Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Gallay, Thierry"'
Autor:
Dolce, Michele, Gallay, Thierry
We consider the evolution of a viscous vortex dipole in $R^2$ originating from a pair of point vortices with opposite circulations. At high Reynolds number $Re >> 1$, the dipole can travel a very long way, compared to the distance between the vortex
Externí odkaz:
http://arxiv.org/abs/2407.13562
Autor:
Gallay, Thierry, Scheel, Arnd
We study the long-time behavior of scalar viscous conservation laws via the structure of $\omega$-limit sets. We show that $\omega$-limit sets always contain constants or shocks by establishing convergence to shocks for arbitrary monotone initial dat
Externí odkaz:
http://arxiv.org/abs/2306.13341
Autor:
Gallay, Thierry, Sverak, Vladimir
For the incompressible Navier-Stokes equations in $R^3$ with low viscosity $\nu>0$, we consider the Cauchy problem with initial vorticity $\omega_0$ that represents an infinitely thin vortex filament of arbitrary given strength $\Gamma$ supported on
Externí odkaz:
http://arxiv.org/abs/2301.01092
Autor:
Gallay, Thierry, Sverak, Vladimir
Publikováno v:
Analysis & PDE 17 (2024) 681-722
We consider variational principles related to V. I. Arnold's stability criteria for steady-state solutions of the two-dimensional incompressible Euler equation. Our goal is to investigate under which conditions the quadratic forms defined by the seco
Externí odkaz:
http://arxiv.org/abs/2110.13739
Autor:
Zelati, Michele Coti, Gallay, Thierry
We consider the evolution of a passive scalar advected by a parallel shear flow in an infinite cylinder with bounded cross section, in arbitrary space dimension. The essential parameters of the problem are the molecular diffusivity $\nu$, which is as
Externí odkaz:
http://arxiv.org/abs/2108.11192
Autor:
Gallay, Thierry, Slijepcevic, Sinisa
We study the long-time behavior of the solutions of a two-component reaction-diffusion system on the real line, which describes the basic chemical reaction $A <=> 2 B$. Assuming that the initial densities of the species $A, B$ are bounded and nonnega
Externí odkaz:
http://arxiv.org/abs/2106.15137
Autor:
Gallay, Thierry, Mascia, Corrado
Motivated by tumor growth in Cancer Biology, we provide a complete analysis of existence and non-existence of invasive fronts for the reduced Gatenby--Gawlinski model \[ \partial_t U = U\{f(U)-dV\}, \qquad \partial_t V = \partial_x \{f(U)\,\partial_x
Externí odkaz:
http://arxiv.org/abs/2103.07775
We study the long-time behavior of localized solutions to linear or semilinear parabolic equations in the whole space $\mathbb{R}^n$, where $n \ge 2$, assuming that the diffusion matrix depends on the space variable $x$ and has a finite limit along a
Externí odkaz:
http://arxiv.org/abs/2005.13882
Autor:
Gallay, Thierry
The mathematical theory of hydrodynamic stability started in the middle of the 19th century with the study of model examples, such as parallel flows, vortex rings, and surfaces of discontinuity. We focus here on the equally interesting case of column
Externí odkaz:
http://arxiv.org/abs/1901.02815
Autor:
Gallay, Thierry, Smets, Didier
We investigate the linear stability of inviscid columnar vortices with respect to finite energy perturbations. For a large class of vortex profiles, we show that the linearized evolution group has a sub-exponential growth in time, which means that th
Externí odkaz:
http://arxiv.org/abs/1811.07584