Dynamics of Evolutionary Equations

The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations that attempt to model phenomena that change with time. The infiĀ­ nite dimensional asp

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Advisors J.K. Hale P. Holmes J. Keener J. Keller B.1 . Matkowsky A. Mielke

C.S . Peskin K.R.S. Sreenivasan

Springer Science+Business Media, LLC

Applied Mathematical Sciences I. John: Partial Differential Equations. 4th ed. 2. Sirovich: Techniques of Asymptotic Analysis. 3. Hale: Theory of Functional Differential Equations. 2nded. 4. Percus: Combinatorial Methods. 5. von MisesIFriedrichs: Fluid Dynamics. 6. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. 7. Pipkin: Lectures on Viscoelasticity Theory. 8. Giacaglia: Perturbation Methods in Non-linear Systems. 9. Friedrichs: Spectral Theory of Operators in Hilbert Space. 10. Stroud: Nwnerical Quadrature and Solution of Ordinary Differential Equations. II. Wolovich: Linear Multivariable Systems. 12. Berkovitz: Optimal Control Theory. 13. BlumaniCole: Similarity Methods for Differential Equations. 14. Yoshizawa: 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. Collatz/Wellerling: Optimization Problems. 18. Grenander: Pattern Synthesis: Lectures in Pattern Theory. Vol. I. 19. MarsdenIMcCracken: Hopf Bifurcation and Its Applications. 20. Driver: Ordinary and Delay Differential Equations. 21. Courant/Friedrichs: Supersonic Flow and Shock Waves. 22. RouchelHabetsiLaloy: 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. Vol. n. 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. Rev. ed. 28. Keilson: Markov Chain Models-Rarity and Exponentiality. 29. de Veubeke: A Course in Elasticity. 30. Sniarycki: GeOIretric Quantization and Quantum Mechanics. 31. Reid: Sturmian Theory for Ordinary Differential Equations. 32. MeisIMarkowitz: Nwnerical Solution of Partial Differential Equations.

33. Grenander: Regular Structures: Lectures in Pattern Theory. Vol. m. 34. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. 35. Carr: Applications of Centre Manifold Theory. 36. BengtssoniGhiVKiillen: Dynamic Meteorology: Data AssimiIation Methods. 37. Saperstone: Semidynamical Systems in Infinite Dimensional Spaces. 38. Lichtenberg/Lieberman: Regular and Chaotic Dynamics. 2nd ed. 39. PicciniiStampacchiaIVidossich: Ordinary Differential Equations in RD. 40. Naylor/Sell: Linear Operator Theory in Engineering and Science. 41. Sparrow: The Lorenz Equations: Bifurcations. Chaos. and Strange Attractors. 42. Guckenheimer/Holmes: Noulinear Oscillations. Dynamical Systems. and Bifurcations of Vector Fields. 43. Ockendonlfaylor: Inviscid Fluid Flows. 44. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations. 45. GlashofJIGustafson: Linear Operations and Approximation: An Introduction to the The