İnci, Hasan On the local well-posedness of the 1D Green-Naghdi system on Sobolev spaces. (English) Zbl 07794274 Math. Nachr. 297, No. 1, 52-62 (2024). MSC: 35Q35 35Q86 76B15 76B45 86A05 35A01 35A02 PDFBibTeX XMLCite \textit{H. İnci}, Math. Nachr. 297, No. 1, 52--62 (2024; Zbl 07794274) Full Text: DOI OA License
Khorbatly, Bashar Improved local existence result of the Green-Naghdi equations with the Coriolis effect. (English) Zbl 07784797 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113438, 7 p. (2024). MSC: 35Q86 35Q35 76B55 76U60 86A05 35L45 35L60 35B30 35A01 35A02 PDFBibTeX XMLCite \textit{B. Khorbatly}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 239, Article ID 113438, 7 p. (2024; Zbl 07784797) Full Text: DOI
Berjawi, Marwa; ElArwadi, Toufic; Israwi, Samer A shallow water modeling with the Coriolis effect coupled with the surface tension. (English) Zbl 1517.35174 Monatsh. Math. 201, No. 4, 975-1002 (2023). MSC: 35Q35 35Q31 35Q86 76B03 76B15 76B45 76U60 86A05 35A01 35A02 PDFBibTeX XMLCite \textit{M. Berjawi} et al., Monatsh. Math. 201, No. 4, 975--1002 (2023; Zbl 1517.35174) Full Text: DOI
Zhao, Binbin; Zhang, Tianyu; Duan, Wenyang; Wang, Zhan; Guo, Xinyu; Hayatdavoodi, Masoud; Ertekin, R. Cengiz Internal solitary waves generated by a moving bottom disturbance. (English) Zbl 1528.76016 J. Fluid Mech. 963, Paper No. A32, 26 p. (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 76B55 76B70 86A05 PDFBibTeX XMLCite \textit{B. Zhao} et al., J. Fluid Mech. 963, Paper No. A32, 26 p. (2023; Zbl 1528.76016) Full Text: DOI
Liu, Yue; Yang, Xiongfeng The long-wave approximation for the Green-Naghdi system with the weak Coriolis effect. (English) Zbl 1501.35299 J. Math. Fluid Mech. 24, No. 4, Paper No. 101, 24 p. (2022). MSC: 35Q31 35Q35 76U60 76B15 76M45 86A05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Yang}, J. Math. Fluid Mech. 24, No. 4, Paper No. 101, 24 p. (2022; Zbl 1501.35299) Full Text: DOI
Lteif, Ralph; Khorbatly, Bashar Medium amplitude model for internal waves over large topography variation. (English) Zbl 1495.76028 J. Math. Anal. Appl. 514, No. 2, Article ID 126364, 28 p. (2022). Reviewer: Vincent Duchêne (Rennes) MSC: 76B55 76M45 35Q35 86A05 PDFBibTeX XMLCite \textit{R. Lteif} and \textit{B. Khorbatly}, J. Math. Anal. Appl. 514, No. 2, Article ID 126364, 28 p. (2022; Zbl 1495.76028) Full Text: DOI arXiv
Paulsen, Martin O.; Kalisch, Henrik A nonlinear formulation of radiation stress and applications to cnoidal shoaling. (English) Zbl 1512.76020 Water Waves 4, No. 1, 65-90 (2022). MSC: 76B15 76M99 35Q53 86A05 PDFBibTeX XMLCite \textit{M. O. Paulsen} and \textit{H. Kalisch}, Water Waves 4, No. 1, 65--90 (2022; Zbl 1512.76020) Full Text: DOI arXiv
Fan, Lili; Gao, Hongjun; Li, Haochen On the geophysical Green-Naghdi system. (English) Zbl 1487.35316 J. Nonlinear Sci. 32, No. 2, Paper No. 21, 30 p. (2022). Reviewer: Patrícia Nunes da Silva (Rio de Janeiro) MSC: 35Q35 35Q86 76U05 86A05 35B30 35C07 35A01 35A02 76M60 PDFBibTeX XMLCite \textit{L. Fan} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 21, 30 p. (2022; Zbl 1487.35316) Full Text: DOI
Desjardins, Benoît; Lannes, David; Saut, Jean-Claude Normal mode decomposition and dispersive and nonlinear mixing in stratified fluids. (English) Zbl 1501.35293 Water Waves 3, No. 1, 153-192 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35Q86 76B55 76B15 76B70 76B03 76T30 76T06 76U60 86A05 PDFBibTeX XMLCite \textit{B. Desjardins} et al., Water Waves 3, No. 1, 153--192 (2021; Zbl 1501.35293) Full Text: DOI arXiv
Lannes, D. Modeling shallow water waves. (English) Zbl 1442.35462 Nonlinearity 33, No. 5, R1-R57 (2020). MSC: 35Q86 35Q53 86A05 35L55 35L67 76B15 76-02 35Q31 PDFBibTeX XMLCite \textit{D. Lannes}, Nonlinearity 33, No. 5, R1--R57 (2020; Zbl 1442.35462) Full Text: DOI arXiv
