Wang, Fan; Sheng, Wancheng; Hu, Yanbo; Zhang, Qinglong The Riemann problem for two-layer shallow water equations with bottom topography. (English) Zbl 07960701 Adv. Nonlinear Anal. 13, Article ID 20240058, 15 p. (2024). MSC: 35L40 35L65 76L05 76M12 × Cite Format Result Cite Review PDF Full Text: DOI
Sahoo, Gagan; Martha, S. C. Semi-analytical study of reduction of wave impact on an elastic plate in the presence of a vertical porous structure. (English) Zbl 07951907 Acta Mech. 235, No. 9, 5711-5726 (2024). MSC: 76B15 76S05 76M99 74F10 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo \(H^1\) solutions for a modified Korteweg-de Vries-Burgers type equation. (English) Zbl 07927804 Netw. Heterog. Media 19, No. 2, 724-739 (2024). MSC: 35Q53 35Q35 76B15 76T10 76B25 74K25 35C07 35A01 35A02 35G25 × Cite Format Result Cite Review PDF Full Text: DOI
Saut, Jean-Claude; Sun, Shihan; Wang, Yuexun; Zhang, Yi Wave breaking for the generalized Fornberg-Whitham equation. (English) Zbl 1543.76017 SIAM J. Math. Anal. 56, No. 4, 4440-4465 (2024). MSC: 76B15 76B25 76B03 35Q35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gnevyshev, Vladimir; Badulin, Sergei Deep water waves from oscillating elliptic source. (English) Zbl 1537.76018 Water Waves 5, No. 2-3, 239-256 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 76M45 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Minenkov, D. S.; Votiakova, M. M. Asymptotics of long nonlinear propagating waves in a one-dimensional basin with gentle shores. (English) Zbl 1532.76022 Russ. J. Math. Phys. 30, No. 4, 621-642 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 76M45 35Q35 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Barthwal, R.; Sekhar, T. Raja Existence of solutions to gas expansion problem through a sharp corner for 2-D Euler equations with general equation of state. (English) Zbl 1529.35348 Stud. Appl. Math. 151, No. 1, 141-170 (2023). MSC: 35Q31 76N15 76N10 35C06 35B45 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Xun; Sun, Ying; Wang, Jiadong; Huo, Ruili; Zhou, Ding Nonlinear semi-analytical modeling of liquid sloshing in rectangular container with horizontal baffles. (English) Zbl 1528.76005 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 11, 1973-2004 (2023). MSC: 76B10 76B15 76M45 × Cite Format Result Cite Review PDF Full Text: DOI
Tyvand, Peder A. Wave radiation from bottom vibrations in open-channel flow with uniform vorticity. (English) Zbl 1518.76008 Water Waves 5, No. 1, 41-64 (2023). MSC: 76B15 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Luong, Hung; Saut, Jean-Claude The Boussinesq systems on the background of a line solitary wave. (English) Zbl 1515.35218 Discrete Contin. Dyn. Syst. 43, No. 5, 1787-1823 (2023). MSC: 35Q35 35Q53 35C08 35B35 76B15 76B03 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Ehrnström, Mats; Walsh, Samuel; Zeng, Chongchun Smooth stationary water waves with exponentially localized vorticity. (English) Zbl 1515.35193 J. Eur. Math. Soc. (JEMS) 25, No. 3, 1045-1090 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35Q86 76B15 76B25 76B45 76B47 86A05 35B25 35J61 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, J.; Porter, R. Water wave propagation through arrays of closely spaced surface-piercing vertical barriers. (English) Zbl 1511.76011 J. Fluid Mech. 960, Paper No. A20, 33 p. (2023). MSC: 76B15 76M50 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Shelton, Josh; Trinh, Philippe H. Exponential asymptotics and the generation of free-surface flows by submerged line vortices. (English) Zbl 1528.76011 J. Fluid Mech. 958, Paper No. A29, 22 p. (2023). MSC: 76B15 76B47 76M45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Tao; Wang, Zhan; Vanden-Broeck, Jean-Marc Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields. (English) Zbl 1510.76209 Physica D 446, Article ID 133651, 12 p. (2023). MSC: 76W05 76B15 76B45 76M40 × Cite Format Result Cite Review PDF Full Text: DOI
