-
1
-
-
77956246729
-
Dynamics of three-dimensional gravity-capillary solitary waves in deep water
-
MR2678044
-
Benjamin Akers and Paul A. Milewski, Dynamics of three-dimensional gravity-capillary solitary waves in deep water, SIAM J. Appl. Math. 70 (2010), no. 7, 2390–2408, DOI 10.1137/090758386. MR2678044
-
(2010)
SIAM J. Appl. Math
, vol.70
, Issue.7
, pp. 2390-2408
-
-
Akers, Benjamin1
Milewski, Paul A.2
-
2
-
-
77956241032
-
Traveling waves in deep water with gravity and surface tension
-
MR2678043
-
Benjamin Akers and David P. Nicholls, Traveling waves in deep water with gravity and surface tension, SIAM J. Appl. Math. 70 (2010), no. 7, 2373–2389, DOI 10.1137/090771351. MR2678043
-
(2010)
SIAM J. Appl. Math
, vol.70
, Issue.7
, pp. 2373-2389
-
-
Akers, Benjamin1
Nicholls, David P.2
-
3
-
-
84861694721
-
Well-posedness of a model for water waves with viscosity
-
MR2899939
-
David M. Ambrose, Jerry L. Bona, and David P. Nicholls, Well-posedness of a model for water waves with viscosity, Discrete Contin. Dyn. Syst. Ser. B 17 (2012), no. 4, 1113–1137, DOI 10.3934/dcdsb.2012.17.1113. MR2899939
-
(2012)
Discrete Contin. Dyn. Syst. Ser. B
, vol.17
, Issue.4
, pp. 1113-1137
-
-
Ambrose, David M.1
Bona, Jerry L.2
Nicholls, David P.3
-
4
-
-
34447634692
-
Lois de l’extinction de la houle en haute mer
-
J. Boussinesq, Lois de l’extinction de la houle en haute mer, C. R. Acad. Sci. Paris 121 (1895), no. 2, 15–20.
-
(1895)
C. R. Acad. Sci. Paris
, vol.121
, Issue.2
, pp. 15-20
-
-
Boussinesq, J.1
-
5
-
-
84942354084
-
Well-posedness of the Muskat problem with H2 initial data
-
MR3415681
-
C. H. Arthur Cheng, Rafael Granero-Belinchón, and Steve Shkoller, Well-posedness of the Muskat problem with H2 initial data, Adv. Math. 286 (2016), 32–104, DOI 10.1016/j.aim.2015.08.026. MR3415681
-
(2016)
Adv. Math
, vol.286
, pp. 32-104
-
-
Arthur Cheng, C. H.1
Granero-Belinchón, Rafael2
Shkoller, Steve3
-
6
-
-
85076928751
-
Rigorous asymptotic models of water waves
-
C. H. Arthur Cheng, Rafael Granero-Belinchón, Steve Shkoller, and Jon Wilkening, Rigorous asymptotic models of water waves, Water Waves 1 (2019), no. 1, 71–130.
-
(2019)
Water Waves
, vol.1
, Issue.1
, pp. 71-130
-
-
Arthur Cheng, C. H.1
Granero-Belinchón, Rafael2
Shkoller, Steve3
Wilkening, Jon4
-
7
-
-
0002686768
-
Numerical simulation of gravity waves
-
MR1239970
-
W. Craig and C. Sulem, Numerical simulation of gravity waves, J. Comput. Phys. 108 (1993), no. 1, 73–83, DOI 10.1006/jcph.1993.1164. MR1239970
-
(1993)
J. Comput. Phys
, vol.108
, Issue.1
, pp. 73-83
-
-
Craig, W.1
Sulem, C.2
-
8
-
-
77950654121
-
On the decay properties of solutions to a class of Schrödinger equations
-
MR2383514
-
L. Dawson, H. McGahagan, and G. Ponce, On the decay properties of solutions to a class of Schrödinger equations, Proc. Amer. Math. Soc. 136 (2008), no. 6, 2081–2090, DOI 10.1090/S0002-9939-08-09355-6. MR2383514
-
(2008)
Proc. Amer. Math. Soc
, vol.136
, Issue.6
, pp. 2081-2090
-
-
Dawson, L.1
McGahagan, H.2
Ponce, G.3
-
9
-
-
38849134959
-
Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions
-
Frederic Dias, Alexander I. Dyachenko, and Vladimir E. Zakharov, Theory of weakly damped free-surface flows: a new formulation based on potential flow solutions, Phys. Lett. A 372 (2008), no. 8, 1297–1302.
