Zobrazeno 1 - 10
of 523
pro vyhledávání: '"MASMOUDI, NADER"'
It is well-known that the two-dimensional Keller-Segel system admits finite time blowup solutions, which is the case if the initial density has a total mass greater than $8\pi$ and a finite second moment. Several constructive examples of such solutio
Externí odkaz:
http://arxiv.org/abs/2409.05363
In this article, we prove that the threshold of instability of the classical Couette flow in $H^s$ for large $s$ is $\nu^{1/2}$. The instability is completely driven by the boundary. The dynamic of the flow creates a Prandtl type boundary layer of wi
Externí odkaz:
http://arxiv.org/abs/2409.00307
Autor:
Bravin, Marco, Gnann, Manuel V., Knüpfer, Hans, Masmoudi, Nader, Roodenburg, Floris B., Sauer, Jonas
We consider the incompressible and stationary Stokes equations on an infinite two-dimensional wedge with non-scaling invariant Navier-slip boundary conditions. We prove well-posedness and higher regularity of the Stokes problem in a certain class of
Externí odkaz:
http://arxiv.org/abs/2407.15517
Autor:
Gore, Sangram, Paudyal, Binaya, Ali, Mohamed, Masmoudi, Nader, Bae, Albert, Steinbock, Oliver, Gholami, Azam
Far from equilibrium, chemical and biological systems can form complex patterns and waves through reaction-diffusion coupling. Fluid motion often tends to disrupt these self-organized concentration patterns. In this study, we investigate the influenc
Externí odkaz:
http://arxiv.org/abs/2406.18006
We investigate the blow-up dynamics for the $L^2$ critical two-dimensional Zakharov-Kuznetsov equation \begin{equation*} \begin{cases} \partial_t u+\partial_{x_1} (\Delta u+u^3)=0, \mbox{ } x=(x_1,x_2)\in \mathbb{R}^2, \mbox{ } t \in \mathbb{R}\\ u(0
Externí odkaz:
http://arxiv.org/abs/2406.06568
Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hypersonic aircraft. In this paper, we construct multiple unstable acousti
Externí odkaz:
http://arxiv.org/abs/2405.04853
The main goal of this paper is to explore the leapfrogging phenomenon in the inviscid planar flows. We show for 2d Euler equations that under suitable constraints, four concentrated vortex patches leapfrog for all time. When observed from a translati
Externí odkaz:
http://arxiv.org/abs/2311.15765
We investigate the existence and stability of small perturbations of constant states of the generalized Hughes model for pedestrian flow in an infinitely large corridor. We show that constant flows are stable under a condition on the density. Our fin
Externí odkaz:
http://arxiv.org/abs/2310.06449
Autor:
Ghattassi, Mohamed, Masmoudi, Nader
In this paper, we present a new generalized Hughes model designed to intelligently depict pedestrian congestion dynamics, allowing pedestrian groups to either navigate through or circumvent high-density regions. First, we describe the microscopic set
Externí odkaz:
http://arxiv.org/abs/2310.04702
This paper is devoted to the diffusive limit of the nonlinear radiative heat transfer system with curved boundary domain (\textit{two dimensional disk}). The solution constructed in \cite{ghattassi2022convergence} by the leading order interior soluti
Externí odkaz:
http://arxiv.org/abs/2305.17661