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On initialboundary value problems for a Boussinesq system of BBMBBM type in a plane domain
A twophase problem for capillarygravity waves and the BenjaminOno equation
1.  Department of Mathematics, Graduate School of Science and Engineering, Tokyo Institute of Technology, 2121 Ohokayama, Meguroku, Tokyo 1528551, Japan 
2.  Department of Mathematics, Faculty of Science and Technology, Keio University, 3141 Hiyoshi, Kohokuku, Yokohama 2238522, Japan 
[1] 
Amin Esfahani, Steve Levandosky. Solitary waves of the rotationgeneralized BenjaminOno equation. Discrete and Continuous Dynamical Systems, 2013, 33 (2) : 663700. doi: 10.3934/dcds.2013.33.663 
[2] 
Jerry L. Bona, Angel Durán, Dimitrios Mitsotakis. Solitarywave solutions of BenjaminOno and other systems for internal waves. I. approximations. Discrete and Continuous Dynamical Systems, 2021, 41 (1) : 87111. doi: 10.3934/dcds.2020215 
[3] 
Dongfeng Yan. KAM Tori for generalized BenjaminOno equation. Communications on Pure and Applied Analysis, 2015, 14 (3) : 941957. doi: 10.3934/cpaa.2015.14.941 
[4] 
Jerry Bona, H. Kalisch. Singularity formation in the generalized BenjaminOno equation. Discrete and Continuous Dynamical Systems, 2004, 11 (1) : 2745. doi: 10.3934/dcds.2004.11.27 
[5] 
Alan Compelli, Rossen Ivanov. BenjaminOno model of an internal wave under a flat surface. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 45194532. doi: 10.3934/dcds.2019185 
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Eddye Bustamante, José Jiménez Urrea, Jorge Mejía. The Cauchy problem for a family of twodimensional fractional BenjaminOno equations. Communications on Pure and Applied Analysis, 2019, 18 (3) : 11771203. doi: 10.3934/cpaa.2019057 
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Sondre Tesdal Galtung. A convergent CrankNicolson Galerkin scheme for the BenjaminOno equation. Discrete and Continuous Dynamical Systems, 2018, 38 (3) : 12431268. doi: 10.3934/dcds.2018051 
[8] 
José R. Quintero, Alex M. Montes. Exact controllability and stabilization for a general internal wave system of BenjaminOno type. Evolution Equations and Control Theory, 2022, 11 (3) : 681709. doi: 10.3934/eect.2021021 
[9] 
Nakao Hayashi, Pavel Naumkin. On the reduction of the modified BenjaminOno equation to the cubic derivative nonlinear Schrödinger equation. Discrete and Continuous Dynamical Systems, 2002, 8 (1) : 237255. doi: 10.3934/dcds.2002.8.237 
[10] 
Robert Schippa. On the Cauchy problem for higher dimensional BenjaminOno and ZakharovKuznetsov equations. Discrete and Continuous Dynamical Systems, 2020, 40 (9) : 51895215. doi: 10.3934/dcds.2020225 
[11] 
Lufang Mi, Kangkang Zhang. Invariant Tori for BenjaminOno Equation with Unbounded quasiperiodically forced Perturbation. Discrete and Continuous Dynamical Systems, 2014, 34 (2) : 689707. doi: 10.3934/dcds.2014.34.689 
[12] 
G. Fonseca, G. RodríguezBlanco, W. Sandoval. Wellposedness and illposedness results for the regularized BenjaminOno equation in weighted Sobolev spaces. Communications on Pure and Applied Analysis, 2015, 14 (4) : 13271341. doi: 10.3934/cpaa.2015.14.1327 
[13] 
Thomas Kappeler, Riccardo Montalto. Normal form coordinates for the BenjaminOno equation having expansions in terms of pseudodifferential operators. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022048 
[14] 
Jan Prüss, Jürgen Saal, Gieri Simonett. Singular limits for the twophase Stefan problem. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 53795405. doi: 10.3934/dcds.2013.33.5379 
[15] 
Marianne Korten, Charles N. Moore. Regularity for solutions of the twophase Stefan problem. Communications on Pure and Applied Analysis, 2008, 7 (3) : 591600. doi: 10.3934/cpaa.2008.7.591 
[16] 
Luc Molinet, Francis Ribaud. Wellposedness in $ H^1 $ for generalized BenjaminOno equations on the circle. Discrete and Continuous Dynamical Systems, 2009, 23 (4) : 12951311. doi: 10.3934/dcds.2009.23.1295 
[17] 
V. S. Manoranjan, HongMing Yin, R. Showalter. On twophase Stefan problem arising from a microwave heating process. Discrete and Continuous Dynamical Systems, 2006, 15 (4) : 11551168. doi: 10.3934/dcds.2006.15.1155 
[18] 
Feng Ma, Mingfang Ni. A twophase method for multidimensional number partitioning problem. Numerical Algebra, Control and Optimization, 2013, 3 (2) : 203206. doi: 10.3934/naco.2013.3.203 
[19] 
Changyan Li, Hui Li. Wellposedness of the twophase flow problem in incompressible MHD. Discrete and Continuous Dynamical Systems, 2021, 41 (12) : 56095632. doi: 10.3934/dcds.2021090 
[20] 
Jerry L. Bona, Laihan Luo. Largetime asymptotics of the generalized BenjaminOnoBurgers equation. Discrete and Continuous Dynamical Systems  S, 2011, 4 (1) : 1550. doi: 10.3934/dcdss.2011.4.15 
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