501 citations
- University of TorontoCA11 papers
- University of WaterlooCA11 papers
- Institut de Mathématiques de BordeauxFR6 papers
- Institut de recherche mathématique de RennesFR6 papers
- Tsinghua UniversityCN6 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR5 papers
- Massachusetts Institute of TechnologyUS5 papers
- Sapienza University of RomeIT5 papers
- Brown UniversityUS4 papers
- Carleton UniversityCA4 papers
- Imperial College LondonGB4 papers
- University of California, BerkeleyUS4 papers
6 papers · 2 filters
Global Well-posedness and Long Time Behaviors of Chemotaxis-Fluid System Modeling Coral Fertilization
Myeongju Chae, Kyungkeun Kang, Jihoon Lee
We consider generalized models on coral broadcast spawning phenomena involving diffusion, advection, chemotaxis, and reactions when egg and sperm densities are different. We prove…
Finite Horizon Mean Field Games on Networks
Yves Achdou, Manh-Khang Dao, Olivier Ley +1
We consider finite horizon stochastic mean field games in which the state space is a network. They are described by a system coupling a backward in time Hamilton-Jacobi-Bellman equ…
Sharp spectral multipliers without semigroup framework and application to random walks
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
In this paper we prove spectral multiplier theorems for abstract self-adjoint operators on spaces of homogeneous type. We have two main objectives. The first one is to work outside…
Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
Chulkwang Kwak, Claudio Muñoz
Consider the Hamiltonian system in one dimension, with data posed in the energy space . This model, introduced by Bona, Chen and Saut, is a well-known physica…
Global solutions and stability properties of the 5th order Gardner equation
Miguel A. Alejo, Chulkwang Kwak
In this work, we deal with the initial value problem of the 5th-order Gardner equation in , presenting the local well-posedness result in . As a conseq…
Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity
Young-Pil Choi, Jinwook Jung
We study a hydrodynamic limit of a system of coupled kinetic and fluid equations under a strong local alignment force and a strong Brownian motion. More precisely, we consider the…