Cancedda, Andrea; Chiadó Piat, Valeria; Nazarov, Sergei A.; Taskinen, Jari Spectral gaps for the linear water-wave problem in a channel with thin structures. (English) Zbl 1523.35131 Math. Nachr. 295, No. 4, 657-682 (2022). MSC: 35J05 35J25 35P15 47A10 × Cite Format Result Cite Review PDF Full Text: DOI
Nesterov, S. V. Natural frequencies and seiche forms in a channel with varying depth. (English. Russian original) Zbl 1509.76013 Fluid Dyn. 57, No. 7, 887-890 (2022); translation from Prikl. Mat. Mekh. 86, No. 3, 365-369 (2022). MSC: 76B15 76M99 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Peregudin, Sergey; Peregudina, Elena; Kholodova, Svetlana Wave motions of liquid with consideration of the density diffusion. (English) Zbl 1529.76021 Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 881-889 (2022). MSC: 76B15 76B55 76B70 76U05 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Benyo, Krisztian; Charhabil, Ayoub; Debyaoui, Mohamed-Ali; Penel, Yohan Simulation of complex free surface flows. (English. French summary) Zbl 1525.76015 ESAIM, Proc. Surv. 70, 45-67 (2021). MSC: 76B10 76B15 76M20 76M12 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Marchuk, An. G. Restoration of the ocean depth using recorded tsunami arrival times. (Russian. English summary) Zbl 1498.86008 Sib. Zh. Vychisl. Mat. 24, No. 1, 93-102 (2021). MSC: 86A05 86A22 76B15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Bresch, Didier; Lannes, David; Métivier, Guy Waves interacting with a partially immersed obstacle in the Boussinesq regime. (English) Zbl 1537.35281 Anal. PDE 14, No. 4, 1085-1124 (2021). MSC: 35Q35 35B30 35G61 76B15 35A01 35A02 35B05 35R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhang, Qinglong; Sheng, Wancheng A note on the Riemann problem for shallow water equations with discontinuous topography. (English) Zbl 1462.76126 Appl. Math. Lett. 116, Article ID 107042, 7 p. (2021). MSC: 76L05 76B15 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Calin I. Some explicit solutions to the three-dimensional nonlinear water wave problem. (English) Zbl 1460.35273 J. Math. Fluid Mech. 23, No. 2, Paper No. 33, 9 p. (2021). MSC: 35Q31 76B15 76U05 × Cite Format Result Cite Review PDF Full Text: DOI
Düll, Wolf-Patrick Validity of the nonlinear Schrödinger approximation for the two-dimensional water wave problem with and without surface tension in the arc length formulation. (English) Zbl 1459.35315 Arch. Ration. Mech. Anal. 239, No. 2, 831-914 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35Q55 76B15 76B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marchuk, An. G.; Moskalenskiĭ, E. D. A family of solutions of the two-dimensional eikonal equation. (Russian. English summary) Zbl 1507.76026 Sib. Zh. Vychisl. Mat. 23, No. 2, 155-164 (2020). MSC: 76B15 76N30 76Q05 76M99 74J99 78A40 86A05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Chesnel, Lucas; Nazarov, Sergei A.; Taskinen, Jari Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater topography. (English) Zbl 1451.35128 Asymptotic Anal. 118, No. 1-2, 81-122 (2020). MSC: 35Q35 76B15 35C20 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Dambrine, Julien; Noviani, Evi; Pierre, Morgan Rankine-type cylinders having zero wave resistance in infinitely deep flows. (English) Zbl 1443.76109 IMA J. Appl. Math. 85, No. 3, 343-364 (2020). MSC: 76B15 76B07 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Cinti, Eleonora; Miraglio, Pietro; Valdinoci, Enrico One-dimensional symmetry for the solutions of a three-dimensional water wave problem. (English) Zbl 1437.35173 J. Geom. Anal. 30, No. 2, 1804-1835 (2020). MSC: 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ibrahim, Abdelmonem M.; Tawhid, M. A.; Ward, Rabab K. A binary water wave optimization for feature selection. (English) Zbl 1433.68410 Int. J. Approx. Reasoning 120, 74-91 (2020). MSC: 68T20 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Bona, Jerry L.; Lenells, Jonatan The KdV equation on the half-line: time-periodicity and mass transport. (English) Zbl 1439.35424 SIAM J. Math. Anal. 52, No. 2, 1009-1039 (2020). MSC: 35Q53 35B30 35C15 37K10 37K15 76B15 86-05 35Q35 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Fuqing; Zhang, Lixin; Liu, Huan; Zhang, Yi; Ma, Weimin; Zhang, Chuck; Song, Houbin An improved water wave optimization algorithm with the single wave mechanism for the no-wait flow-shop scheduling problem. (English) Zbl 1523.90228 Eng. Optim. 51, No. 10, 1727-1742 (2019). MSC: 90B35 90C59 × Cite Format Result Cite Review PDF Full Text: DOI Link
