107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
29 papers · 1 filter
Macroscopic dynamics of incoherent soliton ensembles: soliton-gas kinetics and direct numerical modeling
Francesco Carbone, Denys Dutykh, Gennady El
We undertake a detailed comparison of the results of direct numerical simulations of the integrable soliton gas dynamics with the analytical predictions inferred from the exact sol…
Strong well-posedness of McKean-Vlasov stochastic differential equation with H{ö}lder drift
Paul-Eric Chaudru de Raynal
In this paper, we prove pathwise uniqueness for stochastic systems of McKean-Vlasov type with singular drift, even in the measure argument, and uniformly non-degenerate Lipschitz d…
Maximising Neumann eigenvalues on rectangles
Michiel van den Berg, Dorin Bucur, Katie Gittins
We obtain results for the spectral optimisation of Neumann eigenvalues on rectangles in with a measure or perimeter constraint. We show that the rectangle with measu…
On the multi-symplectic structure of the Serre-Green-Naghdi equations
Marx Chhay, Denys Dutykh, Didier Clamond
In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic…
On the stability of the Wulff shape
Julien Roth
Given a positive function F on S n satisfying an appropriate con-vexity assumption, we consider hypersurfaces for which a linear combination of some higher order anisotropic curvat…
Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
For surface gravity waves propagating in shallow water, we propose a variant of the fully nonlinear Serre-Green-Naghdi equations involving a free parameter that can be chosen to im…
Minimality of p-adic rational maps with good reduction
Ai-Hua Fan, Shilei Fan, Lingmin Liao +1
A rational map with good reduction in the field of -adic numbers defines a -Lipschitz dynamical system on the projective line ov…
Stringy invariants for horospherical varieties of complexity one
Kevin Langlois, Clélia Pech, Michel Raibaut
In this paper we determine the stringy motivic volume of log terminal horospherical -varieties of complexity one, where is a connected reductive linear algebraic group. The…
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids
Gayaz Khakimzyanov, Denys Dutykh
In the present study we consider an example of a boundary value problem for a simple second order ordinary differential equation, which may exhibit a boundary layer phenomenon. We…
New asymptotic heat transfer model in thin liquid films
Marx Chhay, Denys Dutykh, Marguerite Gisclon +1
In this article, we present a model of heat transfer occurring through a li\-quid film flowing down a vertical wall. This new model is formally derived using the method of asymptot…
A Piecewise Deterministic Markov Toy Model for Traffic/Maintenance and Associated Hamilton-Jacobi Integrodifferential Systems on Networks
Dan Goreac, Magdalena Kobylanski, Miguel Martinez
We study optimal control problems in infinite horizon when the dynamics belong to a specific class of piecewise deterministic Markov processes constrained to star-shaped networks (…
Efficient computation of capillary-gravity generalized solitary waves
Denys Dutykh, Didier Clamond, Angel Duran
This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continua…
Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes
Frédéric Bihan, Pierre-Jean Spaenlehauer
Consider a regular triangulation of the convex-hull of a set of points in , and a real matrix of size . A version of Viro's method…
Persistent random walks
Peggy Cénac, Basile De Loynes, Arnaud Le Ny +1
We consider a walker that at each step keeps the same direction with a probabilitythat depends on the time already spent in the direction the walker is currently moving. In this pa…
Diffusive limits for a barotropic model of radiative flow
Raphaël Danchin, Bernard Ducomet
Here we aim at justifying rigorously different types of physically relevant diffusive limits for radiative flows. For simplicity, we consider the barotropic situation, and adopt th…
Coupling Conditions for Water Waves at Forks
Jean-Guy Caputo, Denys Dutykh, Bernard Gleyse
We considered the propagation of nonlinear shallow water waves in a narrow channel presenting a fork. We aimed at computing the coupling conditions for a 1D effective model, using…
Curve-rational functions
János Kollár, Wojciech Kucharz, Krzysztof Kurdyka
Let be a subset of the set of real points of a real algebraic variety . We investigate which functions are the restrictions of rational functions on …
Characterization of a class of weak transport-entropy inequalities on the line
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson +2
We study an optimal weak transport cost related to the notion of convex order between probability measures. On the real line, we show that this weak transport cost is reached for a…
Stochastic Coalescence Multi-Fragmentation Processes
Eduardo Cepeda
We study infinite systems of particles which undergo coalescence and fragmentation, in a manner determined solely by their masses. A pair of particles having masses and coa…
Group Size Effect on the Success of Wolves Hunting
Ramon Escobedo, Denys Dutykh, Cristina Muro +2
Social foraging shows unexpected features such as the existence of a group size threshold to accomplish a successful hunt. Above this threshold, additional individuals do not incre…
Global Existence of Weak Solutions for Compresssible Navier--Stokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor
Didier Bresch, Pierre-Emmanuel Jabin
We prove global existence of appropriate weak solutions for the compressible Navier--Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feirei…
Wave dynamics on networks: method and application to the sine-Gordon equation
Denys Dutykh, Jean-Guy Caputo
We consider a scalar Hamiltonian nonlinear wave equation formulated on networks; this is a non standard problem because these domains are not locally homeomorphic to any subset of…
An asymptotic shape theorem for additive random linear growth models
Aurelia Deshayes, Pierrick Siest
In this paper, we define a class of additive random growth models whose growth is at least and at most linear and prove an asymptotic shape theorem for these models. This proof gen…