Computations of shortwaves in shallow water, Coast. Eng. Proc, pp.414-433, 1978. ,
Large time existence for 3d water-waves and asymptotics, Invent. math, vol.171, pp.485-541, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00128402
MITSOTAKIS Initial-boundary-value problems for the bona-smith family of boussinesq systems, Advances Diff. Equations, vol.14, pp.27-53, 2009. ,
Artificial boundary conditions for the linearized Benjamin-Bona-Mahony equation, Numerische Mathematik, vol.139, pp.281-314, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01305360
Discrete transparent boundary conditions for the mixed KDVBBM equation, J. Comp. Phys, vol.345, pp.484-509, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01373388
Velocity potential formulations of highly accurate Boussinesq-type models, Coast. Eng, vol.56, pp.467-478, 2009. ,
A Boussinesq system for two-way propagation of nonlinear dispersive waves, Physica D, vol.116, pp.191-224, 1998. ,
Long wave approximations for water waves, Arch. Ration. Mech. Anal, vol.178, pp.373-410, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00258833
Boussinesq equations and other systems for small amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory, J. Nonlinear Sci, vol.12, pp.283-318, 2002. ,
Boussinesq equations and other systems for small amplitude long waves in nonlinear dispersive media, Nonlinearity, vol.17, pp.925-952, 2004. ,
Waves interacting with a partially immersed obstacle in the Boussinesq regime ,
URL : https://hal.archives-ouvertes.fr/hal-02015531
On the nonlinear behaviour of boussinesq type models: Amplitude-velocity vs amplitude-flux forms, Coastal Engineering, vol.99, pp.109-123, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01140635
A shallow water approximation for water waves, J. Math. Kyoto Univ, vol.49, pp.13-55, 2009. ,
Hyperbolic free boundary problems and applications to wave-structure interactions ,
URL : https://hal.archives-ouvertes.fr/hal-01818940
Dispersive models of ocean waves propagation: Numerical issues and modelling, 2018. ,
URL : https://hal.archives-ouvertes.fr/tel-01939447
The Water Waves Problem: Mathematical Analysis and Asymptotics, Mathematical Surveys and Monographs, vol.188, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01101991
A new class of fully nonlinear and weakly dispersive greenânaghdi models for efficient 2d simulations, J. Comput. Phys, vol.282, pp.238-268, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00932858
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations, J. Éc. polytech. Math, vol.5, pp.455-518, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01614321
Wellposedness of the sixth order boussinesq equation with nonhomogeneous boundary values on a bounded domain, Physica D: Nonlinear Phenomena, 2018. ,
Boundary value problems for quasilinear hyperbolic systems, Duke University Mathematics ser, vol.5, 1985. ,
URL : https://hal.archives-ouvertes.fr/inria-00076486
Theoretical and Numerical Study of Shallow Water Models. Applications to Nearshore Hydrodynamics, PhD Dissertation, 2005. ,
The one-dimensional shallow water equations with transparent boundary conditions, Mathematical Methods in the Applied Sciences, vol.36, pp.1979-1994, 2013. ,
Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries, J.Comput. Phys, vol.271, pp.306-341, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00826912
Generation of waves in boussinesq models using a source function method, Coastal Engineering, vol.36, pp.271-299, 1999. ,
The initial-boundary value problem for the âgoodâ boussinesq equation on the bounded domain, Journal of Mathematical Analysis and Applications, vol.343, pp.975-995, 2008. ,
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