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Tsunami Propagation for Singular Topographies by Altybay, Arshyn; Ruzhansky, Michael; Sebih, Mohammed Elamine; Tokmagambetov, Niyaz is a scholarly article available to read on EtoBox.

What is Tsunami Propagation for Singular Topographies about?

We consider a tsunami wave equation with singular coefficients and prove that it has a very weak solution. Moreover, we show the uniqueness results and consistency theorem of the very weak solution with the classical one in some appropriate sense. Numerical experiments are done for the families of regularised problems in one- and two-dimensional cases. In particular, the appearance of a substantial second wave is observed, travelling in the opposite direction from the point/line of singularity. Its structure and strength are analysed numerically. In addition, for the two-dimensional tsunami wave equation, we develop GPU computing algorithms to reduce the computational cost.

Author

Altybay, Arshyn; Ruzhansky, Michael; Sebih, Mohammed Elamine; Tokmagambetov, Niyaz

Published

2020

Language

EN