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Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves

Dimitrios Mitsotakis
Preprints, Working Papers, ... hal-00370238v3
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On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties

Angel Durán , Denys Dutykh , Dimitrios Mitsotakis
Physica D: Nonlinear Phenomena, 2019, 388, pp.10-21. ⟨10.1016/j.physd.2018.11.007⟩
Journal articles hal-01930748v1
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Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations

Denys Dutykh , Didier Clamond , Paul Milewski , Dimitrios Mitsotakis
European Journal of Applied Mathematics, 2013, 24 (5), pp.761-787. ⟨10.1017/S0956792513000168⟩
Journal articles hal-00587994v4
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A simple introduction to water waves

Dimitrios Mitsotakis
Preprints, Working Papers, ... hal-00805080v2
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Numerical solution of Boussinesq systems of the Bona-Smith family

Dimitrios Antonopoulos , Vassilios Dougalis , Dimitrios Mitsotakis
Preprints, Working Papers, ... hal-00371943v2
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Dimitrios Antonopoulos , Vassilios Dougalis , Dimitrios Mitsotakis
Preprints, Working Papers, ... hal-00371940v1
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Dispersive wave runup on non-uniform shores

Denys Dutykh , Theodoros Katsaounis , Dimitrios Mitsotakis
Finite Volumes for Complex Applications VI Problems & Perspectives, 4, Springer Berlin Heidelberg, pp.389-397, 2011, 978-3-642-20671-9. ⟨10.1007/978-3-642-20671-9_41⟩
Book sections hal-00553762v3
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On the Galerkin / finite-element method for the Serre equations

Dimitrios Mitsotakis , Boaz Ilan , Denys Dutykh
Journal of Scientific Computing, 2014, 61 (1), pp.166-195. ⟨10.1007/s10915-014-9823-3⟩
Journal articles hal-00834064v3
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On the Galilean invariance of some dispersive wave equations

Angel Duran , Denys Dutykh , Dimitrios Mitsotakis
Studies in Applied Mathematics, 2013, 131 (4), pp.359-388. ⟨10.1111/sapm.12015⟩
Journal articles hal-00664143v3
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Peregrine's system revisited

Angel Durán , Denys Dutykh , Dimitrios Mitsotakis
Abcha N., Pelinovsky E., Mutabazi I. Nonlinear Waves and Pattern Dynamics, Springer, pp.3-43, 2018, 978-3-319-78193-8. ⟨10.1007/978-3-319-78193-8_1⟩
Book sections hal-01703491v1
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Regularised shallow water equations with uneven bottom

Didier Clamond , Denys Dutykh , Dimitrios Mitsotakis
Journal of Physics A: Mathematical and Theoretical, 2019, 52, pp.42LT01. ⟨10.1088/1751-8121/ab3eb2⟩
Journal articles hal-02140161v2
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On some model equations for pulsatile flow in viscoelastic vessels

Dimitrios Mitsotakis , Denys Dutykh , Qian Li , Elijah Peach
Wave Motion, 2019, 90, pp.139-151. ⟨10.1016/j.wavemoti.2019.05.004⟩
Journal articles hal-02135521v1
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On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime

Dimitrios Mitsotakis , Denys Dutykh , Aydar Assylbekuly , Dauren Zhakebayev
Physics Letters A, 2017, 381 (20), pp.1719-1726. ⟨10.1016/j.physleta.2017.03.041⟩
Journal articles hal-01388481v3
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On the nonlinear dynamics of the traveling-wave solutions of the Serre system

Dimitrios Mitsotakis , Denys Dutykh , John D. Carter
Wave Motion, 2017, 70, pp.166-182. ⟨10.1016/j.wavemoti.2016.09.008⟩
Journal articles hal-00984035v4
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On the use of finite fault solution for tsunami generation problems

Denys Dutykh , Dimitrios Mitsotakis , Xavier Gardeil , Frédéric Dias
Theoretical and Computational Fluid Dynamics, 2013, 27 (1), pp.177-199. ⟨10.1007/s00162-011-0252-8⟩
Journal articles hal-00509384v3
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On the contribution of the horizontal sea-bed displacements into the tsunami generation process

