107 citations · 3.2k across the 144 of their papers we have counts for
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On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
The Boussinesq equations are known since the end of the XIXst century. However, the proliferation of various \textsc{Boussinesq}-type systems started only in the second half of the…
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
Yue Pu, Robert Pego, Denys Dutykh +1
We study a regularization of the classical Saint-Venant (shallow-water) equations, recently introduced by D. Clamond and D. Dutykh (Commun. Nonl. Sci. Numer. Simulat. 55 (2018) 237…
Direct dynamical energy cascade in the modified KdV equation
Denys Dutykh, Elena Tobisch
In this study we examine the energy transfer mechanism during the nonlinear stage of the Modulational Instability (MI) in the modified Korteweg-de Vries equation. The particularity…
On the solution of coupled heat and moisture transport in porous material
Julien Berger, Suelen Gasparin, Denys Dutykh +1
Comparisons of experimental observation of heat and moisture transfer through porous building materials with numerical results have been presented in numerous studies reported in l…
Analysis and improvement of the VTT mold growth model: application to bamboo fiberboard
Julien Berger, Hervé Le Meur, Denys Dutykh +2
The reliability of a model is its accuracy in predicting the physical phenomena using the known input parameters. It also depends on the model's ability to estimate relevant parame…
Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry
Dimitrios Mitsotakis, Denys Dutykh, Li Qian
The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is present…