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  3. Attractors of Hamiltonian Nonlinear Partial Differential Equations
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    • Publisher:
      Cambridge University Press
      Publication date:
      September 2021
      September 2021
      ISBN:
      9781009025454
      9781316516911
      DOI:
      https://doi.org/10.1017/9781009025454
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.5kg, 230 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Tracts in Mathematics (224)
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Physics and Astronomy, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Tracts in Mathematics (224)
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    Book description

    This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research.

    Reviews

    ‘It will be a very useful reference for graduate students and mathematicians working in partial differential equations and mathematical physics.’

    Denise Huet Source: zbMATH

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