
Previous Article
Optimal design of an optical length of a rod with the given mass
 PROC Home
 This Issue

Next Article
Computation of heteroclinic orbits between normally hyperbolic invariant 3spheres foliated by 2dimensional invariant Tori in Hill's problem
New evolution equations for nonlinear water waves in general bathymetry with application to steady travelling solutions in constant, but arbitrary, depth
1.  School of Naval Architecture & Marine Engineering, National Technical University of Athens, Heroon Polytechniou 9, Athens 15773, Greece 
2.  School of Technological Applications, Technological Educational Institute of Athens, Greece 
[1] 
Elena Kartashova. Nonlinear resonances of water waves. Discrete & Continuous Dynamical Systems  B, 2009, 12 (3) : 607621. doi: 10.3934/dcdsb.2009.12.607 
[2] 
R. S. Johnson. A selection of nonlinear problems in water waves, analysed by perturbationparameter techniques. Communications on Pure & Applied Analysis, 2012, 11 (4) : 14971522. doi: 10.3934/cpaa.2012.11.1497 
[3] 
Dan Endres, Martin Kummer. Nonlinear normal modes for the isosceles DST. Conference Publications, 1998, 1998 (Special) : 231241. doi: 10.3934/proc.1998.1998.231 
[4] 
Santosh Bhattarai. Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations. Discrete & Continuous Dynamical Systems  A, 2016, 36 (4) : 17891811. doi: 10.3934/dcds.2016.36.1789 
[5] 
Robert McOwen, Peter Topalov. Asymptotics in shallow water waves. Discrete & Continuous Dynamical Systems  A, 2015, 35 (7) : 31033131. doi: 10.3934/dcds.2015.35.3103 
[6] 
Calin Iulian Martin. A Hamiltonian approach for nonlinear rotational capillarygravity water waves in stratified flows. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 387404. doi: 10.3934/dcds.2017016 
[7] 
Walter A. Strauss. Vorticity jumps in steady water waves. Discrete & Continuous Dynamical Systems  B, 2012, 17 (4) : 11011112. doi: 10.3934/dcdsb.2012.17.1101 
[8] 
Jerry L. Bona, Henrik Kalisch. Models for internal waves in deep water. Discrete & Continuous Dynamical Systems  A, 2000, 6 (1) : 120. doi: 10.3934/dcds.2000.6.1 
[9] 
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 
[10] 
Martina ChirilusBruckner, Guido Schneider. Interaction of oscillatory packets of water waves. Conference Publications, 2015, 2015 (special) : 267275. doi: 10.3934/proc.2015.0267 
[11] 
Jonathan J. Wylie, Robert M. Miura, Huaxiong Huang. Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 561569. doi: 10.3934/dcds.2009.23.561 
[12] 
Nghiem V. Nguyen, ZhiQiang Wang. Existence and stability of a twoparameter family of solitary waves for a 2coupled nonlinear Schrödinger system. Discrete & Continuous Dynamical Systems  A, 2016, 36 (2) : 10051021. doi: 10.3934/dcds.2016.36.1005 
[13] 
Tetsu Mizumachi, Dmitry Pelinovsky. On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  S, 2012, 5 (5) : 971987. doi: 10.3934/dcdss.2012.5.971 
[14] 
Vincent Duchêne, Samer Israwi, Raafat Talhouk. Shallow water asymptotic models for the propagation of internal waves. Discrete & Continuous Dynamical Systems  S, 2014, 7 (2) : 239269. doi: 10.3934/dcdss.2014.7.239 
[15] 
AncaVoichita Matioc. On particle trajectories in linear deepwater waves. Communications on Pure & Applied Analysis, 2012, 11 (4) : 15371547. doi: 10.3934/cpaa.2012.11.1537 
[16] 
Jerry L. Bona, Thierry Colin, Colette Guillopé. Propagation of longcrested water waves. Discrete & Continuous Dynamical Systems  A, 2013, 33 (2) : 599628. doi: 10.3934/dcds.2013.33.599 
[17] 
Miles H. Wheeler. On stratified water waves with critical layers and Coriolis forces. Discrete & Continuous Dynamical Systems  A, 2019, 39 (8) : 47474770. doi: 10.3934/dcds.2019193 
[18] 
Jifeng Chu, Joachim Escher. Steady periodic equatorial water waves with vorticity. Discrete & Continuous Dynamical Systems  A, 2019, 39 (8) : 47134729. doi: 10.3934/dcds.2019191 
[19] 
Angel Castro, Diego Córdoba, Charles Fefferman, Francisco Gancedo, Javier GómezSerrano. Structural stability for the splash singularities of the water waves problem. Discrete & Continuous Dynamical Systems  A, 2014, 34 (12) : 49975043. doi: 10.3934/dcds.2014.34.4997 
[20] 
Mats Ehrnström, Gabriele Villari. Recent progress on particle trajectories in steady water waves. Discrete & Continuous Dynamical Systems  B, 2009, 12 (3) : 539559. doi: 10.3934/dcdsb.2009.12.539 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]