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Supercritical surface waves generated by negative or oscillatory forcing
1.  Department of Mathematics, Korea University, Seoul, South Korea 
2.  Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, United States, United States 
3.  Department of Mathematics, Ajou University, Suwon, South Korea 
[1] 
Roman Shvydkoy, Eitan Tadmor. Eulerian dynamics with a commutator forcing Ⅱ: Flocking. Discrete & Continuous Dynamical Systems  A, 2017, 37 (11) : 55035520. doi: 10.3934/dcds.2017239 
[2] 
Martin Golubitsky, Claire Postlethwaite. Feedforward networks, center manifolds, and forcing. Discrete & Continuous Dynamical Systems  A, 2012, 32 (8) : 29132935. doi: 10.3934/dcds.2012.32.2913 
[3] 
T. Candan, R.S. Dahiya. Oscillation of mixed neutral differential equations with forcing term. Conference Publications, 2003, 2003 (Special) : 167172. doi: 10.3934/proc.2003.2003.167 
[4] 
Hongjun Gao, Jinqiao Duan. Dynamics of the thermohaline circulation under wind forcing. Discrete & Continuous Dynamical Systems  B, 2002, 2 (2) : 205219. doi: 10.3934/dcdsb.2002.2.205 
[5] 
Jinhuo Luo, Jin Wang, Hao Wang. Seasonal forcing and exponential threshold incidence in cholera dynamics. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 22612290. doi: 10.3934/dcdsb.2017095 
[6] 
Xueping Li, Jingli Ren, Sue Ann Campbell, Gail S. K. Wolkowicz, Huaiping Zhu. How seasonal forcing influences the complexity of a predatorprey system. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 785807. doi: 10.3934/dcdsb.2018043 
[7] 
Dimitra Antonopoulou, Georgia Karali, Georgios T. Kossioris. Asymptotics for a generalized CahnHilliard equation with forcing terms. Discrete & Continuous Dynamical Systems  A, 2011, 30 (4) : 10371054. doi: 10.3934/dcds.2011.30.1037 
[8] 
Shihui Zhu. Existence and uniqueness of global weak solutions of the CamassaHolm equation with a forcing. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 52015221. doi: 10.3934/dcds.2016026 
[9] 
S. Rüdiger, J. Casademunt, L. Kramer. Kinks in stripe forming systems under traveling wave forcing. Discrete & Continuous Dynamical Systems  B, 2005, 5 (4) : 10271042. doi: 10.3934/dcdsb.2005.5.1027 
[10] 
M. Sango. Weak solutions for a doubly degenerate quasilinear parabolic equation with random forcing. Discrete & Continuous Dynamical Systems  B, 2007, 7 (4) : 885905. doi: 10.3934/dcdsb.2007.7.885 
[11] 
S.M. Booker, P.D. Smith, P. Brennan, R. Bullock. Inband disruption of a nonlinear circuit using optimal forcing functions. Discrete & Continuous Dynamical Systems  B, 2002, 2 (2) : 221242. doi: 10.3934/dcdsb.2002.2.221 
[12] 
Xuewei Ju, Desheng Li. Global synchronising behavior of evolution equations with exponentially growing nonautonomous forcing. Communications on Pure & Applied Analysis, 2018, 17 (5) : 19211944. doi: 10.3934/cpaa.2018091 
[13] 
Hongjie Ju, Jian Lu, Huaiyu Jian. Translating solutions to mean curvature flow with a forcing term in Minkowski space. Communications on Pure & Applied Analysis, 2010, 9 (4) : 963973. doi: 10.3934/cpaa.2010.9.963 
[14] 
Amadeu Delshams, Vassili Gelfreich, Angel Jorba and Tere M. Seara. Lower and upper bounds for the splitting of separatrices of the pendulum under a fast quasiperiodic forcing. Electronic Research Announcements, 1997, 3: 110. 
[15] 
Hideo Kubo. On the pointwise decay estimate for the wave equation with compactly supported forcing term. Communications on Pure & Applied Analysis, 2015, 14 (4) : 14691480. doi: 10.3934/cpaa.2015.14.1469 
[16] 
Nathan GlattHoltz, Mohammed Ziane. Singular perturbation systems with stochastic forcing and the renormalization group method. Discrete & Continuous Dynamical Systems  A, 2010, 26 (4) : 12411268. doi: 10.3934/dcds.2010.26.1241 
[17] 
Mogtaba Mohammed, Mamadou Sango. Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Networks & Heterogeneous Media, 2019, 14 (2) : 341369. doi: 10.3934/nhm.2019014 
[18] 
Martina ChirilusBruckner, Guido Schneider. Interaction of oscillatory packets of water waves. Conference Publications, 2015, 2015 (special) : 267275. doi: 10.3934/proc.2015.0267 
[19] 
Yahong Peng, Yaguang Wang. Reflection of highly oscillatory waves with continuous oscillatory spectra for semilinear hyperbolic systems. Discrete & Continuous Dynamical Systems  A, 2009, 24 (4) : 12931306. doi: 10.3934/dcds.2009.24.1293 
[20] 
Vera Mikyoung Hur. On the formation of singularities for surface water waves. Communications on Pure & Applied Analysis, 2012, 11 (4) : 14651474. doi: 10.3934/cpaa.2012.11.1465 
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