Faculty

Institution

Unit

Venue

Pierre Germain

Professor of Mathematics

New York University

Affiliations

Arts & Science

Mathematics

Courant Institute of Mathematical Sciences

Mathematics

Pierre Germain is currently serving as an Arts & Science Professor of Mathematics at New York University.

Honors

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Experiences

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Education

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Pierre Germain

New York University

Professor of Mathematics

You can click a keyword to filter the displayed items

applied mathematics fluid dynamics mathematics applied physics mathematical analysis mathematical physics fluid mechanics analytic number theory theoretical analysis pure mathematics stability boundary value problems nonlinear science engineering oceanography functional analysis hydrodynamic stability nonlinear schrodinger equation mathematical sciences numerical simulations computational fluid dynamics nonlinear analysis spectral theory compressible flows wave motion global analysis weak-strong uniqueness global existence navier-stokes equations bilinear dispersive estimates self-similar solutions ocean sciences fluid flow nonlinear dynamics wave theory fourier analysis wave propagation infinite dimensional problem nonlinear wave propagation integrable systems elliptic equations global solutions couette flow continuous resonant equation quadratic klein-gordon equations irrational tori kinetic wave equation space-time resonances geophysical research ocean engineering water science fluid science engineering science numerical mathematics plasma instabilities physical oceanography engineering mathematics classical systems regularization (mathematics) potential theory lower bounds intermediate representation intermediate host specific resistance critical phenomena chaos theory free boundary problems large scale structure method of fundamental solution wave mechanics dynamic analysis infinite dimensional analysis harmonic space stability threshold sobolev regularity capillary water waves harmonic analysis wave nonlinearity nonlinear phenomena nonlinear dispersive equations

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Stability of Solitary Waves for One-Dimensional Nonlinear SchröDinger Equations. Journal of the European Mathematical Society (2025)

nonlinear phenomenawave mechanicsnonlinear systemsasymptotic analysisnonlinear analysisnonlinear sciencenonlinear wave propagationwave theorywave nonlinearitypartial differential equationsintegrable systemsnonlinear dynamicsdifferential equationsapplied mathematicssolitary waves

Derivation of the Kinetic Wave Equation for Quadratic Dispersive Problems in the Inhomogeneous Setting. American Journal of Mathematics (2025)

Ioakeim AmpatzoglouCharles CollotPierre Germain

kinetic wave equationfluid dynamicsapplied physicsinhomogeneous settingapplied mathematicsquadratic dispersive problems

Entropy Maximizers for Kinetic Wave Equations Set on Tori. Bulletin of the London Mathematical Society (2025)

nonlinear phenomenaentropy productionnonlinear sciencenonlinear hyperbolic problemapplied mathematicsentropy maximizersstochastic partial differential equationskam theoryentropy

L 2 to L P Bounds for Spectral Projectors on the Euclidean Two-Dimensional Torus. Proceedings of the Edinburgh Mathematical Society (2024)

Ciprian DemeterPierre Germain

spectral projectorseuclidean two-dimensional torusmathematical physicsmathematicsapplied mathematicsmathematical sciences

Local Well-Posedness for the Kinetic Mmt Model. Communications in Mathematical Physics (2024)

Pierre GermainJoonhyun LaKatherine Zhiyuan Zhang

kinetic mmt modellocal well-posednessmodeling and simulationapplied physicsapplied mathematics

On the Stability of the Abrikosov Lattice in the Lowest Landau Level. arXiv (Cornell University) (2024)

Pierre GermainValentin SchwinteLaurent Thomann

stabilityapplied physicscondensed matter physicsabrikosov latticelattice theory

Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence. Archive for Rational Mechanics and Analysis (2024)

Charles CollotHelge DietertPierre Germain

hydrodynamic stabilityoceanographywave turbulencefluid dynamicskolmogorov-zakharov spectrumstabilityapplied physicschaos theory

Standing and Traveling Waves in a Minimal Nonlinearly Dispersive Lattice Model. Physica D Nonlinear Phenomena (2024)

Ross ParkerPierre GermainJesús Cuevas-MaraverAlejandro AcevesP.G. Kevrekidis

wave propagationwave motionvibrationsphysicsapplied physicslattice theorymaterials science

On 1D Quadratic Klein–Gordon Equations With a Potential and Symmetries. Archive for Rational Mechanics and Analysis (2023)

