A5044575554- Advanced Mathematical Modeling in Engineering
- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Partial Differential Equations
- Mathematical Biology Tumor Growth
- Solidification and crystal growth phenomena
- Advanced Numerical Methods in Computational Mathematics
- Differential Equations and Numerical Methods
- Stability and Controllability of Differential Equations
- Navier-Stokes equation solutions
- Stochastic processes and statistical mechanics
- Nonlinear Differential Equations Analysis
- Nonlinear Dynamics and Pattern Formation
- Advanced Mathematical Physics Problems
- Evolution and Genetic Dynamics
- Stochastic processes and financial applications
- nanoparticles nucleation surface interactions
- Computational Fluid Dynamics and Aerodynamics
- Theoretical and Computational Physics
- Gas Dynamics and Kinetic Theory
- Numerical methods in inverse problems
- Groundwater flow and contamination studies
- Fluid Dynamics and Thin Films
- Advanced Thermodynamics and Statistical Mechanics
- Fluid Dynamics and Turbulent Flows
- Quantum chaos and dynamical systems
Laboratoire de Mathématiques d'Orsay
2009-2024
Laboratoire de Mathématiques
2009-2024
Centre National de la Recherche Scientifique
2011-2024
Université Paris-Saclay
1994-2023
Hokkaido University
2023
University of Rome Tor Vergata
2023
Meiji University
2023
The University of Tokyo
2023
Université Paris-Sud
2008-2021
Université Paris Cité
2003-2016
We consider the phase field equations in arbitrary space dimension. show that corresponding boundary value problems are well-posed when assuming initial data is square integrable and prove existence of a maximal attractor an inertial set.
We consider a tumor growth model involving nonlinear system of partial differential equations which describes the two types cell population densities with contact inhibition.In one space dimension, it is known that global solutions exist and they satisfy so-called segregation property: if populations are initially segregated -in mathematical terms this translates into disjoint supports their -this property remains true at all later times.We apply recent results on transport regular...
We study the existence and nonexistence in large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing gravitational interaction particles. The blow-up defined n-dimensional
This paper is devoted to some infinite-dimensional optimization problems with finitely many constraints. These deal entropy maximization, and this particularly concerned those originating from Fourier analysis. have a structure that makes them amenable dual methods, for theoretical as well numerical solutions. Existence results are recalled, the use of duality construct suitable efficient algorithms demonstrated. Finally, so-called phase-problem crystallographers, which crucial importance in...
We study an evolution problem corresponding to the nonlinear diffusion equation $u_t = \Delta \varphi (u) + {\operatorname{div}}(u{\operatorname {grad}}v)$ with no flux boundary conditions. This has a continuum of stationary solutions. prove existence and uniqueness solution construct Lyapunov functional in order show that stabilizes as $t \to \infty $.
A free boundary problem due to Nishiura and Ohnishi is solved in one space dimension. That was derived, during their study of phase separation phenomena diblock copolymers, as an asymptotic limit pattern-forming PDEs generalizing that Cahn Hilliard. The dimension reduces a linear system ODEs for the lengths intervals between interfaces. This also arises completely different context spatial discretization simple heat equation medium with periodic properties. (The homogeneous important special...
We consider a two-component competition-diffusion system with equal diffusion coefficients and inhomogeneous Dirichlet boundary conditions. When the interspecific competition parameter tends to infinity, the system solution converges that of free-boundary problem. If all stationary solutions this limit problem are non-degenerate if certain linear combination data does not identically vanish, then for sufficiently large competition, non-negative solutions of the converge stationary states as...