In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
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Inside This Book
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First Sentence:
This chapter is devoted to the presentation of general results and concepts on invariant sets and attractors. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
exact inertial manifold, functional invariant sets, maximal attractor, pattern formation equations, spectral gap condition, absorbing set, heteroclinic curves, absorbing ball, first variation equation, mathematical object describing, inertial manifolds, bilinear continuous form, prepared equation, linear unbounded operator, asymptotic compactness, backward uniqueness, cone property, squeezing property, universal attractor, normal mode initialization, dissipative equations, global attractor, compact attractor, uniformly differentiable, strict contraction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Attractors of the Dissipative Evolution Equation, Elements of Functional Analysis, Korteweg-de Vries, Explicit Bounds, Hence Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter is devoted to the presentation of general results and concepts on invariant sets and attractors. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
exact inertial manifold, functional invariant sets, maximal attractor, pattern formation equations, spectral gap condition, absorbing set, heteroclinic curves, absorbing ball, first variation equation, mathematical object describing, inertial manifolds, bilinear continuous form, prepared equation, linear unbounded operator, asymptotic compactness, backward uniqueness, cone property, squeezing property, universal attractor, normal mode initialization, dissipative equations, global attractor, compact attractor, uniformly differentiable, strict contraction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Attractors of the Dissipative Evolution Equation, Elements of Functional Analysis, Korteweg-de Vries, Explicit Bounds, Hence Theorem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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77
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- Trends and Perspectives in Applied Mathematics (Applied Mathematical Sciences) by Lawrence Sirovich in Back Matter (1), and Back Matter (2)
- Pure Mathematics: Detailed Solutions to Advanced Level Questions by D. Murray in Back Matter (1), and Back Matter (2)
- Navier-Stokes Equations (Chicago Lectures in Mathematics) by Peter Constantin on page 479, and page 528
- Studies in Mathematical Physics. Essays in Honor of Valentine Bargmann. by E.H. et al. (eds) Lieb in Back Matter (1), and Back Matter (2)
- Partial Differential Equations: Analytical Solution Techniques (Texts in Applied Mathematics) by J. Kevorkian in Front Matter, and Back Matter
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- Chaos Near Resonance by Gyorgy Haller in Back Matter (1), and Back Matter (2)
- Applied Functional Analysis: Main Principles and Their Applications (Applied Mathematical Sciences) by Eberhard Zeidler in Back Matter (1), and Back Matter (2)
- Nonlinear Problems of Elasticity (Applied Mathematical Sciences) by Stuart Antman in Back Matter (1), and Back Matter (2)
- Chaotic Behaviour of Deterministic Dissipative Systems by Milos Marek on page 10, and page 288
- Random Perturbation Methods by Anatoli V. Skorokhod on page
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