Brougham, R. I.; Thompson, I. A direct method for Bloch wave excitation by scattering at the edge of a lattice. II: Finite size effects. (English) Zbl 1492.76099 Q. J. Mech. Appl. Math. 72, No. 3, 387-414 (2019). MSC: 76Q05 76B15 74J20 78A45 × Cite Format Result Cite Review PDF Full Text: DOI
Bauer, Roman; Cummings, Patrick; Schneider, Guido A model for the periodic water wave problem and its long wave amplitude equations. (English) Zbl 1442.35322 Henry, David (ed.) et al., Nonlinear water waves. An interdisciplinary interface. Based on the workshop held at the Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, Austria, November 27 – December 7, 2017. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 123-138 (2019). MSC: 35Q35 35Q53 35Q55 76B15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Muñoz, J. C.; Ruzhansky, M.; Tokmagambetov, N. Acoustic and shallow water wave propagation with irregular dissipation. (English. Russian original) Zbl 1431.35139 Funct. Anal. Appl. 53, No. 2, 153-156 (2019); translation from Funkts. Anal. Prilozh. 53, No. 2, 92-96 (2019). MSC: 35Q35 76Q05 35D30 35A01 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Li; Gao, Juanjuan Unique continuation property for a class of seventh-order shallow water wave equations. (English) Zbl 1438.35084 Chin. J. Eng. Math. 36, No. 3, 359-366 (2019). MSC: 35B60 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Su, Ting; Wang, Jia The families of explicit solutions for the Hirota equation. (English) Zbl 1460.35311 Math. Methods Appl. Sci. 42, No. 5, 1622-1630 (2019). Reviewer: Catalin Popa (Iaşi) MSC: 35Q51 35C08 68W30 35B10 76B15 76B25 14H42 × Cite Format Result Cite Review PDF Full Text: DOI
Thanh, Mai Duc The Riemann problem for the shallow water equations with horizontal temperature gradients. (English) Zbl 1428.35216 Appl. Math. Comput. 325, 159-178 (2018). MSC: 35L65 76L05 35L67 76M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chunmiao; Zhao, Yanwei; Leng, Longlong Water wave optimization for capacitated vehicle routing problem. (Chinese. English summary) Zbl 1424.90229 J. Numer. Methods Comput. Appl. 39, No. 3, 231-242 (2018). MSC: 90C27 90C59 90C26 × Cite Format Result Cite Review PDF
Ngom, Marième; Nicholls, David P. Well-posedness and analyticity of solutions to a water wave problem with viscosity. (English) Zbl 1406.35293 J. Differ. Equations 265, No. 10, 5031-5065 (2018). Reviewer: Vishnu Dutt Sharma (Mumbai) MSC: 35Q35 76D03 35R37 76D09 76D33 76D45 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Luong, Hung; Mauser, Norbert J.; Saut, Jean-Claude On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system. (English) Zbl 1397.35218 Commun. Pure Appl. Anal. 17, No. 4, 1573-1594 (2018). MSC: 35Q35 35Q55 35C08 35B35 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jianjun; Lai, Geng; Zhang, Jiayi Boundary value problems for the 2D steady relativistic Euler equations with general equation of state. (English) Zbl 1403.35213 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 175, 56-72 (2018). MSC: 35Q31 35L65 35L67 76B10 × Cite Format Result Cite Review PDF Full Text: DOI
Alazard, Thomas Boundary observability of gravity water waves. (English) Zbl 1445.76016 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 3, 751-779 (2018). MSC: 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Henry, David; Sastre-Gomez, Silvia Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. (English) Zbl 1413.35060 Differ. Integral Equ. 31, No. 1-2, 1-26 (2018). MSC: 35B32 35Q31 35J25 × Cite Format Result Cite Review PDF
