Berti, Massimiliano; Franzoi, Luca; Maspero, Alberto Pure gravity traveling quasi-periodic water waves with constant vorticity. (English) Zbl 07793220 Commun. Pure Appl. Math. 77, No. 2, 990-1064 (2024). MSC: 76-XX 83-XX PDFBibTeX XMLCite \textit{M. Berti} et al., Commun. Pure Appl. Math. 77, No. 2, 990--1064 (2024; Zbl 07793220) Full Text: DOI arXiv
Berti, Massimiliano; Maspero, Alberto; Murgante, Federico Hamiltonian paradifferential Birkhoff normal form for water waves. (English) Zbl 07765039 Regul. Chaotic Dyn. 28, No. 4-5, 543-560 (2023). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{M. Berti} et al., Regul. Chaotic Dyn. 28, No. 4--5, 543--560 (2023; Zbl 07765039) Full Text: DOI
Said, Ayman Rimah On the Cauchy problem for dispersive Burgers-type equations. (English) Zbl 1526.35119 Indiana Univ. Math. J. 72, No. 4, 1667-1715 (2023). MSC: 35F25 35B45 PDFBibTeX XMLCite \textit{A. R. Said}, Indiana Univ. Math. J. 72, No. 4, 1667--1715 (2023; Zbl 1526.35119) Full Text: DOI arXiv
Berti, Massimiliano; Hassainia, Zineb; Masmoudi, Nader Time quasi-periodic vortex patches of Euler equation in the plane. (English) Zbl 07724113 Invent. Math. 233, No. 3, 1279-1391 (2023). MSC: 76B47 76B03 35Q31 PDFBibTeX XMLCite \textit{M. Berti} et al., Invent. Math. 233, No. 3, 1279--1391 (2023; Zbl 07724113) Full Text: DOI arXiv
Clamond, Didier Explicit Dirichlet-Neumann operator for water waves. (English) Zbl 1515.76024 J. Fluid Mech. 950, Paper No. A33, 14 p. (2022). MSC: 76B15 76M40 PDFBibTeX XMLCite \textit{D. Clamond}, J. Fluid Mech. 950, Paper No. A33, 14 p. (2022; Zbl 1515.76024) Full Text: DOI arXiv
Chen, Yin; Geng, Jiansheng Linearly stable KAM tori for higher dimensional Kirchhoff equations. (English) Zbl 1508.35180 J. Differ. Equations 315, 222-253 (2022). MSC: 35Q74 37K55 35B35 35A01 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Geng}, J. Differ. Equations 315, 222--253 (2022; Zbl 1508.35180) Full Text: DOI
Baldi, Pietro; Montalto, Riccardo Quasi-periodic incompressible Euler flows in 3D. (English) Zbl 1483.37091 Adv. Math. 384, Article ID 107730, 74 p. (2021). MSC: 37K55 35Q31 35Q35 76B03 76D03 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{R. Montalto}, Adv. Math. 384, Article ID 107730, 74 p. (2021; Zbl 1483.37091) Full Text: DOI arXiv
Feola, Roberto; Iandoli, Felice Long time existence for fully nonlinear NLS with small Cauchy data on the circle. (English) Zbl 1475.37081 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 109-182 (2021). MSC: 37K55 35S50 35Q55 PDFBibTeX XMLCite \textit{R. Feola} and \textit{F. Iandoli}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 109--182 (2021; Zbl 1475.37081) Full Text: DOI arXiv
Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto Traveling quasi-periodic water waves with constant vorticity. (English) Zbl 1462.35262 Arch. Ration. Mech. Anal. 240, No. 1, 99-202 (2021). MSC: 35Q31 76B15 35B10 35B65 35B32 PDFBibTeX XMLCite \textit{M. Berti} et al., Arch. Ration. Mech. Anal. 240, No. 1, 99--202 (2021; Zbl 1462.35262) Full Text: DOI arXiv
Chatzikaleas, Athanasios On time periodic solutions to the conformal cubic wave equation on the Einstein cylinder. (English) Zbl 1454.81094 J. Math. Phys. 61, No. 11, 111505, 32 p. (2020). MSC: 81Q35 35Q55 53C25 81Q15 35B32 35G55 PDFBibTeX XMLCite \textit{A. Chatzikaleas}, J. Math. Phys. 61, No. 11, 111505, 32 p. (2020; Zbl 1454.81094) Full Text: DOI arXiv
