Publications HAL

2022/09 – Adaptation in a heterogeneous environment II: To be three or not to be

2022/07 – Spreading speeds and spreading sets of~reaction-diffusion equations

2022/01 Proceedings of the American Mathematical Society – Diameters of the level sets for reaction-diffusion equations in nonperiodic slowly varying media *

2022/01 Journal of Dynamics and Differential Equations – Propagation phenomena in periodic patchy landscapes with interface conditions

2022/01 Advances in Mathematics – Reaction-diffusion fronts in funnel-shaped domains

2022/01 Journal of Differential Equations – FORCED WAVES FOR A THREE-SPECIES PREDATOR-PREY SYSTEM WITH NONLOCAL DISPERSAL IN A SHIFTING ENVIRONMENT

2021/01 Journal für die reine und angewandte Mathematik – Half-space theorems for the Allen-Cahn equation and related problems

2021/01 Journal de Mathématiques Pures et Appliquées – When the Allee threshold is an evolutionary trait: persistence vs. extinction

2021/01 Journal of the European Mathematical Society – Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems

2021/01 Journal of Dynamics and Differential Equations – LOCALIZED AND EXPANDING ENTIRE SOLUTIONS OF REACTION-DIFFUSION EQUATIONS

2021/01 Journal of Mathematical Biology – Adaptation in a heterogeneous environment. I: Persistence versus extinction

2020/04 – Geometric properties of superlevel sets of semilinear elliptic equations in convex domains

2020/02 Nonlinear Analysis: Real World Applications – Dynamics of adaptation in an anisotropic phenotype-fitness landscape

2020/01 Nonlinear Analysis: Theory, Methods and Applications – On generalized principal eigenvalues of nonlocal operators with a drift

2019/01 Proceedings of the London Mathematical Society – Liouville type results for a nonlocal obstacle problem

2019/01 Archive for Rational Mechanics and Analysis – A Liouville theorem for the Euler equations in the plane

2019/01 Journal de Mathématiques Pures et Appliquées – On the mean speed of bistable transition fronts in unbounded domains

2019/01 Journal of Functional Analysis – Propagation in a Fisher-KPP equation with non-local advection *

2019/01 Nonlinearity – Dynamics of fitness distributions in the presence of a phenotypic optimum: an integro-differential approach *

2019/01 Nonlinearity – Dynamics of fitness distributions in the presence of a phenotypic optimum: an integro-differential approach

2019/01 Proceedings of the London Mathematical Society – Liouville type results for a nonlocal obstacle problem

2019/01 Nonlinear Analysis: Theory, Methods and Applications – On generalized principal eigenvalues of nonlocal operators with a drift *

2018/01 Communications in Partial Differential Equations – Optimization of some eigenvalue problems with large drift

2018/01 Journal de Mathématiques Pures et Appliquées – Large time monotonicity of solutions of reaction-diffusion equations in $R^N$

2018/01 Séminaire Laurent Schwartz – EDP et applications – Parallel and circular flows for the two-dimensional Euler equations *

2017/06 Nonlinearity – Traveling waves for a lattice dynamical system arising in a diffusive endemic model

2017/03 Communications on Pure and Applied Mathematics – Shear Flows of an Ideal Fluid and Elliptic Equations in Unbounded Domains

2017/02 Journal of Differential Equations – Sharp thresholds between finite spread and uniform convergence for a reaction–diffusion equation with oscillating initial data

2017/02 Discrete and Continuous Dynamical Systems – Series A – Transition fronts and stretching phenomena for a general class of reaction-dispersion equations

2017/01 Mathematische Annalen – Comparison results and improved quantified inequalities for semilinear elliptic equations

2017/01 Indiana University Mathematics Journal – Bistable pulsating fronts for reaction-diffusion equations in a periodic habitat

2017/01 SIAM Journal on Applied Mathematics – Mathematical properties of a class of integro-differential models from population genetics *

2017/01 Annales de l’Institut Henri Poincaré C, Analyse non linéaire – A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane

2017/01 Chinese Annals of Mathematics – Series B – One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in ℝ N

2016/02 Advances in Mathematics – Bistable transition fronts in R^N

2016/01 – Comparaisons et inégalités améliorées pour des équations elliptiques semi-linéaires

2016/01 Transactions of the American Mathematical Society – Transition fronts for the Fisher-KPP equation

2016/01 Journal of Elliptic and Parabolic Equations – Monotonicity of bistable transition fronts in R^N

2016/01 Journal of the European Mathematical Society – The logarithmic delay of KPP fronts in a periodic medium

2016/01 American Journal of Mathematics – Convexity of level sets for elliptic problems in convex domains or convex rings: two counterexamples

2015/01 Calculus of Variations and Partial Differential Equations – Transition fronts for periodic bistable reaction-diffusion equations