Chen, Hongqiu Well-posedness for a higher-order, nonlinear, dispersive equation on a quarter plane. (English) Zbl 1375.35363 Discrete Contin. Dyn. Syst. 38, No. 1, 397-429 (2018). MSC: 35Q35 35Q53 76B03 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarov, Sergey A.; Taskinen, Jari Radiation conditions for the linear water-wave problem in periodic channels. (English) Zbl 1379.35068 Math. Nachr. 290, No. 11-12, 1753-1778 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35J05 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Haragus, Mariana; Wahlén, Erik Transverse instability of periodic and generalized solitary waves for a fifth-order KP model. (English) Zbl 1357.35084 J. Differ. Equations 262, No. 4, 3235-3249 (2017). MSC: 35C08 35B35 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Li, Junpu; Fu, Zhuojia; Chen, Wen Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method. (English) Zbl 1443.65406 Comput. Math. Appl. 71, No. 1, 381-390 (2016). MSC: 65N38 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Constantin, Adrian; Strauss, Walter; Vărvărucă, Eugen Global bifurcation of steady gravity water waves with critical layers. (English) Zbl 1375.35294 Acta Math. 217, No. 2, 195-262 (2016). MSC: 35Q15 35R35 35C07 76B15 35A15 35B32 35S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaligatla, R. B.; Manam, S. R. Bragg resonance of membrane-coupled gravity waves over a porous bottom. (English) Zbl 1367.76009 Int. J. Adv. Eng. Sci. Appl. Math. 8, No. 3, 222-237 (2016). MSC: 76B10 76S05 74F10 74K15 74H45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hongqiu New results for the BBM equation. (English) Zbl 1363.35314 J. Math. Study 49, No. 2, 111-131 (2016). MSC: 35Q53 76B03 76B15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fokou, M.; Kofane, T. C.; Mohamadou, A.; Yomba, E. One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem. (English) Zbl 1353.35249 Nonlinear Dyn. 83, No. 4, 2461-2473 (2016). MSC: 35Q53 76B15 35C08 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Karczewska, Anna; Rozmej, Piotr; Szczeciński, Maciej; Boguniewicz, Bartosz A finite element method for extended KdV equations. (English) Zbl 1347.65153 Int. J. Appl. Math. Comput. Sci. 26, No. 3, 555-567 (2016). MSC: 65M60 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giannoulis, Ioannis Interaction of modulated gravity water waves of finite depth. (English) Zbl 1446.76080 J. Differ. Equations 261, No. 7, 3864-3892 (2016). MSC: 76B15 76B45 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carvajal, X.; Panthee, M.; Scialom, M. Comparison between model equations for long waves and blow-up phenomena. (English) Zbl 1342.35298 J. Math. Anal. Appl. 442, No. 1, 273-290 (2016). MSC: 35Q53 35B44 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Sayas, Francisco-Javier Retarded potentials and time domain boundary integral equations. A road map. (English) Zbl 1346.65047 Springer Series in Computational Mathematics 50. Cham: Springer (ISBN 978-3-319-26643-5/hbk; 978-3-319-26645-9/ebook). xv, 242 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M38 65M15 65R10 65R20 76B15 45-02 35-02 65-02 44A10 65M12 65M60 35L05 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Jussi; Nazarov, Sergey A.; Taskinen, Jari Spectrum of the linear water model for a two-layer liquid with cuspidal geometries at the interface. (English) Zbl 1329.76038 ZAMM, Z. Angew. Math. Mech. 95, No. 8, 859-876 (2015). MSC: 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zaiyun; Huang, Jianhua; Sun, Mingbao Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation revisited. (English) Zbl 1328.35188 J. Math. Phys. 56, No. 9, 092701, 11 p. (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q35 35B44 35Q51 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Rauwoens, Pieter; Troch, Peter; Vierendeels, Jan A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines. (English) Zbl 1321.65183 J. Comput. Appl. Math. 289, 22-36 (2015). MSC: 65N55 35J05 76B15 86A05 65N08 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Totz, Nathan A justification of the modulation approximation to the 3D full water wave problem. (English) Zbl 1316.35245 Commun. Math. Phys. 335, No. 1, 369-443 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35R35 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zheng, Jinhai; Wang, Gang; Dong, Guohai; Ma, Xiaozhou; Ma, Yuxiang Numerical study on Fermi-Pasta-Ulam-Tsingou problem for 1D shallow-water waves. (English) Zbl 1524.76273 Wave Motion 51, No. 1, 157-167 (2014). MSC: 76M20 65M06 76B10 × Cite Format Result Cite Review PDF Full Text: DOI
