Collot, Charles
- On the derivation of the homogeneous kinetic wave equation
2019/12/22 by Charles Collot, Pierre Germain, Collot, Charles +1 · 5 citations
Mathematics · #35B34 #35C20 #35Q55 #70K70 #81Q30 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories
- Stable Singularity Formation for the Inviscid Primitive Equations
2021/12/17 by Collot, Charles, Ibrahim, Slim, Lin, Quyuan · 5 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Refined description and stability for singular solutions of the 2D\n Keller-Segel system
2019/12/02 by Charles Collot, Tej‐Eddine Ghoul, Collot, Charles +5 · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gene Regulatory Network Analysis #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph)
- Singularity formation for Burgers equation with transverse viscosity
2018/03/21 by Collot, Charles, Ghoul, Tej-Eddine, Masmoudi, Nader · 3 citations
#35A20 #35B35 #35B40 #35B44 #35K58 #35L67 #35M10 #35Q35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Collapsing-ring blowup solutions for the Keller-Segel system in three dimensions and higher
2021/12/31 by Charles Collot, Collot, Charles, Tej‐Eddine Ghoul +5 · 3 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Microtubule and mitosis dynamics
- Soliton resolution for the radial quadratic wave equation in six space dimensions
2022/01/05 by Collot, Charles, Duyckaerts, Thomas, Kenig, Carlos +1 · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Asymptotic Stability of Solitary Waves for One Dimensional Nonlinear Schrödinger Equations
2023/06/06 by Collot, Charles, Germain, Pierre · 3 citations
#35B40 #35Q55 #43A32 #74J35 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence
2022/08/01 by Collot, Charles, Dietert, Helge, Germain, Pierre · 2 citations
#35B35 #35Q20 #45G05 #82C10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Stability of equilibria for a Hartree equation for random fields
2018/11/07 by Collot, Charles, de Suzzoni, Anne-Sophie · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Spectral analysis for singularity formation of the two dimensional Keller-Segel system
2019/11/25 by Collot, Charles, Ghoul, Tej-Eddine, Masmoudi, Nader +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)
- Derivation of the homogeneous kinetic wave equation: longer time scales
2020/07/07 by Collot, Charles, Germain, Pierre · 1 citation
#35B34 #35C20 #35Q55 #70K70 #81Q30 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Stability of Steady States for Hartree and Schrodinger Equations for Infinitely Many Particles
2020/07/01 by Charles Collot, Collot, Charles, Anne-Sophie de Suzzoni +1 · 1 citation
Mathematics · Economics, Econometrics and Finance · #Spectral Theory in Mathematical Physics #Advanced Mathematical Physics Problems #Stochastic processes and financial applications
- Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting
2021/07/25 by Ioakeim Ampatzoglou, Charles Collot, Ampatzoglou, Ioakeim +3 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Random lasers and scattering media
- Type II blow up manifolds for the energy supercritical wave equation
2014/07/16 by Charles Collot, Collot, Charles · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
- On the stability of Type I self-similar blowups for the Keller-Segel system in three dimensions and higher
2024/06/17 by Charles Collot, Collot, Charles, Kaiqiang Zhang +1 · 1 citation
Mathematics · Economics, Econometrics and Finance · #Mathematical Biology Tumor Growth #advanced mathematical theories #Stochastic processes and financial applications
- On singularity formation for the two dimensional unsteady Prandtl system around the axis
2018/08/17 by Charles Collot, Collot, Charles, Tej‐Eddine Ghoul +5 · 1 citation
Engineering · Mathematics · #35A20 #35B35 #35B36 #35B40 #35B44 #35K58 #35Q35 #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
- Estimates for the Gross-Pitaevskii equation linearized around a vortex
2025/03/04 by Collot, Charles, Germain, Pierre, Pacherie, Eliot · 1 citation
#35Q51 #35Q55 #37K40 #37K45 #Analysis of PDEs (math.AP) #FOS: Mathematics