Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems
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[1] G. Ponce,et al. Introduction to Nonlinear Dispersive Equations , 2009 .
[2] Luis Vega,et al. A bilinear estimate with applications to the KdV equation , 1996 .
[3] Herbert Koch,et al. Local Smoothing and Local Solvability for Third Order Dispersive Equations , 2007, SIAM J. Math. Anal..
[4] C. Amick,et al. Regularity and uniqueness of solutions to the Boussinesq system of equations , 1984 .
[5] Cora Sadosky. Smoothing Properties of Solutions to the Benjamin-Ono Equation , 1989 .
[6] E. Stein. Singular Integrals and Di?erentiability Properties of Functions , 1971 .
[7] Tosio Kato,et al. Commutator estimates and the euler and navier‐stokes equations , 1988 .
[8] Li Xu,et al. The Cauchy problem on large time for surface waves Boussinesq systems , 2012 .
[9] Herbert Koch,et al. Dispersion Estimates for Third Order Equations in Two Dimensions , 2003 .
[10] J. Boussinesq,et al. Théorie des ondes et des remous qui se propagent le long d'un canal rectangulaire horizontal, en communiquant au liquide contenu dans ce canal des vitesses sensiblement pareilles de la surface au fond. , 1872 .
[11] Jean-Claude Saut,et al. On some Boussinesq systems in two space dimensions: theory and numerical analysis , 2007 .
[12] D. Lannes,et al. A P ] 1 N ov 2 00 7 Large time existence for 3 D water-waves and asymptotics , 2007 .
[13] Philippe Guyenne,et al. Hamiltonian long‐wave expansions for free surfaces and interfaces , 2005 .
[14] Luis Vega,et al. Well-posedness of the initial value problem for the Korteweg-de Vries equation , 1991 .
[15] Tohru Ozawa,et al. On small amplitude solutions to the generalized Boussinesq equations , 2006 .
[16] C. Kenig,et al. Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle , 1993 .
[17] M. Schonbek,et al. Existence of solutions for the boussinesq system of equations , 1981 .
[18] Prabir Daripa,et al. A class of model equations for bi-directional propagation of capillary–gravity waves , 2003 .
[19] Jean-Claude Saut,et al. ON A MODEL SYSTEM FOR THE OBLIQUE INTERACTION OF INTERNAL GRAVITY WAVES , 2000 .
[20] Lizhong Peng,et al. Decay estimates for a class of wave equations , 2008, 0802.3167.
[21] Jerry L. Bona,et al. A KdV-type Boussinesq system: From the energy level to analytic spaces , 2009 .
[22] Luis Vega,et al. Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations , 1998 .
[23] Ping Zhang,et al. Long-Time Existence of Solutions to Boussinesq Systems , 2012, SIAM J. Math. Anal..
[24] Thierry Colin,et al. Long Wave Approximations for Water Waves , 2005 .
[25] Luis Vega,et al. Small solutions to nonlinear Schrödinger equations , 1993 .
[26] Luis Vega,et al. Oscillatory integrals and regularity of dispersive equations , 1991 .
[27] J. Bona,et al. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory , 2004 .
[28] Min Chen,et al. Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory , 2002, J. Nonlinear Sci..
[29] Jean-Claude Saut,et al. Asymptotic Models for Internal Waves , 2007, 0712.3920.