Theory of Multicomponent Fluids
In this book, we give a rational treatment of multicomponent materials as intera- ingcontinua.Weoffertwoderivationsoftheequationsofmotionfortheinteracting continua; one which uses the concepts of continua for the components, and one which applies an avera
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lE. Marsden L. Sirovich Advisors
S. Antman lK. Hale P. Holmes T. Kambe l Keller K. Kirchgăssner BJ. Matkowsky C.S. Peskin
Springer-Verlag Berlin Heidelberg GmbH
Applied Mathematical Sciences 1. John: Partial Differential Equations, 4th ed. 2. Simvich: Techniques of Asymptotic AnaIysis. 3. Hale: Theory of Functional Differential Equations, 2nd ed. 4. Percus: Combinatorial Methods. 5. von MiseslFriedrichs: Fluid Dynamics. 6. FreibergerlGrenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacoglia: Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stmud: Numerical Quadrature and Solution of Ordinary Differential Equations. 11. Wolovich: Unear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. BlumaniCole: Similarity Methods for Differential Equations. 14. foshizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications, 3rd ed. 16. Lef~chetz: Applications of Algebraic Topology. 17. CollatzlWetterling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory, VoI. 1. 19. MarsdenlMcCracken: Hopf Bifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. CourantlFriedrichs: Supersonic Flow and Shock Waves. 22. Rouche/HabetslLaloy: Stability Theory by Liapunov's Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. 24. Grenander: Pattern Analysis: Lectures in Pattern Theory, VoI. Il. 25. Davies: Integral Transforms and Their Applications, 2nd ed. 26. KushnerIC/ark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. 27. de Boor: A Practical Gnide to Splines. 28. Keilson: Markov Chain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Shiatycki: Geometric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. Meis/Markowitz: Numerical Solution of Partial Differential Equations. 33. Grenander: Regular Structures: Lectures in Pattern Theory, VoI. m.
34. KevorkianiCole: Perturbation Methods in Applied Mathematics. 35. Carr: Applications of Centre Manifold Theory. 36. Bengts.wnlGhiVKiillen: Dynamic Meteorology: Data Assimilation Methods. 37. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. 38. Lichtenberg/Lieberman: Regular and Chaotic Dynamics, 2nd ed. 39. PiccinilStampacchialVidossich: Ordinary Differential Equations in RO. 40. NaylorlSell: Linear Operator Theory in Engineering and Science. 41. Spa"ow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. 42. GuckenheimerlHolmes: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 43. Ockendon/Taylor: Inviscid Fluid Flows. 44. Puzy: Semigroups of Linear Operators and Applications to Partial Differential Equations. 45. GlashojJlGustafson: Unear Operations and Approximation: An Introduction to the
