Pierre Germain

Applied Mathematics · 2006–2017

A researcher in the Science corpus: 11 papers; trusts 28 researchers and is trusted by 36 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 52 citations into it; #643 of 7,620 by trust here, #991 by citations
• Mathematical Physics — 52 citations into it; #574 of 8,562 by trust here, #851 by citations
• Statistical and Nonlinear Physics — 20 citations into it; #1,509 of 10,127 by trust here, #2,578 by citations
• Computational Mechanics — 17 citations into it
• Control and Systems Engineering — 17 citations into it; #880 of 8,257 by trust here, #3,516 by citations
• Computational Theory and Mathematics — 6 citations into it
• Atomic and Molecular Physics, and Optics — 5 citations into it
• Finance — 5 citations into it

Whom Pierre Germain trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. P. Lemari'e-Rieusset
2. Nader Masmoudi
3. Eduard Feireisl
4. Herbert Koch
5. Jalal Shatah
6. Terence Tao
7. H. Kozono
8. D. Christodoulou
9. D. Tataru
10. Raphaël Danchin

Who trusts Pierre Germain overall

1. Sijue Wu
2. Eduard Feireisl
3. Yan Guo
4. Nader Masmoudi
5. Jean Bourgain
6. Qionglei Chen
7. Thomas Alazard
8. J. Kato
9. Yuan Cai
10. Benoit Pausader

Papers from Pierre Germain's perspective

Ordered by how strongly the researchers Pierre Germain trusts endorse each paper. Same corpus, a different order for every researcher.

1. Fourier Analysis and Nonlinear Partial Differential Equations
2. Well-posedness for the Navier–Stokes Equations
3. Geometry and a priori estimates for free boundary problems of the Euler's equation
4. Semilinear Schrodinger Equations
5. Nonlinear dispersive equations : local and global analysis
6. Recent Developments in the Navier-Stokes Problem
7. Global Solutions for 3D Quadratic Schrödinger Equations
8. Global regularity for some classes of large solutions to the Navier-Stokes equations
9. Well-posedness of the free-surface incompressible Euler equations with or without surface tension
10. Dynamics of Viscous Compressible Fluids

Their papers

• Strichartz estimates for the Schrödinger equation on irrational tori (2017) — 49 citations
• Optimal local well-posedness theory for the kinetic wave equation (2017) — 54 citations
• On the stability threshold for the 3D Couette flow in Sobolev regularity (2015) — 189 citations
• Asymptotic stability of solitons for mKdV (2015) — 78 citations
• Global existence for the Euler-Maxwell system (2011) — 135 citations
• Global solutions for the gravity water waves equation in dimension 3 (2009) — 384 citations
• The second iterate for the Navier–Stokes equation (2008) — 84 citations
• Weak–Strong Uniqueness for the Isentropic Compressible Navier–Stokes System (2008) — 163 citations
• Global Solutions for 3D Quadratic Schrödinger Equations (2008) — 178 citations
• Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO−1 (2006) — 101 citations
• Multipliers, paramultipliers, and weak-strong uniqueness for the Navier-Stokes equations (2006) — 88 citations