- Chambéry, Rhône-Alpes, France
Denys Dutykh
Savoie University, LAMA UMR 5127, Faculty Member
Research Interests:
... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technology is ... 2005) 9. Ghidaglia, JM, Kumbaro, A., Coq, GL: On the numerical solution to ... Dias, F.: Comparison between three-dimensional... more
... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technology is ... 2005) 9. Ghidaglia, JM, Kumbaro, A., Coq, GL: On the numerical solution to ... Dias, F.: Comparison between three-dimensional linear and nonlin-ear tsunami generation models. ...
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal co-seismic displacements... more
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal co-seismic displacements are neglected in the absence of landslides. In the present study we propose a novel methodology for reconstructing all components of the bottom
Research Interests:
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal displacements are... more
The main reason for the generation of tsunamis is the deformation of the bottom of the ocean caused by an underwater earthquake. Usually, only the vertical bottom motion is taken into accound while the horizontal displacements are neglected. In the present paper we study both the vertical and the horizontal bottom motion while we propose a novel methodology for reconstructing
Research Interests:
Research Interests:
Research Interests:
Research Interests:
... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technology is ... 2005) 9. Ghidaglia, JM, Kumbaro, A., Coq, GL: On the numerical solution to ... Dias, F.: Comparison between three-dimensional... more
... to classical Nonlinear Shallow Water Equations (NSWE) for which the runup simulation technology is ... 2005) 9. Ghidaglia, JM, Kumbaro, A., Coq, GL: On the numerical solution to ... Dias, F.: Comparison between three-dimensional linear and nonlin-ear tsunami generation models. ...
Research Interests:
To study how nonlinear waves propagate across Y- and T-type junctions, we consider the two-dimensional (2D) sine-Gordon equation as a model and examine the crossing of kinks and breathers. Comparing energies for different geometries... more
To study how nonlinear waves propagate across Y- and T-type junctions, we consider the two-dimensional (2D) sine-Gordon equation as a model and examine the crossing of kinks and breathers. Comparing energies for different geometries reveals that, for small widths, the angle of the fork plays no role. Motivated by this, we introduce a one-dimensional effective model whose solutions agree well with the 2D simulations for kink and breather solutions. These exhibit two different behaviors: a kink crosses if it has sufficient energy; conversely a breather crosses when v>1-ω, where v and ω are, respectively, its velocity and frequency. This methodology can be generalized to more complex nonlinear wave models.