Berti, Massimiliano; Montalto, Riccardo Quasi-periodic standing wave solutions of gravity-capillary water waves. (English) Zbl 1443.76001 Memoirs of the American Mathematical Society 1273. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4069-5/pbk; 978-1-4704-5654-2/ebook). v, 171 p. (2020). Reviewer: Panagiotis Koumantos (Athína) MSC: 76-02 76B15 76B45 76U60 35Q35 PDFBibTeX XMLCite \textit{M. Berti} and \textit{R. Montalto}, Quasi-periodic standing wave solutions of gravity-capillary water waves. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1443.76001) Full Text: DOI arXiv
Wilkening, Jon Harmonic stability of standing water waves. (English) Zbl 1433.76021 Q. Appl. Math. 78, No. 2, 219-260 (2020). MSC: 76B07 76B15 65M70 76M22 PDFBibTeX XMLCite \textit{J. Wilkening}, Q. Appl. Math. 78, No. 2, 219--260 (2020; Zbl 1433.76021) Full Text: DOI arXiv
Disconzi, Marcelo M.; Kukavica, Igor; Tuffaha, Amjad A Lagrangian interior regularity result for the incompressible free boundary Euler equation with surface tension. (English) Zbl 1423.35464 SIAM J. Math. Anal. 51, No. 5, 3982-4022 (2019). MSC: 35R35 35Q31 PDFBibTeX XMLCite \textit{M. M. Disconzi} et al., SIAM J. Math. Anal. 51, No. 5, 3982--4022 (2019; Zbl 1423.35464) Full Text: DOI arXiv
Disconzi, Marcelo M.; Kukavica, Igor A priori estimates for the free-boundary Euler equations with surface tension in three dimensions. (English) Zbl 1421.35260 Nonlinearity 32, No. 9, 3369-3405 (2019). MSC: 35Q31 35R37 35B45 35B65 76B45 PDFBibTeX XMLCite \textit{M. M. Disconzi} and \textit{I. Kukavica}, Nonlinearity 32, No. 9, 3369--3405 (2019; Zbl 1421.35260) Full Text: DOI arXiv
Feola, R.; Iandoli, F. Local well-posedness for quasi-linear NLS with large Cauchy data on the circle. (English) Zbl 1430.35207 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 1, 119-164 (2019). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 37K55 35Q53 PDFBibTeX XMLCite \textit{R. Feola} and \textit{F. Iandoli}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 1, 119--164 (2019; Zbl 1430.35207) Full Text: DOI arXiv
Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo Time quasi-periodic gravity water waves in finite depth. (English) Zbl 1445.76017 Invent. Math. 214, No. 2, 739-911 (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 76B15 35Q35 86A05 PDFBibTeX XMLCite \textit{P. Baldi} et al., Invent. Math. 214, No. 2, 739--911 (2018; Zbl 1445.76017) Full Text: DOI arXiv
Corsi, Livia; Montalto, Riccardo Quasi-periodic solutions for the forced Kirchhoff equation on \(\mathbb T^d\). (English) Zbl 1403.37083 Nonlinearity 31, No. 11, 5075-5109 (2018). MSC: 37K55 35L70 35B15 PDFBibTeX XMLCite \textit{L. Corsi} and \textit{R. Montalto}, Nonlinearity 31, No. 11, 5075--5109 (2018; Zbl 1403.37083) Full Text: DOI arXiv
Foukroun, N.; Ait-Yahia-Djouadi, R.; Hernane-Boukari, D. Solvability of a supercritical free surface flow problem under gravity-capillarity. (English) Zbl 1393.35290 Appl. Anal. 97, No. 10, 1701-1716 (2018). MSC: 35R35 35Q35 76B07 76B45 PDFBibTeX XMLCite \textit{N. Foukroun} et al., Appl. Anal. 97, No. 10, 1701--1716 (2018; Zbl 1393.35290) Full Text: DOI
