By S. L. Gavrilyuk,N.I. Makarenko,S.V. Sukhinin

Starting with the elemental notions and evidence of the mathematical conception of waves illustrated through a number of examples, routines, and strategies of fixing normal difficulties Chapters 1 & 2 express e.g. how one can realize the hyperbolicity estate, locate features, Riemann invariants and  conservation legislation for  quasilinear structures of equations, build and study options with susceptible or powerful discontinuities, and the way to enquire equations with dispersion and to build traveling wave ideas for types reducible to nonlinear evolution equations.

Chapter three offers with floor and inner waves in an incompressible fluid. The potency of mathematical tools is proven on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids.

The self-contained displays of the fabric is complemented through two hundred+ difficulties of alternative point of trouble, a number of illustrations, and bibliographical recommendations.

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