Pierre Germain

Professor of Mathematics

20052019
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  • 2 Similar Profiles
Global Solution Mathematics
Dispersive Estimates Mathematics
Global Existence Mathematics
Water Waves Mathematics
Quadratic equation Mathematics
Water waves Engineering & Materials Science
Space-time Mathematics
Nonlinear equations Engineering & Materials Science

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Research Output 2005 2019

Analysis of (CR) in higher dimension

Buckmaster, T., Germain, P., Hani, Z. & Shatah, J., Jan 1 2019, In : International Mathematics Research Notices. 2019, 4, p. 1265-1280 16 p.

Research output: Contribution to journalArticle

Higher Dimensions
Local Well-posedness
Torus
Nonlinear Equations

Existence and Uniqueness of Solutions for a Quasilinear KdV Equation with Degenerate Dispersion

Germain, P., Harrop-Griffiths, B. & Marzuola, J. L., Jan 1 2019, In : Communications on Pure and Applied Mathematics.

Research output: Contribution to journalArticle

Shallow Water Waves
Quasilinear Equations
Sedimentation
KdV Equation
Water waves

Long wave limit for Schrödinger maps

Germain, P. & Rousset, F., Jan 1 2019, In : Journal of the European Mathematical Society. 21, 8, p. 2517-2602 86 p.

Research output: Contribution to journalArticle

Gross-Pitaevskii Equation
Lagrangian Submanifold
Tangent Space
Type Systems
Korteweg-de Vries Equation

Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions

Bedrossian, J., Germain, P. & Masmoudi, N., Jan 1 2019, In : Bulletin of the American Mathematical Society. 56, 3, p. 373-414 42 p.

Research output: Contribution to journalArticle

Open Access
Couette Flow
Asymptotic stability
Mathematical Analysis
Asymptotic Stability
Reynolds number

Effective Dynamics of the Nonlinear Schrödinger Equation on Large Domains

Buckmaster, T., Germain, P., Hani, Z. & Shatah, J., Jan 1 2018, (Accepted/In press) In : Communications on Pure and Applied Mathematics.

Research output: Contribution to journalArticle

Nonlinear equations
Nonlinear Equations
Time Scales
Number theory
Hardy-Littlewood Method