Collot, Charles; Dietert, Helge; Germain, Pierre Stability and cascades for the Kolmogorov-Zakharov spectrum of wave turbulence. (English) Zbl 07804740 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024). MSC: 35Q55 35Q41 35Q20 82C40 35B35 42B10 76F55 PDFBibTeX XMLCite \textit{C. Collot} et al., Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 7, 31 p. (2024; Zbl 07804740) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan On 1d quadratic Klein-Gordon equations with a potential and symmetries. (English) Zbl 1508.35120 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 17, 39 p. (2023). MSC: 35Q53 35B65 35J10 35P25 35L71 PDFBibTeX XMLCite \textit{P. Germain} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 17, 39 p. (2023; Zbl 1508.35120) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio Quadratic Klein-Gordon equations with a potential in one dimension. (English) Zbl 1495.35126 Forum Math. Pi 10, Paper No. e17, 172 p. (2022). MSC: 35L71 35P25 35Q56 42B37 PDFBibTeX XMLCite \textit{P. Germain} and \textit{F. Pusateri}, Forum Math. Pi 10, Paper No. e17, 172 p. (2022; Zbl 1495.35126) Full Text: DOI arXiv
Buckmaster, T.; Germain, P.; Hani, Z.; Shatah, J. Onset of the wave turbulence description of the longtime behavior of the nonlinear Schrödinger equation. (English) Zbl 1484.35345 Invent. Math. 225, No. 3, 787-855 (2021). MSC: 35Q55 35Q20 35B45 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{T. Buckmaster} et al., Invent. Math. 225, No. 3, 787--855 (2021; Zbl 1484.35345) Full Text: DOI arXiv
Germain, Pierre; Ionescu, Alexandru D.; Tran, Minh-Binh Optimal local well-posedness theory for the kinetic wave equation. (English) Zbl 1442.35287 J. Funct. Anal. 279, No. 4, Article ID 108570, 27 p. (2020). MSC: 35Q20 37K06 35Q55 35C07 45G05 35B40 35D30 35A01 35A02 82C40 82C10 PDFBibTeX XMLCite \textit{P. Germain} et al., J. Funct. Anal. 279, No. 4, Article ID 108570, 27 p. (2020; Zbl 1442.35287) Full Text: DOI arXiv
Germain, Pierre; Harrop-Griffiths, Benjamin; Marzuola, Jeremy L. Compactons and their variational properties for degenerate KdV and NLS in dimension 1. (English) Zbl 1435.35334 Q. Appl. Math. 78, No. 1, 1-32 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35Q55 35C07 35C08 PDFBibTeX XMLCite \textit{P. Germain} et al., Q. Appl. Math. 78, No. 1, 1--32 (2020; Zbl 1435.35334) Full Text: DOI arXiv
Germain, Pierre; Pusateri, Fabio; Rousset, Frédéric The nonlinear Schrödinger equation with a potential. (English) Zbl 1406.35355 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477-1530 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B34 35P25 35B40 42A38 PDFBibTeX XMLCite \textit{P. Germain} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 6, 1477--1530 (2018; Zbl 1406.35355) Full Text: DOI arXiv