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Mechanics, Applied --- Turbulence --- Mécanique appliquée --- Mechanics, Applied. --- Turbulence. --- Flow, Turbulent --- Turbulent flow --- Applied mechanics --- Engineering, Mechanical --- Fluid dynamics --- Engineering mathematics --- Combustion --- Thermochemistry --- Heat --- Smoke --- Combustion.

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This book deals with blow-up, or at least very rapid growth, of a solution to a system of partial differential equations that arise in practical physics situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Then the book concentrates on mechanics applications. In particular it deals with the Euler equations, Navier--Stokes equations, models for glacier physics, Korteweg--de-Vries equations, and ferro-hydrodynamics. Blow-up is treated in Volterra equations, too, stressing how these equations arise in mechanics, e.g. in combustion theory. The novel topic of chemotaxis in mathematical biology is also presented. There is a chapter on change of type, from hyperbolic to elliptic, addressing three new and important applications: instability in soils, instability in sea ice dynamics, and also instability in pressure-dependent viscosity flow. Finally, the book includes an exposition of exciting work, very recent and on-going, dealing with rapid energy growth in parallel shear flows. The book addresses graduate students as well as researchers in mechanics and applied mathematics.

Mechanics, Applied --- Blow up (Mathematics) --- Mécanique appliquée --- Mathematics. --- Mathématiques --- Blowing up (Algebraic geometry) --- Blowing up (Algebraic geometry). --- Mécanique appliquée --- Mathématiques --- Mechanics. --- Mechanics, Applied. --- Classical Mechanics. --- Theoretical and Applied Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Mechanics, Applied - Mathematics.