superconductors in the presence of a strong electric current
Yaniv Almog, Bernard Helffer
We consider the time-dependent Ginzburg-Landau model of superconductivity in the presence of an electric current flowing through a two-dimensional wire. We show that when the curre…
Radially symmetric minimizers for a -Ginzburg Landau type energy in
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1
We consider the minimization of a p-Ginzburg-Landau energy functional over the class of radially symmetric functions of degree one. We prove the existence of a unique minimizer in…