Tsunami Wave Excitation by a Local Floor Disturbance

Abstract

This paper presents the modeling of tsunami wave generation by a bottom displacement in three-dimensional settlement taking into account elastic floor. The corresponding initial boundary value problem is solved and analyzed. The IBV-problem based on the shallow water wave model and the problem of nonlinear-dispersive waves over an excitable bottom are discussed and first order asymptotic approximations describing the problem are presented. A new type earthquake wave model is presented and analyzed. The existence of the solutions of jump type is established which can lead to triggering phenomena. Undeterminacy to state the initial boundary value problems for tsunami generation is discussed.