LeFloch, Math. Hyperbolic Conservation Laws in Continuum Physics. Constantine M. From the reviews of the 3rd edition: "This is the third edition of the famous book by C. II Introduction to Continuum Physics.
IV The Cauchy Problem. FD, F2 Lagrangian and Eulerian descriptions.
Convective material derivative. FD Streamfunctions.
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Potential flows. FD Inviscid flows: Bernoulli's theorem.
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FD Vorticity and the vorticity equation. Minimum Dissipation Theorem. F2 Lubrication theory.
F2 Boundary layer equations. F2 Stability of unidirectional inviscid flows.
General Physics (so even mathematicians can understand it!)
Acheson Oxford , as suggested in the formal prerequisites. Theory of Complex Variables The material in this section is needed for Perturbation Methods , but very useful for other courses in the subject area, too.
Fourier superposition. M Evaluation of integrals using complex variable techniques e. Elementary asymptotic techniques. Dynamical Systems The material in this section is needed for Convection and Magnetoconvection , but is useful for many courses in the subject area.
Nonlinear Continuum Mechanics and Physics
Electromagnetism The material in this section is needed for Convection and Magnetoconvection and Biological Physics and Complex Fluids. Charge conservation. Statistical Physics The material in this section is needed for Theoretical Physics of Soft Condensed Matter , Quantum Fluids ; a basic understanding of statistical physics is required for some sections of Biological Physics and Complex Fluids. SP Grand Canonical Ensemble.
Chemical Potential. SP Boltzmann distribution. Short Courses. Modeling Materials may be purchased online at : Cambridge University Press. Material properties emerge from phenomena on scales ranging from angstroms to millimeters, and only a multiscale treatment can provide a complete understanding.
http://kick-cocoa.info/components/cyfukicos/mahak-come-spiare-un.php Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling.
Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends.