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Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles
Discrete and continuous random water wave dynamics
| 1. | Instituto Nacional de Matemática Pura e Aplicada/IMPA, Est. D. Castorina, 110, J. Botânico, Rio de Janeiro, RJ 22460-320, Brazil |
New results are presented where the potential theory (probabilistic) results for reflection process are tested against Monte Carlo simulations with a hydrostatic Navier-Stokes numerical model. This numerical model is formulated in dimensional variables and was tested in real applications. The challenge in this part of our work was to set the numerical data accordingly with the regime of interest, and compare numerical results with those of the stochastic theory. Statistics with numerically reflected signals were produced through a Monte Carlo simulation. These reflected signals were averaged and compared to results given by the stochastic theory. Very good agreement is observed. Further experiments were performed in an exploratory fashion, hoping to stimulate new research from the Discrete and Continuous Dynamical Systems' readership.
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