Denys Dutykh , Dimitrios Mitsotakis , Leonid Chubarov , Yuriy Shokin
Ocean Modelling, 2012, 56, pp.43-56. ⟨10.1016/j.ocemod.2012.07.002⟩
Journal articles hal-00530999v5
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Finite volume schemes for dispersive wave propagation and runup

Denys Dutykh , Theodoros Katsaounis , Dimitrios Mitsotakis
Journal of Computational Physics, 2011, 230 (8), pp.3035-3061. ⟨10.1016/⟩
Journal articles hal-00472431v5
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Dispersive shallow water wave modelling. Part I: Model derivation on a globally flat space

Gayaz Khakimzyanov , Denys Dutykh , Zinaida Fedotova , Dimitrios Mitsotakis
Communications in Computational Physics, 2018, 23 (1), pp.1-29. ⟨10.4208/cicp.OA-2016-0179a⟩
Journal articles hal-01547833v3
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Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry

Dimitrios Mitsotakis , Denys Dutykh , Li Qian
Computers & Mathematics with Applications, 2018, 75 (11), pp.4022-4047. ⟨10.1016/j.camwa.2018.03.011⟩
Journal articles hal-01756720v1
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Finite volume schemes for Boussinesq type equations

Denys Dutykh , Theodoros Katsaounis , Dimitrios Mitsotakis
Colloque EDP-Normandie, Christian Dogbé, Oct 2010, Caen, France
Conference papers hal-00553754v1
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On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization

Angel Durán , Denys Dutykh , Dimitrios Mitsotakis
Physica D: Nonlinear Phenomena, 2019, 397, pp.1-16. ⟨10.1016/j.physd.2019.05.002⟩
Journal articles hal-02123559v1
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Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling

Gayaz Khakimzyanov , Denys Dutykh , Dimitrios Mitsotakis , Nina Shokina
Geosciences, 2019, 9 (5), pp.197. ⟨10.3390/geosciences9050197⟩
Journal articles hal-01223510v6
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Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations

Denys Dutykh , Mark Hoefer , Dimitrios Mitsotakis
Theoretical and Computational Fluid Dynamics, 2018, 32 (3), pp.371-397. ⟨10.1007/s00162-018-0455-3⟩
Journal articles hal-01465356v2
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Adaptive modeling of shallow fully nonlinear gravity waves

Denys Dutykh , Didier Clamond , Dimitrios Mitsotakis
RIMS Kokyuroku, 2015, Mathematical Analysis in Fluid and Gas Dynamics, 1947, pp.45-65
Journal articles hal-01088440v2
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Vassilios Dougalis , Dimitrios Mitsotakis , Jean-Claude Saut
Preprints, Working Papers, ... hal-00407927v1
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On the relevance of the dam break problem in the context of nonlinear shallow water equations

Denys Dutykh , Dimitrios Mitsotakis
Discrete and Continuous Dynamical Systems - Series B, 2010, 13 (4), pp.799-818. ⟨10.3934/dcdsb.2010.13.799⟩
Journal articles hal-00369795v4
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Long wave runup on random beaches

Denys Dutykh , Céline Labart , Dimitrios Mitsotakis
Physical Review Letters, 2011, 107, pp.184504. ⟨10.1103/PhysRevLett.107.184504⟩
Journal articles hal-00606627v3
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Dispersive waves generated by an underwater landslide

Denys Dutykh , Dimitrios Mitsotakis , Sonya Beysel , Nina Shokina
Numerical Methods for Hyperbolic Equations Theory and Applications, University of Santiago de Compostela, Jul 2011, Santiago de Compostela, Spain. pp.245-250
Conference papers hal-00637102v2
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Finite volume methods for unidirectional dispersive wave models

Denys Dutykh , Theodoros Katsaounis , Dimitrios Mitsotakis
International Journal for Numerical Methods in Fluids, 2012, 71 (6), pp.717-736. ⟨10.1002/fld.3681⟩
Journal articles hal-00538043v3