Wave Asymptotics [Hardcover]

This volume contains papers by distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics.Professor Fritz Ursell's retirement was marked by a two-day meeting consisting of invited talks by some of the most distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics from asymptotic methods in anisotropic wave systems, surface wave theory, biological models and differential equations, through to slender body theory, water wave theory and propeller-generated wakes.Professor Fritz Ursell's retirement was marked by a two-day meeting consisting of invited talks by some of the most distinguished researchers in fluid mechanics and asymptotics. The papers collected here outline the development of these topics from asymptotic methods in anisotropic wave systems, surface wave theory, biological models and differential equations, through to slender body theory, water wave theory and propeller-generated wakes.The occasion of Professor Fritz Ursell's retirement was marked by a two-day meeting consisting of invited talks by some of the most distinguished researchers in the various topics of fluid mechanics and asymptotics studied by Professor Ursell throughout his long and distinguished career. The papers collected here outline the development of fluid dynamical topics from asymptotic methods in anisotropic wave systems, surface wave theory, biological models, and differential equations, through to slender body theory, water wave theory propellor-generated wakes.1. Asymptotic behaviour of anisotropic wave systems stimulated by oscillating sources James Lighthill; 2. Uniform asymptotics of oscillating integrals J. N. L. Connor; 3. Approximations and asymptotics for differential equations R. E. Meyer; 4. Converging factors F. W. J. Oliver; 5. Matched asymptotic methods in surface wave theory F. G. Leppington; 6. Asymptotics in some biological modelƒ4