Bernard-Champmartin, Aude; De Vuyst, Florian A low diffusive Lagrange-remap scheme for the simulation of violent air-water free-surface flows. (English) Zbl 1351.76094 J. Comput. Phys. 274, 19-49 (2014). MSC: 76M12 65M08 76T10 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung Well-posedness for the \(BBM\)-equation in a quarter plane. (English) Zbl 1302.35309 Discrete Contin. Dyn. Syst., Ser. S 7, No. 6, 1149-1163 (2014). MSC: 35Q35 76B03 35Q51 35Q86 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Manam, S. R.; Kaligatla, R. B. Membrane-coupled gravity wave scattering by a vertical barrier with a gap. (English) Zbl 1368.74030 ANZIAM J. 55, No. 3, 267-288 (2014). MSC: 74J20 45F10 74F10 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarov, S. A.; Taskinen, J.; Videman, J. H. Asymptotic behavior of trapped modes in two-layer fluids. (English) Zbl 1360.76071 Wave Motion 50, No. 2, 111-126 (2013). MSC: 76B55 76B70 × Cite Format Result Cite Review PDF Full Text: DOI Link
Novruzov, Emil Blow-up phenomena for the weakly dissipative Dullin-Gottwald-Holm equation. (English) Zbl 1297.35207 J. Math. Phys. 54, No. 9, 092703, 8 p. (2013). Reviewer: Alina Stancu (Montréal) MSC: 35Q53 35B44 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Jussi On continuous spectrum of the linearised water-wave problem in bounded domains. (English) Zbl 1290.35180 Ann. Acad. Sci. Fenn., Math. 38, No. 2, 413-431 (2013). MSC: 35P99 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Sault, Jean-Claude Asymptotic models for surface and internal waves. Paper from the 29th Brazilian mathematics colloquium – \(29^\circ\) Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 22 – August 2, 2013. (English) Zbl 1322.35119 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0351-4/pbk). 262 p., open access (2013). Reviewer: Yvan Martel (Palaiseau) MSC: 35Q35 35-02 35Q53 76B15 76M45 35A01 35B40 35B44 × Cite Format Result Cite Review PDF Full Text: Link
Martin, Jussi; Taskinen, Jari Linear water-wave problem in a pond with a shallow beach. (English) Zbl 1273.76063 Appl. Anal. 92, No. 10, 2229-2240 (2013). MSC: 76B15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Robin Ming; Liu, Yue; Zhang, Pingzheng Local regularity and decay estimates of solitary waves for the rotation-modified Kadomtsev-Petviashvili equation. (English) Zbl 1291.35276 Trans. Am. Math. Soc. 364, No. 7, 3395-3425 (2012). MSC: 35Q53 76B03 76B15 76B25 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Boguk Long-wave transverse instability of weakly nonlinear gravity-capillary solitary waves. (English) Zbl 1254.76090 J. Eng. Math. 74, 19-28 (2012). MSC: 76E30 76B25 76B45 × Cite Format Result Cite Review PDF Full Text: DOI
Kao, Chiu-Yen; Kodama, Yuji Numerical study of the KP equation for non-periodic waves. (English) Zbl 1248.65107 Math. Comput. Simul. 82, No. 7, 1185-1218 (2012). MSC: 65M70 37K10 35Q35 35Q51 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Eun Heui An interaction of a rarefaction wave and a transonic shock for the self-similar two-dimensional nonlinear wave system. (English) Zbl 1255.35167 Commun. Partial Differ. Equations 37, No. 4-6, 610-646 (2012). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 76G25 76J20 35L65 35L70 35R35 35M10 35J65 × Cite Format Result Cite Review PDF Full Text: DOI
Nazarov, Sergey A.; Taskinen, Jari Radiation conditions at the top of a rotational cusp in the theory of water-waves. (English) Zbl 1267.76013 ESAIM, Math. Model. Numer. Anal. 45, No. 5, 947-979 (2011). MSC: 76B15 35J25 35P99 × Cite Format Result Cite Review PDF Full Text: DOI
