2 citations · 2 across the 6 of their papers we have counts for
6 papers
Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity
Tej-eddine Ghoul, Jie Liu, Nader Masmoudi
We investigate the blow-up dynamics of smooth solutions to the one-dimensional wave equation with a quadratic spatial derivative nonlinearity, motivated by its applications in Effe…
Waiting Time Solutions in gas dynamics
Juhi Jang, Jiaqi Liu, Nader Masmoudi
In this article, we construct a continuum family of self-similar waiting time solutions for the one-dimensional compressible Euler equations for the adiabatic exponent $\ga\in(1,3)…
Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge
Marco Bravin, Manuel V. Gnann, Hans Knüpfer +3
Well-posedness and higher regularity of the heat equation with Robin boundary conditions in an unbounded two-dimensional wedge is established in an -setting of monomially we…
Singularity formed by the collision of two collapsing solitons in interaction for the 2D Keller-Segel system
Charles Collot, Tej-Eddine Ghoul, Nader Masmoudi +1
It is well-known that the two-dimensional parabolic-elliptic Keller-Segel system admits finite-time blowup solutions, which is the case if the initial density has total mass greate…
Blow-Up Dynamics for the critical case of the D Zakharov-Kuznetsov equation
Francisc Bozgan, Tej-Eddine Ghoul, Nader Masmoudi +1
We study blow-up dynamics for the -critical cubic Zakharov--Kuznetsov equation in two dimensions, \[ \partial_tu+\partial_{x_1}(Δu+u^3)=0 \qquad\text{on }\mathbb R^2. \] For a…
Global Solutions for the Gravity Water Waves Equation in Dimension 3
P. Germain, N. Masmoudi, J. Shatah
We show existence of global solutions for the gravity water waves equation in dimension 3, in the case of small data. The proof combines energy estimates, which yield control of L^…