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
8 papers · 2 filters
Quantitative touchdown localization for the MEMS problem with variable dielectric permittivity
Carlos Esteve, Philippe Souplet
We consider a well-known model for micro-electromechanical systems (MEMS) with variable dielectric permittivity, based on a parabolic equation with singular nonlinearity. We study…
The interctitical defocusing nonlinear Schrödinger equations with radial initial data in dimensions four and higher
Chuanwei Gao, Changxing Miao, Jianwei Yang
In this paper, we consider the defocusing nonlinear Schrödinger equation in space dimensions . We prove that if is a radial solution which is \emph{priori} bounded in…
Two-bubble dynamics for threshold solutions to the wave maps equation
Jacek Jendrej, Andrew Lawrie
We consider the energy-critical wave maps equation in the equivariant case, with equivariance degree . It is known that initial data of…
Construction of a stable blowup solution with a prescribed behavior for a non-scaling invariant semilinear heat equation
G. K. Duong, V. T. Nguyen, H. Zaag
We consider the semilinear heat equation \begin{eqnarray*} \partial_t u = Δu + |u|^{p-1} u \ln ^α( u^2 +2), \end{eqnarray*} in the whole space , where and $ α…
Incompressible limit of the Navier-Stokes model with a growth term
Nicolas Vauchelet, Ewelina Zatorska
Starting from isentropic compressible Navier-Stokes equations with growth term in the continuity equation, we rigorously justify that performing an incompressible limit one arrives…
Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations
Thomas Duyckaerts, Jianwei Yang
This work concerns the semilinear wave equation in three space dimensions with a power-like nonlinearity which is greater than cubic, and not quintic (i.e. not energy-critical). We…