8 citations
- Center for Mathematical ModelingCL2 papers
- Centre de Recherche en Mathématiques de la DécisionFR2 papers
- Laboratoire Amiénois de Mathématique Fondamentale et AppliquéeFR2 papers
- Université de Picardie Jules VerneFR2 papers
- Centre d'Études et d'Expertise sur les Risques, l'Environnement, la Mobilité et l'AménagementFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Chinese University of Hong KongHK1 paper
- Département agronomie et sciences de l'environnement pour les agroécosystèmesFR1 paper
- Georgia Institute of TechnologyUS1 paper
- Institut Camille JordanFR1 paper
- Institut dal Dicziunari Rumantsch GrischunCH1 paper
- Instituto de Cibernética Matemática y FísicaCU1 paper
8 papers
Optimal and Sub-optimal Feedback Controls for Biogas Production
Antoine Haddon, Hector Ramirez, Alain Rapaport
We revisit the optimal control problem of maximizing biogas production in continuous bio-processes in two directions: 1. over an infinite horizon, 2. with sub-optimal controllers i…
A hybrid variational principle for the Keller-Segel system in
Adrien Blanchet, José A. Carrillo, David Kinderlehrer +3
We construct weak global in time solutions to the classical Keller-Segel system cell movement by chemotaxis in two dimensions when the total mass is below the well-known critical v…
On the fractional Lane-Emden equation
Louis Dupaigne, Juan Davila, Juncheng Wei
We classify solutions of finite Morse index of the fractional Lane- Emden equation
Singular solutions of fractional elliptic equations with absorption
Huyuan Chen, Laurent Veron
The aim of this paper is to study the singular solutions to fractional elliptic equations with absorption $$ \left\{\arraycolsep=1pt \begin{array}{lll} (-Δ)^αu+|u|^{p-1}u=0,\quad &…
Stability of the Hartree-Fock model with temperature
Jean Dolbeault, Patricio Felmer, Mathieu Lewin
This paper is devoted to the Hartree-Fock model with temperature in the euclidean space. For large classes of free energy functionals, minimizers are obtained as long as the total…
Stable solutions for the bilaplacian with exponential nonlinearity
Juan Davila, Louis Dupaigne, Ignacio Guerra +1
Let denote the largest possible value of such that \begin{align*} \left\{\begin{aligned} Δ^2 u & = \la e^u && \text{in } u &= \pd{u}{n} = 0 && \text{on $ \pa B $} \…