Baldi, Pietro; Haus, Emanuele; Montalto, Riccardo Controllability of quasi-linear Hamiltonian NLS equations. (English) Zbl 1391.35347 J. Differ. Equations 264, No. 3, 1786-1840 (2018). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 35Q93 93B05 PDFBibTeX XMLCite \textit{P. Baldi} et al., J. Differ. Equations 264, No. 3, 1786--1840 (2018; Zbl 1391.35347) Full Text: DOI arXiv
Ambrose, David M.; Liu, Yang; Siegel, Michael Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension. (English) Zbl 1403.76136 Math. Comput. 86, No. 308, 2745-2775 (2017). MSC: 76M22 65M70 35Q35 65M12 65M15 76S05 PDFBibTeX XMLCite \textit{D. M. Ambrose} et al., Math. Comput. 86, No. 308, 2745--2775 (2017; Zbl 1403.76136) Full Text: DOI
Braaksma, Boele; Iooss, Gérard; Stolovitch, Laurent Proof of quasipatterns for the Swift-Hohenberg equation. (English) Zbl 1373.35042 Commun. Math. Phys. 353, No. 1, 37-67 (2017). Reviewer: Guy Katriel (Haifa) MSC: 35B36 35B32 35K58 35K20 PDFBibTeX XMLCite \textit{B. Braaksma} et al., Commun. Math. Phys. 353, No. 1, 37--67 (2017; Zbl 1373.35042) Full Text: DOI
Montalto, Riccardo Quasi-periodic solutions of forced Kirchhoff equation. (English) Zbl 1373.37166 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 1, Paper No. 9, 71 p. (2017). Reviewer: Evgeniy Panov (Novgorod) MSC: 37K55 35L72 35B15 PDFBibTeX XMLCite \textit{R. Montalto}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 1, Paper No. 9, 71 p. (2017; Zbl 1373.37166) Full Text: DOI arXiv
Berti, Massimiliano; Montalto, Riccardo Quasi-periodic water waves. (English) Zbl 1360.76046 J. Fixed Point Theory Appl. 19, No. 1, 129-156 (2017). MSC: 76B15 37K55 76D45 37K50 35S05 PDFBibTeX XMLCite \textit{M. Berti} and \textit{R. Montalto}, J. Fixed Point Theory Appl. 19, No. 1, 129--156 (2017; Zbl 1360.76046) Full Text: DOI
Alazard, Thomas Controllability and stabilization of water waves. (English) Zbl 1360.35163 Sémin. Laurent Schwartz, EDP Appl. 2015-2016, Exp. No. 7, 17 p. (2016). MSC: 35Q35 93B05 76B15 35R35 PDFBibTeX XMLCite \textit{T. Alazard}, Sémin. Laurent Schwartz, EDP Appl. 2015--2016, Exp. No. 7, 17 p. (2016; Zbl 1360.35163) Full Text: DOI Numdam
Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo KAM for autonomous quasi-linear perturbations of mKdV. (English) Zbl 1339.37073 Boll. Unione Mat. Ital. 9, No. 2, 143-188 (2016). MSC: 37K55 35Q53 35B20 PDFBibTeX XMLCite \textit{P. Baldi} et al., Boll. Unione Mat. Ital. 9, No. 2, 143--188 (2016; Zbl 1339.37073) Full Text: DOI arXiv
Berti, Massimiliano KAM for PDEs. (English) Zbl 1339.37075 Boll. Unione Mat. Ital. 9, No. 2, 115-142 (2016). MSC: 37K55 35B20 37-02 35Q35 35Q55 PDFBibTeX XMLCite \textit{M. Berti}, Boll. Unione Mat. Ital. 9, No. 2, 115--142 (2016; Zbl 1339.37075) Full Text: DOI
Ambrose, David M.; Simpson, Gideon Local existence theory for derivative nonlinear Schrödinger equations with noninteger power nonlinearities. (English) Zbl 1327.35348 SIAM J. Math. Anal. 47, No. 3, 2241-2264 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35A01 35A02 35G25 PDFBibTeX XMLCite \textit{D. M. Ambrose} and \textit{G. Simpson}, SIAM J. Math. Anal. 47, No. 3, 2241--2264 (2015; Zbl 1327.35348) Full Text: DOI arXiv