Haidar, Mohammad; El Arwadi, Toufic; Israwi, Samer Existence of a regular solution for 1D Green-Naghdi equations with surface tension at a large time instant. (English) Zbl 1499.76024 Bound. Value Probl. 2018, Paper No. 136, 20 p. (2018). MSC: 76B15 35Q35 35B25 86A05 35Q05 PDFBibTeX XMLCite \textit{M. Haidar} et al., Bound. Value Probl. 2018, Paper No. 136, 20 p. (2018; Zbl 1499.76024) Full Text: DOI
Lannes, David; Métivier, Guy The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. (Le problème du rivage pour les équations de Saint-Venant et de Green-Naghdi uni-dimensionnelles.) (English. French summary) Zbl 1406.35490 J. Éc. Polytech., Math. 5, 455-518 (2018). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35R35 35Q35 35F61 35J70 35L80 35Q53 76B15 35Q86 86A05 PDFBibTeX XMLCite \textit{D. Lannes} and \textit{G. Métivier}, J. Éc. Polytech., Math. 5, 455--518 (2018; Zbl 1406.35490) Full Text: DOI arXiv
Jiang, Bo; Bi, Qinsheng Classification of traveling wave solutions to the Green-Naghdi model. (English) Zbl 1524.35540 Wave Motion 73, 45-56 (2017). MSC: 35Q53 35C07 76B15 86A05 PDFBibTeX XMLCite \textit{B. Jiang} and \textit{Q. Bi}, Wave Motion 73, 45--56 (2017; Zbl 1524.35540) Full Text: DOI
Bourdarias, Christian; Gerbi, Stéphane; Lteif, Ralph A numerical scheme for the propagation of internal waves in an oceanographic model. (English) Zbl 1409.86001 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 200, 101-108 (2017). MSC: 86-08 65M08 76B55 76M12 86A05 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Springer Proc. Math. Stat. 200, 101--108 (2017; Zbl 1409.86001) Full Text: DOI
Duchêne, V.; Israwi, S.; Talhouk, R. A new class of two-layer Green-Naghdi systems with improved frequency dispersion. (English) Zbl 1356.35175 Stud. Appl. Math. 137, No. 3, 356-415 (2016). MSC: 35Q35 76B70 86A05 76B15 35Q86 PDFBibTeX XMLCite \textit{V. Duchêne} et al., Stud. Appl. Math. 137, No. 3, 356--415 (2016; Zbl 1356.35175) Full Text: DOI arXiv
Lannes, D.; Marche, F. A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. (English) Zbl 1351.76114 J. Comput. Phys. 282, 238-268 (2015). MSC: 76M12 76M20 65M08 65M06 86A05 PDFBibTeX XMLCite \textit{D. Lannes} and \textit{F. Marche}, J. Comput. Phys. 282, 238--268 (2015; Zbl 1351.76114) Full Text: DOI
Pravica, D. W.; Randriampiry, N.; Spurr, M. J. \(q\)-advanced models for tsunami and rogue waves. (English) Zbl 1253.86004 Abstr. Appl. Anal. 2012, Article ID 414060, 26 p. (2012). MSC: 86A05 76B15 35Q35 42C40 PDFBibTeX XMLCite \textit{D. W. Pravica} et al., Abstr. Appl. Anal. 2012, Article ID 414060, 26 p. (2012; Zbl 1253.86004) Full Text: DOI
Bonneton, P.; Barthelemy, E.; Chazel, F.; Cienfuegos, R.; Lannes, D.; Marche, F.; Tissier, M. Recent advances in Serre-Green-Naghdi modelling for wave transformation, breaking and runup processes. (English) Zbl 1258.76033 Eur. J. Mech., B, Fluids 30, No. 6, 589-597 (2011). MSC: 76B15 86A05 PDFBibTeX XMLCite \textit{P. Bonneton} et al., Eur. J. Mech., B, Fluids 30, No. 6, 589--597 (2011; Zbl 1258.76033) Full Text: DOI arXiv
Israwi, Samer Large time existence for 1D Green-Naghdi equations. (English) Zbl 1381.86012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 81-93 (2011). MSC: 86A05 76B15 35A35 35Q86 PDFBibTeX XMLCite \textit{S. Israwi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 81--93 (2011; Zbl 1381.86012) Full Text: DOI arXiv
Constantin, Adrian On the relevance of soliton theory to tsunami modelling. (English) Zbl 1231.76027 Wave Motion 46, No. 6, 420-426 (2009). MSC: 76B15 86A05 35Q51 PDFBibTeX XMLCite \textit{A. Constantin}, Wave Motion 46, No. 6, 420--426 (2009; Zbl 1231.76027) Full Text: DOI