Pierre GermainFabio PusateriKatherine Zhiyuan Zhang

mathematical analysisapplied mathematicsquadratic klein-gordon equations

Spectral Projectors, Resolvent, and Fourier Restriction on the Hyperbolic Space. Journal of Functional Analysis (2023)

spectral projectorsresolvent kernelhyperbolic equationsoperator theorymathematicsharmonic spacefourier analysisgeometric analysisfunction spacesspectral theoryapplied mathematics

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Pierre Germain

Professor of Mathematics

New York University

Affiliations

Arts & Science

Mathematics

Courant Institute of Mathematical Sciences

Mathematics

Pierre Germain is currently serving as an Arts & Science Professor of Mathematics at New York University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Pierre Germain

New York University

Professor of Mathematics

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Stability of Solitary Waves for One-Dimensional Nonlinear SchröDinger Equations. Journal of the European Mathematical Society (2025)

Derivation of the Kinetic Wave Equation for Quadratic Dispersive Problems in the Inhomogeneous Setting. American Journal of Mathematics (2025)

Ioakeim AmpatzoglouCharles CollotPierre Germain

kinetic wave equationfluid dynamicsapplied physicsinhomogeneous settingapplied mathematicsquadratic dispersive problems

Entropy Maximizers for Kinetic Wave Equations Set on Tori. Bulletin of the London Mathematical Society (2025)

nonlinear phenomenaentropy productionnonlinear sciencenonlinear hyperbolic problemapplied mathematicsentropy maximizersstochastic partial differential equationskam theoryentropy

L 2 to L P Bounds for Spectral Projectors on the Euclidean Two-Dimensional Torus. Proceedings of the Edinburgh Mathematical Society (2024)

Ciprian DemeterPierre Germain

spectral projectorseuclidean two-dimensional torusmathematical physicsmathematicsapplied mathematicsmathematical sciences

Local Well-Posedness for the Kinetic Mmt Model. Communications in Mathematical Physics (2024)

Pierre GermainJoonhyun LaKatherine Zhiyuan Zhang

kinetic mmt modellocal well-posednessmodeling and simulationapplied physicsapplied mathematics

On the Stability of the Abrikosov Lattice in the Lowest Landau Level. arXiv (Cornell University) (2024)

Pierre GermainValentin SchwinteLaurent Thomann

stabilityapplied physicscondensed matter physicsabrikosov latticelattice theory

Stability and Cascades for the Kolmogorov–Zakharov Spectrum of Wave Turbulence. Archive for Rational Mechanics and Analysis (2024)

Charles CollotHelge DietertPierre Germain

hydrodynamic stabilityoceanographywave turbulencefluid dynamicskolmogorov-zakharov spectrumstabilityapplied physicschaos theory

Standing and Traveling Waves in a Minimal Nonlinearly Dispersive Lattice Model. Physica D Nonlinear Phenomena (2024)

Ross ParkerPierre GermainJesús Cuevas-MaraverAlejandro AcevesP.G. Kevrekidis

wave propagationwave motionvibrationsphysicsapplied physicslattice theorymaterials science

On 1D Quadratic Klein–Gordon Equations With a Potential and Symmetries. Archive for Rational Mechanics and Analysis (2023)

Pierre GermainFabio PusateriKatherine Zhiyuan Zhang

mathematical analysisapplied mathematicsquadratic klein-gordon equations

Spectral Projectors, Resolvent, and Fourier Restriction on the Hyperbolic Space. Journal of Functional Analysis (2023)

spectral projectorsresolvent kernelhyperbolic equationsoperator theorymathematicsharmonic spacefourier analysisgeometric analysisfunction spacesspectral theoryapplied mathematics

1
2
3
4
5
8
10 / page

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Institution

New York University

nonlinear hyperbolic problem

hyperbolic equation

Mat Johnson

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University of Kansas

mathematical physics

nonlinear phenomena

Tristan Buckmaster

Institution

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hydrodynamic stability

fluid equations

Guido De Philippis

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spectral analysis

Mohammed Ziane

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incompressible flow

rational mechanic

Jared Speck

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Vanderbilt University

applied mathematical modelling

geometry

Susan Friedlander

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partial differential equation

hydrodynamic stability

Gigliola Staffilani

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Massachusetts Institute of Technology

applied mathematics

mathematics

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University of Illinois Chicago

applied pde

numerical treatment

Gieri Simonett

Institution

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calculus of variation

nonlinear analysis