-
(2008)
Phys. Lett. A
, vol.372
, Issue.8
, pp. 1297-1302
-
-
Dias, Frederic1
Dyachenko, Alexander I.2
Zakharov, Vladimir E.3
-
10
-
-
62649165873
-
Visco-potential free-surface flows and long wave modelling
-
MR2513897
-
Denys Dutykh, Visco-potential free-surface flows and long wave modelling, Eur. J. Mech. B Fluids 28 (2009), no. 3, 430–443, DOI 10.1016/j.euromechflu.2008.11.003. MR2513897
-
(2009)
Eur. J. Mech. B Fluids
, vol.28
, Issue.3
, pp. 430-443
-
-
Dutykh, Denys1
-
11
-
-
35548942232
-
Dissipative Boussinesq equations
-
Denys Dutykh and Frédéric Dias, Dissipative Boussinesq equations, C. R. Mecanique 335 (2007), no. 9–10, 559–583.
-
(2007)
C. R. Mecanique
, vol.335
, Issue.9–10
, pp. 559-583
-
-
Dutykh, Denys1
Dias, Frédéric2
-
12
-
-
34447630128
-
Viscous potential free-surface flows in a fluid layer of finite depth (English, with English and French summaries)
-
MR2343563
-
Denys Dutykh and Frédéric Dias, Viscous potential free-surface flows in a fluid layer of finite depth (English, with English and French summaries), C. R. Math. Acad. Sci. Paris 345 (2007), no. 2, 113–118, DOI 10.1016/j.crma.2007.06.007. MR2343563
-
(2007)
C. R. Math. Acad. Sci. Paris
, vol.345
, Issue.2
, pp. 113-118
-
-
Dutykh, Denys1
Dias, Frédéric2
-
13
-
-
84899042580
-
Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
-
MR3501289
-
Denys Dutykh and Olivier Goubet, Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach, Math. Comput. Simulation 127 (2016), 80–93, DOI 10.1016/j.matcom.2013.12.008. MR3501289
-
(2016)
Math. Comput. Simulation
, vol.127
, pp. 80-93
-
-
Dutykh, Denys1
Goubet, Olivier2
-
14
-
-
84899754405
-
The Kato-Ponce inequality
-
MR3200091
-
Loukas Grafakos and Seungly Oh, The Kato-Ponce inequality, Comm. Partial Differential Equations 39 (2014), no. 6, 1128–1157, DOI 10.1080/03605302.2013.822885. MR3200091
-
(2014)
Comm. Partial Differential Equations
, vol.39
, Issue.6
, pp. 1128-1157
-
-
Grafakos, Loukas1
Oh, Seungly2
-
16
-
-
85063264613
-
Asymptotic models for free boundary flow in porous media
-
MR3928312
-
Rafael Granero-Belinchón and Stefano Scrobogna, Asymptotic models for free boundary flow in porous media, Phys. D 392 (2019), 1–16, DOI 10.1016/j.physd.2019.02.013. MR3928312
-
(2019)
Phys. D
, vol.392
, pp. 1-16
-
-
Granero-Belinchón, Rafael1
Scrobogna, Stefano2
-
17
-
-
85076878639
-
Models for damped water waves
-
MR4041720
-
Rafael Granero-Belinchón and Stefano Scrobogna, Models for damped water waves, SIAM J. Appl. Math. 79 (2019), no. 6, 2530–2550, DOI 10.1137/19M1262899. MR4041720
-
(2019)
SIAM J. Appl. Math
, vol.79
, Issue.6
, pp. 2530-2550
-
-
Granero-Belinchón, Rafael1
Scrobogna, Stefano2
-
19
-
-
85016981628
-
A model for Rayleigh-Taylor mixing and interface turnover
-
MR3612171
-
Rafael Granero-Belinchón and Steve Shkoller, A model for Rayleigh-Taylor mixing and interface turnover, Multiscale Model. Simul. 15 (2017), no. 1, 274–308, DOI 10.1137/16M1083463. MR3612171
-
(2017)
Multiscale Model. Simul
, vol.15
, Issue.1
, pp. 274-308
-
-
Granero-Belinchón, Rafael1
Shkoller, Steve2
-
20
-
-
0030403292
-
Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries
-
Lei Jiang, Chao-Lung Ting, Marc Perlin, and William W. Schultz, Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries, J. Fluid Mech. 329 (1996), 275–307.