2015/01 – Comparaisons et inégalités améliorées pour des équations elliptiques semi-linéaires

2015/01 SIAM Journal on Mathematical Analysis – Admissible speeds of transition fronts for non-autonomous monostable equations

2014/01 Ecological Complexity – The spatio-temporal dynamics of neutral genetic diversity

2014/01 Nonlinearity – On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds

2014/01 Tamkang Jourmal of Mathematics – Persistence and propagation in periodic reaction-diffusion models

2013/05 Math. Mod. Nat. Phen. – Inside dynamics of delayed travelling waves

2013/01 Networks and Heterogeneous Media – A short proof of the logarithmic Bramson correction in Fisher-KPP equations

2013/01 International Mathematics Research Notices – The Harnack inequality for a class of degenerate elliptic operators

2013/01 Mathematische Annalen – Speed-up of combustion fronts in shear flows

2013/01 Mathematical Modelling of Natural Phenomena – Inside dynamics of delayed traveling waves

2012/09 Communications on Pure and Applied Analysis – Uniqueness from pointwise observations in a multi-parameter inverse problem

2012/01 Proceedings of the National Academy of Sciences of the United States of America – Allee effect promotes diversity in traveling waves of colonization

2012/01 Archive for Rational Mechanics and Analysis – Propagation and blocking in periodically hostile environments

2012/01 Communications in Partial Differential Equations – Spreading Properties and Complex Dynamics for Monostable Reaction–Diffusion Equations

2012/01 Bulletin of Mathematical Biology – Success rate of a biological invasion in terms of the spatial distribution of the founding population

2012/01 Comm. Part. Diff. Equations – Spreading properties and complex dynamics for monostable reaction-diffusion equations

2012/01 Communications on Pure and Applied Mathematics – Generalized transition waves and their properties

2012/01 Séminaire Laurent Schwartz – EDP et applications – Symmetrization of functions and principal eigenvalues of elliptic operators

2012/01 Journal de Mathématiques Pures et Appliquées – Inside dynamics of pulled and pushed fronts

2012/01 Journal de Mathématiques Pures et Appliquées – Inside dynamics of pulled and pushed fronts

2011/01 Journal of the European Mathematical Society – Uniqueness and stability properties of monostable pulsating fronts

2011/01 Nonlinear Analysis: Theory, Methods and Applications – Two-dimensional curved fronts in a periodic shear flow

2011/01 Discrete and Continuous Dynamical Systems – Series S – Heteroclinic connections for multidimensional bistable reaction-diffusion equations

2011/01 Advances in Mathematics – Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches

2011/01 Indiana University Mathematics Journal – A viscosity solution method for the spreading speed formula in slowly varying media

2011/01 Journal of the European Mathematical Society – Uniqueness and stability properties of monostable pulsating fronts

2011/01 Annals of Mathematics – Rearrangement inequalities and applications to isoperimetric problems for eigenvalues

2010/02 Theoretical Population Biology – Recolonisation by diffusion can generate increasing rates of spread

2010/01 Journal of Differential Equations – Fast propagation for KPP equations with slowly decaying initial conditions

2010/01 Bulletin of Mathematical Biology – Spreading speeds in slowly oscillating environments

2010/01 Journal of Differential Equations – Fast propagation for KPP equations with slowly decaying initial conditions

2009/01 Discrete and Continuous Dynamical Systems – Series A – Homogenization and influence of fragmentation in a biological invasion model

2008/01 Journal de Mathématiques Pures et Appliquées – Qualitative properties of monostable pulsating fronts : exponential decay and monotonicity

2007/05 – Mathematical analysis of the optimal habitat configurations for species persistence

2007/01 Annales de l’Institut Henri Poincaré C, Analyse non linéaire – Traveling waves with paraboloid like interfaces for balanced bistable dynamics

2007/01 Mathematical Biosciences – Mathematical analysis of the optimal habitat configurations for species persistence

2006/07 – A Faber-Krahn inequality with drift

2005/01 Journal of the European Mathematical Society – The speed of propagation for KPP type problems. I – Periodic framework

2005/01 Journal of mathematical biology. – Analysis of the periodically fragmented environment model : I – Influence of periodic heterogeneous environment on species persistence.

2005/01 Archive for Rational Mechanics and Analysis – Quenching and propagation in KPP reaction-diffusion equations with a heat loss

2005/01 Communications in Mathematical Physics – Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena

2005/01 Communications in Partial Differential Equations – Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations

2005/01 Discrete and Continuous Dynamical Systems – Series A – Existence and qualitative properties of multidimensional conical bistable fronts

2005/01 Journal de Mathématiques Pures et Appliquées – Analysis of the periodically fragmented environment model : II – Biological invasions and pulsating travelling fronts.

2004/01 Annales Scientifiques de l’École Normale Supérieure – Stability of travelling waves in a model for conical flames in two space dimensions