Pierre Germain
- Global solutions for the gravity water waves equation in dimension 3
2012/01/31 by Pierre Germain, Nader Masmoudi, Jilal Shatah · 29 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
- Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model
2015/10/17 by Pierre Germain, Philippe LeFloch, Philippe G. LeFloch · 2 citations
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
- On the derivation of the homogeneous kinetic wave equation
2019/12/22 by Charles Collot, Pierre Germain, Collot, Charles +1 · 2 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
- Global existence for coupled Klein-Gordon equations with different\n speeds
2010/05/28 by Pierre Germain, Germain, Pierre · 2 citations
Engineering · Mathematics · Physics and Astronomy · #35L70 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Stability and Controllability of Differential Equations
- The second iterate for the Navier-Stokes equation
2008/06/27 by Pierre Germain, Germain, Pierre · 1 citation
Engineering · Mathematics · #35Q30 #42B25 #42B99 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
- Nonlinear resonances with a potential: Multilinear estimates and an\n application to NLS
2013/03/18 by Pierre Germain, Germain, Pierre, Zaher Hani +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #35Q30 #76A05 #82C31 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics #Stability and Controllability of Differential Equations
- Local Well-posedness for the Kinetic MMT Model
2023/10/18 by Pierre Germain, Germain, Pierre, Joonhyun La +3 · 2 citations
Mathematics · Engineering · #Gas Dynamics and Kinetic Theory #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics
- Bounds for spectral projectors on generic tori
2022/07/06 by Pierre Germain, Germain, Pierre, Simon L. Rydin Myerson +1 · 1 citation
Mathematics · Physics and Astronomy · #11D75 #11H06 #11L07 (Primary) 42B15 #11P21 (Secondary) #42A45 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
- Compactons and their variational properties for degenerate KdV and NLS\n in dimension 1
2017/09/14 by Pierre Germain, Benjamin Harrop‐Griffiths, Germain, Pierre +3 · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Advanced Mathematical Physics Problems