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Learn advanced engineering fluid dynamics through a comprehensive course covering bubble wall motion equations, linear and nonlinear analysis methods, and complex physical phenomena. Master mathematical techniques including real and complex variable methods, Laplace transforms, and perturbation theory while studying bubble dynamics, fluid compressibility, acoustic wave propagation, stability theory, resonance phenomena, bifurcation, and chaos. Explore extreme physical phenomena inside bubbles and develop problem-solving skills through rigorous mathematical derivations and practical applications in fluid mechanics.