1.4k citations
- Centre National de la Recherche ScientifiqueFR819 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR419 papers
- Laboratoire d'Informatique de Paris-NordFR291 papers
- Sorbonne Paris CitéFR283 papers
- Laboratoire de physique des lasersFR235 papers
- Sorbonne UniversitéFR182 papers
- Université Paris CitéFR178 papers
- Laboratoire des Sciences des Procédés et des MatériauxFR111 papers
- Université Paris-SaclayFR59 papers
- Université Paris-SudFR50 papers
- Université Pierre-et-Marie-CurieFR43 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR37 papers
112 papers · 1 filter
Rolling carpet strategy to reduce mosquito populations in two-dimensional space
Luís Almeida, Alexis Léculier, Nga Nguyen +1
Mosquitoes are vectors of numerous diseases; a strategy to fight the spread of these diseases is to control the vector population. In this article, we focus on the use of the steri…
Classification of entire and ancient solutions of the diffusive Hamilton-Jacobi equation
Loth Damagui Chabi, Philippe Souplet
Consider the diffusive HJ eq. with Dirichlet conditions, which arises in stochastic control as well as in KPZ type models of surface growth. It is known that, for and suitabl…
Optimal Hamilton-type gradient estimates and large time heat kernel bounds for noncompact manifolds
Loth Damagui Chabi, Philippe Souplet
We derive localized and global noncompact versions of Ham\-ilton's gradient estimate for positive solutions to the heat equation on Riemannian manifolds with Ricci curvature bounde…
Refined blow-up behavior for reaction-diffusion equations with non scale invariant exponential nonlinearities
Loth Damagui Chabi
We consider positive radial decreasing blow-up solutions of the semilinear heat equation \begin{equation*} u_t-Δu=f(u):=e^{u}L(e^{u}),\quad x\in Ω,\ t>0, \end{equation*} where $Ω=\…
Scalar behavior for a complex multi-soliton arising in blow-up for a semilinear wave equation
Asma Azaiez, Jacek Jendrej, Hatem Zaag
This paper deals with blow-up for the complex-valued semilinear wave equation with power nonlinearity in dimension 1. Up to a rotation of the solution in the complex plane, we show…
On a generalized derivative nonlinear Schrödinger equation
Phan van Tin
We consider a generalized derivative nonlinear Schr\''odinger equation. We prove existence of wave operator under an explicit smallness of the given asymptotic states. Our method b…