1. A parametric tensor ROM for the shallow water dam break problem
   2025/06/24 by Mizan, Md Rezwan Bin, Olshanskii, Maxim, Timofeyev, Ilya · 1 citation
   #65M60 #76B15 #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Numerical Analysis (math.NA)
2. Gravity water waves over constant vorticity flows: From laminar flows to touching waves
   2025/05/01 by Gonçalves, Francisco · 2 citations
   #35Q31 #35Q35 #76B03 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Bifurcation of gravity-capillary Stokes waves with constant vorticity
   2025/01/24 by Barbieri, T., Berti, M., Maspero, A. +1 · 1 citation
   #35C07 #37K50 #58E07 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. Overhanging solitary water waves
   2024/09/02 by Dávila, Juan, del Pino, Manuel, Musso, Monica +1 · 3 citations
   #35Q35 #35R35 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. On the Korteweg-de Vries limit for the Boussinesq equation
   2024/03/25 by Hong, Younghun, Yang, Changhun · 1 citation
   #35Q53 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
6. The semi-analytic theory and computation of finite-depth standing water waves
   2024/01/01 by Ahmad Abassi, Jon Wilkening, Abassi, Ahmad +1 · 1 citation
   Computer Science · Earth and Planetary Sciences · Engineering · #35C20 #37G15 #65N22 #65N35 #68W10 #76B15 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics and Gravity Measurements #Numerical Analysis (math.NA) #Numerical Methods and Algorithms
7. Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows
   2023/07/04 by Groves, Mark D., Nilsson, Dag, Pasquali, Stefano +1 · 3 citations
   #47G30 #76B15 #76B45 #Analysis of PDEs (math.AP) #FOS: Mathematics
8. Boussinesq's equation for water waves: the soliton resolution conjecture for Sector IV
   2023/03/01 by Charlier, Christophe, Lenells, Jonatan · 2 citations
   #35C08 #35G25 #35Q15 #37K40 #76B15 #Analysis of PDEs (math.AP) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
9. On Boussinesq's equation for water waves
   2022/04/05 by C. Charlier, Charlier, C., J. Lenells +1 · 2 citations
   Computer Science · Earth and Planetary Sciences · #35G25 #35Q15 #37K15 #76B15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Arctic and Antarctic ice dynamics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Ocean Waves and Remote Sensing
10. Well-posedness of a nonlinear shallow water model for an oscillating water column with time-dependent air pressure
    2021/04/23 by Edoardo Bocchi, Bocchi, Edoardo, Jiao He +3 · 1 citation
    Computer Science · Engineering · Mathematics · #35L04 #35Q35 #74F10 #76B15 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
11. Two dimensional gravity waves at low regularity II: Global solutions
    2020/09/24 by Ai, Albert, Ifrim, Mihaela, Tataru, Daniel · 2 citations
    #35Q31 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
12. Peregrine soliton as a limiting behavior of the Kuznetsov-Ma and Akhmediev breathers
    2020/09/01 by N. Karjanto, Karjanto, N. · 2 citations
    Mathematics · Physics and Astronomy · #35C08 #35Q55 #35Q60 #37K40 #76B15 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)
13. Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis
    2020/07/28 by Tong, Shanyin, Vanden-Eijnden, Eric, Stadler, Georg · 1 citation
    #35Q93 #60F10 #60H35 #65K10 #76B15 #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR)
14. A parallel hybrid implementation of the 2D acoustic wave equation
    2020/06/17 by Altybay, Arshyn, Ruzhansky, Michael, Tokmagambetov, Niyaz · 1 citation
    #35L05 #68Q85 #76B15 #Analysis of PDEs (math.AP) #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
15. The KdV equation on the half-line: Time-periodicity and mass transport
    2019/06/12 by Bona, Jerry L., Lenells, Jonatan · 1 citation
    #35B30 #35C15 #35Q53 #37K10 #37K15 #76B15 #86-05 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences
16. Extended lifespan of the fractional BBM equation
    2019/02/17 by Nilsson, Dag · 1 citation
    #35S3 #76B03 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
17. Large-amplitude steady downstream water waves
    2018/11/26 by Constantin, Adrian, Strauss, Walter, Varvaruca, Eugen · 2 citations
    #35B50 #42B37 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
18. Rigorous Asymptotic Models of Water Waves
    2018/06/30 by Cheng, C. H. Arthur, Granero-Belinchon, Rafael, Shkoller, Steve +1 · 1 citation
    #35C20 #65N35 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Numerical Analysis (math.NA)
19. On the local well-posedness for a full dispersion Boussinesq system with\n surface tension
    2018/05/11 by Henrik Kalisch, Didier Pilod, Kalisch, Henrik +1 · 1 citation
    Engineering · Mathematics · #35A01 #35Q53 #76B15 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
20. Stokes waves with constant vorticity: I. numerical computation
    2018/02/21 by Dyachenko, Sergey A., Hur, Vera Mikyoung · 1 citation
    #76B15 #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
21. Well-posedness and dispersive decay of small data solutions for the Benjamin-Ono equation
    2017/01/30 by Ifrim, Mihaela, Tataru, Daniel · 3 citations
    #35Q55 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Finite depth gravity water waves in holomorphic coordinates
    2016/07/08 by Harrop-Griffiths, Benjamin, Ifrim, Mihaela, Tataru, Daniel · 1 citation
    #35Q35 #42B37 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
23. Quasi-periodic standing wave solutions of gravity-capillary water waves
    2016/02/07 by Berti, Massimiliano, Montalto, Riccardo · 2 citations
    #35S05) #37K55 #76B15 #76D45 (37K50 #Analysis of PDEs (math.AP) #FOS: Mathematics
24. Global regularity for 2d water waves with surface tension
    2014/08/19 by Ionescu, Alexandru D., Pusateri, Fabio · 4 citations
    #35Q35 #76B15 #76B45 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics
25. The lifespan of small data solutions in two dimensional capillary water\n waves
    2014/06/20 by Mihaela Ifrim, Ifrim, Mihaela, Daniel Tataru +1 · 2 citations
    Earth and Planetary Sciences · Mathematics · #35Q35 #42B37 #76B15 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing
26. Two dimensional water waves in holomorphic coordinates II: global solutions
    2014/04/30 by Ifrim, Mihaela, Tataru, Daniel · 1 citation
    #35Q35 #42B37 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
27. Two dimensional water waves in holomorphic coordinates
    2014/01/07 by Hunter, John, Ifrim, Mihaela, Tataru, Daniel · 2 citations
    #35Q35 #42B37 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
28. Global solutions for the gravity water waves system in 2d
    2013/03/21 by Ionescu, Alexandru D., Pusateri, Fabio · 3 citations
    #35Q31 #35Q35 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics
29. Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents
    2012/07/21 by Kozlov, Vladimir, Kuznetsov, Nikolay · 1 citation
    #35Q35 #76B15 #FOS: Physical sciences #Mathematical Physics (math-ph)
30. Steady water waves with multiple critical layers
    2010/04/29 by Ehrnström, Mats, Escher, Joachim, Wahlén, Erik · 2 citations
    #35Q35 #76B15 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

more