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Pierre Germain

Professor of Mathematics

20052019
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Fingerprint Weighted list of dominant concepts in the researcher's publications (titles and abstracts).

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Global Solution Mathematics
Dispersive Estimates Mathematics
Global Existence Mathematics
Water Waves Mathematics
Quadratic equation Mathematics
Space-time Mathematics
Uniqueness Mathematics
Nonlinear Equations Mathematics

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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

Growth of Solutions to NLS on Irrational Tori

Deng, Y. & Germain, P., Jan 1 2019, In : International Mathematics Research Notices. 2019, 9, p. 2919-2950 32 p.

Research output: Contribution to journalArticle

Torus
Strichartz Estimates
Quintic
Nonlinear Equations
Nonlinearity

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