Fluid Dynamics of Viscoelastic Liquids
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; s
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J.E. Marsden
L. Sirovich
Advisors M. Ghil J.K. Hale J. Keller K. Kirchgiissner B. Matkowsky J.T. Stuart A. Weinstein
Applied Mathematical Sciences
I. John: Partial Differential Equations, 4th ed. 2. Sirovich: Techniques of Asymptotic Analysis. 3. Hale: Theory of Functional Differential Equations. 2nd ed. 4. Percus: Combinatorial Methods. 5. von Mises/Friedrichs: Fluid Dynamics. 6. Freiberxer/Grenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. II. Wolo••ich: Linear Multivariable Systems. 12. Berk01•itz: Optimal Control Theory. 13. Bluman/Co/e: Similarity Methods for Differential Equations. 14. lf>shizawa: Stability Theory and the Existence of Periodic Solution and Almost Periodic Solutions. 15. Braun: Differential Equations and Their Applications. 3rd ed. 16. Lefschetz: Applications of Algebraic Topology. 17. Col/atz!Wetterlinx: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory. Vol I. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/ Friedrichs: Supersonic Flow and Shock Waves.' 22. Rouche!Habets/Lalo•·: Stability Theory by Liapunov's Direct Method. 23. Lamperti: Stochastic Processes: A Survey of the Maihematical Theory. 24. Grenander: Pattern Analysis: Lectures in Pattern Theory. Vol. II. 25. Davies: Integral Transforms and Their Applications, 2nd ed. 26. Kushner/Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems 27. de Boor: A Practical Guide to Splines. 28. Keilson: Markov Chain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Sniatycki: 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. Vol. Ill. 34. Kevorkian!Co/e: Perturbation methods in Applied Mathematics. 35. Carr: Applications of Centre Manifold Theory. 36. Benxtsson/Ghi/!Kiil/en: Dynamic Meteorology: Data Assimilation Methods. 37. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. 38. Lichtenberx!Lieberman: Regular and Stochastic Motion. 39. Piccini/Stampacchia/Vidossich: Ordinary Differential Equations in R'. 40. Naylor/Sell: Linear Operator Theory in Engineering and Science. 41. Sparrow: The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors. 42. Guckenheimer/Holmes: Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. 43. Ockendon/Tay/er: lnviscid fluid flows. 44. Pa:l': Semigroups of Linear Operators and Applications to Partial Differential Equations. 45. GlmlwjJIGustafson: Linear Optimization and Approximation: An Introduction to the Theoretical Analysis and Numerical Treatment of Semi-Infinite Programs. 46. Wilmx: Scattering Theory for Diffraction Gratings. 47. Hale eta/.: An Introduction to Infinite Dimensional Dynamical Systems-Geometric Theory. 48. Murray: Asymptot