Castro, Angel; Córdoba, Diego; Fefferman, Charles L.; Gancedo, Francisco; López-Fernández, María Turning waves and breakdown for incompressible flows. (English) Zbl 1256.76019 Proc. Natl. Acad. Sci. USA 108, No. 12, 4754-4759 (2011). MSC: 76B15 35Q35 76D27 35Q31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
McIver, M.; McIver, P. Water waves in the time domain. (English) Zbl 1254.76026 J. Eng. Math. 70, No. 1-3, 111-128 (2011). MSC: 76B15 86A05 × Cite Format Result Cite Review PDF Full Text: DOI
Karabut, P. E.; Ostapenko, V. V. Method of successive approximations for the Riemann problem with a small-amplitude discontinuity. (English. Russian original) Zbl 1232.65136 Dokl. Math. 83, No. 2, 143-148 (2011); translation from Dokl. Akad. Nauk 437, No. 1, 9-15 (2011). MSC: 65M99 35L05 76B15 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Besse, Nicolas On the Cauchy problem for the gyro-water-bag model. (English) Zbl 1230.35006 Math. Models Methods Appl. Sci. 21, No. 9, 1839-1869 (2011). MSC: 35A01 35A02 35L65 47G30 82D10 35Q83 35B53 × Cite Format Result Cite Review PDF Full Text: DOI
Himonas, A. Alexandrou; Kenig, Carlos Erratum to: “Non-uniform dependence on initial data for the CH equation on the line”. (English) Zbl 1240.35241 Differ. Integral Equ. 24, No. 1-2, 199-200 (2011). MSC: 35K55 35Q53 35B30 × Cite Format Result Cite Review PDF
Kulczycki, T.; Kuznetsov, N. On the ‘high spots’ of fundamental sloshing modes in a trough. (English) Zbl 1219.76007 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2129, 1491-1502 (2011). MSC: 76B10 35J05 35J25 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Sijue Global wellposedness of the 3-D full water wave problem. (English) Zbl 1221.35304 Invent. Math. 184, No. 1, 125-220 (2011). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76B15 76M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiaoguang; Zhang, Jian; Lai, Shaoyong; Wu, Yonghong The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system. (English) Zbl 1228.35067 J. Differ. Equations 250, No. 4, 2197-2226 (2011). Reviewer: Shun-Tang Wu (Zhonghe) MSC: 35B44 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Hein, Ricardo; Durán, Mario; Nédélec, Jean-Claude Explicit representation for the infinite-depth two-dimensional free-surface Green’s function in linear water-wave theory. (English) Zbl 1221.31002 SIAM J. Appl. Math. 70, No. 7, 2353-2372 (2010). Reviewer: Marius Ghergu (Dublin) MSC: 31A10 35A08 35C05 35J05 65N38 74J05 × Cite Format Result Cite Review PDF Full Text: DOI
Holm, Darryl D.; Ivanov, Rossen I. Smooth and peaked solitons of the CH equation. (English) Zbl 1202.35226 J. Phys. A, Math. Theor. 43, No. 43, Article ID 434003, 18 p. (2010). MSC: 35Q53 35Q51 35C08 35B65 37K10 35Q15 35C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Himonas, A. Alexandrou; Kenig, Carlos Non-uniform dependence on initial data for the CH equation on the line. (English) Zbl 1240.35242 Differ. Integral Equ. 22, No. 3-4, 201-224 (2009); erratum ibid. 24, No. 1-2, 199-200 (2011). MSC: 35K55 35Q53 35B30 × Cite Format Result Cite Review PDF Full Text: arXiv
Hague, C. H.; Swan, C. A multiple flux boundary element method applied to the description of surface water waves. (English) Zbl 1168.76033 J. Comput. Phys. 228, No. 14, 5111-5128 (2009). MSC: 76M15 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Angulo, Jaime; Matheus, Carlos; Pilod, Didier Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system. (English) Zbl 1168.35430 Commun. Pure Appl. Anal. 8, No. 3, 815-844 (2009). MSC: 35Q55 35B10 35Q51 35B35 76B25 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Banerjea, Sudeshna; Dutta, Barnali On a weakly singular integral equation and its application. (English) Zbl 1152.45303 Appl. Math. Lett. 21, No. 7, 729-734 (2008). MSC: 45E10 30E25 × Cite Format Result Cite Review PDF Full Text: DOI
