Shallow Water Waves: Linearization and Disturbances

This lecture covers the linearization of shallow water wave equations under the hypotheses of a perfect, incompressible fluid and small disturbances. It discusses the impact of variable depth on the propagation velocity of waves, illustrated with examples from the 2004 Sumatra earthquake and tsunami. The instructor explains the concept of slow variations of terms with ε and the symbolization of term 'smallness' in equations.