-
(1996)
J. Fluid Mech
, vol.329
, pp. 275-307
-
-
Jiang, Lei1
Ting, Chao-Lung2
Perlin, Marc3
Schultz, William W.4
-
21
-
-
2442660045
-
The dissipation approximation and viscous potential flow
-
MR2259003
-
D. D. Joseph and J. Wang, The dissipation approximation and viscous potential flow, J. Fluid Mech. 505 (2004), 365–377, DOI 10.1017/S0022112004008602. MR2259003
-
(2004)
J. Fluid Mech
, vol.505
, pp. 365-377
-
-
Joseph, D. D.1
Wang, J.2
-
22
-
-
77951104207
-
Numerical simulation of a weakly nonlinear model for water waves with viscosity
-
MR2578037
-
Maria Kakleas and David P. Nicholls, Numerical simulation of a weakly nonlinear model for water waves with viscosity, J. Sci. Comput. 42 (2010), no. 2, 274–290, DOI 10.1007/s10915-009-9324-y. MR2578037
-
(2010)
J. Sci. Comput
, vol.42
, Issue.2
, pp. 274-290
-
-
Kakleas, Maria1
Nicholls, David P.2
-
23
-
-
84990617895
-
Commutator estimates and the Euler and Navier-Stokes equations
-
MR951744
-
Tosio Kato and Gustavo Ponce, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math. 41 (1988), no. 7, 891–907, DOI 10.1002/cpa.3160410704. MR951744
-
(1988)
Comm. Pure Appl. Math
, vol.41
, Issue.7
, pp. 891-907
-
-
Kato, Tosio1
Ponce, Gustavo2
-
24
-
-
84990553608
-
Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle
-
MR1211741
-
Carlos E. Kenig, Gustavo Ponce, and Luis Vega, Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle, Comm. Pure Appl. Math. 46 (1993), no. 4, 527–620, DOI 10.1002/cpa.3160460405. MR1211741
-
(1993)
Comm. Pure Appl. Math
, vol.46
, Issue.4
, pp. 527-620
-
-
Kenig, Carlos E.1
Ponce, Gustavo2
Vega, Luis3
-
25
-
-
0000691222
-
Nonlinear evolution of water surface waves: the frequency down-shift phenomenon, Mathematical problems in the theory of water waves (Luminy, 1995)
-
Amer. Math. Soc., Providence, RI, MR1410506
-
C. Skandrani, C. Kharif, and J. Poitevin, Nonlinear evolution of water surface waves: the frequency down-shift phenomenon, Mathematical problems in the theory of water waves (Luminy, 1995), Contemp. Math., vol. 200, Amer. Math. Soc., Providence, RI, 1996, pp. 157–171, DOI 10.1090/conm/200/02514. MR1410506
-
(1996)
Contemp. Math
, vol.200
, pp. 157-171
-
-
Skandrani, C.1
Kharif, C.2
Poitevin, J.3
-
26
-
-
0004168443
-
-
6th ed., with a foreword by R. A. Caflisch [Russel E. Caflisch], Cambridge Mathematical Library, Cambridge University Press, Cambridge, MR1317348
-
Horace Lamb, Hydrodynamics, 6th ed., with a foreword by R. A. Caflisch [Russel E. Caflisch], Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1993. MR1317348
-
(1993)
Hydrodynamics
-
-
Lamb, Horace1
-
27
-
-
0026796993
-
Theory of weakly damped Stokes waves: a new formulation and its physical interpretation
-
MR1150193
-
Michael S. Longuet-Higgins, Theory of weakly damped Stokes waves: a new formulation and its physical interpretation, J. Fluid Mech. 235 (1992), 319–324, DOI 10.1017/S0022112092001125. MR1150193
-
(1992)
J. Fluid Mech
, vol.235
, pp. 319-324
-
-
Longuet-Higgins, Michael S.1
-
28
-
-
0038123824
-
Nonlinear evolutions of surface gravity waves on fluid of finite depth
-
Y Matsuno Nonlinear evolutions of surface gravity waves on fluid of finite depth. Physical review letters, 69(4):609, 1992.