Tian, Lixin; Gui, Guilong; Liu, Yue On the Cauchy problem for the generalized shallow water wave equation. (English) Zbl 1154.35074 J. Differ. Equations 245, No. 7, 1838-1852 (2008). MSC: 35Q35 35Q53 35A07 76B03 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Yongyan; Cheung, Kwok Fai Explicit solution to the exact Riemann problem and application in nonlinear shallow-water equations. (English) Zbl 1210.76033 Int. J. Numer. Methods Fluids 57, No. 11, 1649-1668 (2008). MSC: 76B15 65M06 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
aus der Wiesche, Stefan The Cauchy surface wave problem from the viewpoint of a VOF method. (English) Zbl 1168.76307 Comput. Mech. 39, No. 2, 141-152 (2007). MSC: 76B15 76M25 76M12 × Cite Format Result Cite Review PDF Full Text: DOI
Matheus, Carlos Global well-posedness of NLS-KdV systems for periodic functions. (English) Zbl 1118.35045 Electron. J. Differ. Equ. 2007, Paper No. 07, 20 p. (2007). MSC: 35Q55 35Q53 76B15 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Coclite, Giuseppe M.; Karlsen, Kenneth H. On the uniqueness of discontinuous solutions to the Degasperis-Procesi equation. (English) Zbl 1133.35028 J. Differ. Equations 234, No. 1, 142-160 (2007). Reviewer: Meng Wang (Hangzhou) MSC: 35G25 35L05 35A05 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Holden, Helge; Raynaud, Xavier Global conservative solutions of the generalized hyperelastic-rod wave equation. (English) Zbl 1116.35115 J. Differ. Equations 233, No. 2, 448-484 (2007). MSC: 35Q72 35B35 74K10 76B15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Attili, Basem S. The Adomian decomposition method for solving the Boussinesq equation arising in water wave propagation. (English) Zbl 1106.76053 Numer. Methods Partial Differ. Equations 22, No. 6, 1337-1347 (2006). MSC: 76M25 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Bambusi, Dario Birkhoff normal form for some quasilinear Hamiltonian PDEs. (English) Zbl 1108.37048 Zambrini, Jean-Claude (ed.), XIVth international congress on mathematical physics (ICMP 2003), Lisbon, Portugal, 28 July – 2 August 2003. Selected papers based on the presentation at the conference. Hackensack, NJ: World Scientific (ISBN 981-256-201-X/hbk). 273-280 (2005). MSC: 37K55 34C20 34D10 35F20 37K05 × Cite Format Result Cite Review PDF
Gui, Guilong; Tian, Lixin Limit behavior of solutions to Dullin-Gottwald-Holm equation. (Chinese. English summary) Zbl 1115.35317 J. Jiangsu Univ., Nat. Sci. 26, No. 6A, 10-14 (2005). MSC: 35G25 35Q35 × Cite Format Result Cite Review PDF
Dias, Frédéric; Bridges, Thomas Weakly nonlinear wave packets and the nonlinear Schrödinger equation. (English) Zbl 1095.76009 Grimshaw, Robert (ed.), Nonlinear waves in fluids: Recent advances and modern applications. CISM summer school, Udine, Italy, September 20–24, 2004. Wien: Springer (ISBN 3-211-25259-2/pbk). CISM Courses and Lectures 483, 29-67 (2005). MSC: 76B15 76B25 76E17 35Q55 35Q51 76-02 × Cite Format Result Cite Review PDF
Bona, Jerry L.; Chen, Hongqiu; Sun, Shu Ming; Zhang, B.-Y. Comparison of quarter-plane and two-point boundary value problems: the BBM-equation. (English) Zbl 1088.35057 Discrete Contin. Dyn. Syst. 13, No. 4, 921-940 (2005). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q53 76B15 76B03 45G10 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Kunze, Markus; Schneider, Guido Estimates for the KdV-limit of the Camassa-Holm equation. (English) Zbl 1084.35074 Lett. Math. Phys. 72, No. 1, 17-26 (2005). MSC: 35Q53 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Tian, Lixin; Gui, Guilong; Liu, Yue On the well-posedness problem and the scattering problem for the Dullin-Gottwald-Holm equation. (English) Zbl 1080.76016 Commun. Math. Phys. 257, No. 3, 667-701 (2005). MSC: 76B15 76B25 35Q35 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Rasulov, Mahir; Aslan, Zafer; Pakdil, Ozkan Finite differences method for shallow water equations in a class of discontinuous functions. (English) Zbl 1059.76049 Appl. Math. Comput. 160, No. 2, 343-353 (2005). MSC: 76M20 76B15 × Cite Format Result Cite Review PDF Full Text: DOI