output
20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

Showing 2020 · math.APShow all

7 papers · 2 filters

math.AP2020★ 1 cited

Insensitizing controls for the heat equation with respect to boundary variations

Sylvain Ervedoza, Pierre Lissy, Yannick Privat

This article is dedicated to insensitization issues of a quadratic functional involving the solution of the linear heat equation with respect to domains variations. This work can b…

math.AP2020★ 2 cited

Optimization of spatial control strategies for population replacement, application to Wolbachia

Michel Duprez, Romane Hélie, Yannick Privat +1

In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread…

math.AP2020

Optimal control strategies for the sterile mosquitoes technique

Luís Almeida, Michel Duprez, Yannick Privat +1

Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile in…

math.AP2020

Non dispersive solutions of the generalized KdV equations are typically multi-solitons

Xavier Friederich

We consider solutions of the generalized Korteweg-de Vries equations (gKdV) which are non dispersive in some sense (in the spirit of [18]) and which remain close to multi-solitons.…

math.AP2020★ 3 cited

Asymptotic K-soliton-like Solutions of the Zakharov-Kuznetsov type equations

Frédéric Valet

We study here the Zakharov-Kuznetsov equation in dimension and and the modified Zakharov-Kuznetsov equation in dimension . Those equations admit solitons, characterized…

math.AP2020

Minimal cost-time strategies for population replacement using the IIT

Luis Almeida, Jesús Bellver, Michel Duprez +1

Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effectiv…

math.AP2020

Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation

Raphaël Cote, Frédéric Valet

We consider the Zakharov-Kuznetsov equation (ZK) in space dimension 2. Solutions u with initial data u\_0 H s are known to be global if s 1. We prove that for any integ…