-
(1992)
Physical review letters
, vol.69
, Issue.4
, pp. 609
-
-
Matsuno, Y1
-
29
-
-
0027396327
-
Nonlinear evolution of surface gravity waves over an uneven bottom
-
MR1214472
-
Y. Matsuno, Nonlinear evolution of surface gravity waves over an uneven bottom, J. Fluid Mech. 249 (1993), 121–133, DOI 10.1017/S0022112093001107. MR1214472
-
(1993)
J. Fluid Mech
, vol.249
, pp. 121-133
-
-
Matsuno, Y.1
-
30
-
-
0344639081
-
Two-dimensional evolution of surface gravity waves on a fluid of arbitrary depth
-
Yoshimasa Matsuno, Two-dimensional evolution of surface gravity waves on a fluid of arbitrary depth, Physical Review E, 47(6):4593, 1993.
-
(1993)
Physical Review E
, vol.47
, Issue.6
, pp. 4593
-
-
Matsuno, Yoshimasa1
-
31
-
-
85048976819
-
Well-posedness and analyticity of solutions to a water wave problem with viscosity
-
MR3848244
-
Marième Ngom and David P. Nicholls, Well-posedness and analyticity of solutions to a water wave problem with viscosity, J. Differential Equations 265 (2018), no. 10, 5031–5065, DOI 10.1016/j.jde.2018.06.030. MR3848244
-
(2018)
J. Differential Equations
, vol.265
, Issue.10
, pp. 5031-5065
-
-
Ngom, Marième1
Nicholls, David P.2
-
32
-
-
0026219343
-
Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves
-
K. D. Ruvinsky, F. I. Feldstein, and G. I. Freidman, Numerical simulations of the quasi-stationary stage of ripple excitation by steep gravity–capillary waves, J. Fluid Mech. 230 (1991), 339–353.
-
(1991)
J. Fluid Mech
, vol.230
, pp. 339-353
-
-
Ruvinsky, K. D.1
Feldstein, F. I.2
Freidman, G. I.3
-
33
-
-
84971864398
-
Improvement of the first Stokes method for the investigation of finite-amplitude potential gravity-capillary waves
-
Tbilisi: Theses of Reports
-
K. D. Ruvinsky and G. I. Freidman, Improvement of the first Stokes method for the investigation of finite-amplitude potential gravity-capillary waves, IX All-Union Symp. on Diffraction and Propagation Waves, Tbilisi: Theses of Reports, volume 2, 1985, pp. 22–25.
-
(1985)
IX All-Union Symp. on Diffraction and Propagation Waves
, vol.2
, pp. 22-25
-
-
Ruvinsky, K. D.1
Freidman, G. I.2
-
34
-
-
84932645974
-
The fine structure of strong gravity-capillary waves
-
AV Gaponov-Grekhov and MI Rabinovich, eds. Moscow: Nauka, pages
-
K. D. Ruvinsky and G. I. Freidman. The fine structure of strong gravity-capillary waves, Nonlinear waves: Structures and Bifurcations, AV Gaponov-Grekhov and MI Rabinovich, eds. Moscow: Nauka, pages 304–326, 1987.
-
(1987)
Nonlinear waves: Structures and Bifurcations
, pp. 304-326
-
-
Ruvinsky, K. D.1
Freidman, G. I.2
-
35
-
-
0040267906
-
-
of Cambridge Library Collection Mathematics, Cambridge University Press
-
George Gabriel Stokes, On the Theory of Oscillatory Waves, volume 1 of Cambridge Library Collection - Mathematics, Cambridge University Press, 1847.
-
(1847)
On the Theory of Oscillatory Waves
, vol.1
-
-
Stokes, George Gabriel1
-
36
-
-
33244464033
-
Purely irrotational theories of the effect of the viscosity on the decay of free gravity waves
-
MR2266175
-
J. Wang and D. D. Joseph, Purely irrotational theories of the effect of the viscosity on the decay of free gravity waves, J. Fluid Mech. 559 (2006), 461–472, DOI 10.1017/S0022112006000401. MR2266175
-
(2006)
J. Fluid Mech
, vol.559
, pp. 461-472
-
-
Wang, J.1
Joseph, D. D.2
-
37
-
-
33744917573
-
A note on stabilizing the Benjamin-Feir instability
-
MR2263443
-
Guangyu Wu, Yuming Liu, and Dick K. P. Yue, A note on stabilizing the Benjamin-Feir instability, J. Fluid Mech. 556 (2006), 45–54, DOI 10.1017/S0022112005008293. MR2263443
-
(2006)
J. Fluid Mech
, vol.556
, pp. 45-54
-
-
Wu, Guangyu1
Liu, Yuming2
Yue, Dick K. P.3
|