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1. |
Record Nr. |
UNINA9910584300403321 |
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Autore |
Bykov, Alex |
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Titolo |
Soviet modernism, brutalism, post-modernism : buildings and structures in Ukraine 1955–1991 / Alex Bykov, Ievgeniia Gubkina |
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Pubbl/distr/stampa |
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Kyiv, : Osnovy |
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Berlin, : DOM publishers, 2019 |
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ISBN |
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Descrizione fisica |
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Altri autori (Persone) |
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Locazione |
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Collocazione |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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2. |
Record Nr. |
UNINA9910299786203321 |
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Autore |
Wayne C. Eugene |
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Titolo |
Dynamics of partial differential equations / / by C. Eugene Wayne, Michael I. Weinstein |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (90 p.) |
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Collana |
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Frontiers in Applied Dynamical Systems: Reviews and Tutorials, , 2364-4532 ; ; 3 |
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Disciplina |
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Soggetti |
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Differential equations, Partial |
Dynamics |
Ergodic theory |
Partial Differential Equations |
Dynamical Systems and Ergodic Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters. |
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Nota di contenuto |
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Preface to the Series; Preface; Contents; 1 Dynamical Systems and the Two-Dimensional Navier-Stokes Equations; 1 Introduction; 2 The ω-limit set of the two-dimensional Navier-Stokes equation; 3 Metastable states, pseudo-spectrum and intermediate time scales; 4 Finite Dimensional Attractors for the Navier-Stokes equations; References; 2 Localized States and Dynamics in the Nonlinear Schrödinger/Gross-Pitaevskii Equation; 1 Introduction; 1.1 Outline; 2 NLS and NLS/GP; 3 Bound States - Linear and Nonlinear; 3.1 Linear bound states; 3.2 Nonlinear bound states |
3.3 Orbital stability of nonlinear bound states3.4 The free soliton of focusing NLS: V0 and g=-1; 3.5 V(x), a simple potential well; model of a pinned nonlinear defect mode; 3.6 NLS/GP: Double-well potential with separation, L; 3.7 NLS/GP: V(x) periodic and the bifurcations from the spectral band edge; 4 Soliton/Defect Interactions; 5 Resonance, radiation damping and infinite time dynamics; 5.1 Simple model - part 1: Resonant energy exchange between an oscillator and a wave-field; 5.2 Simple model - part 2: Resonance, Effective damping, and Perturbations of Eigenvalues in Continuous Spectra |
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6 Ground state selection and energy equipartition in NLS/GP6.1 Linearization of NLS/GP about the ground state; 6.2 Ground state selection and energy equipartition; 7 A nonlinear toy model of nonlinearity-induced energy transfer; 8 Concluding remarks; References |
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Sommario/riassunto |
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This book contains two review articles on the dynamics of partial differential equations that deal with closely related topics but can be read independently. Wayne reviews recent results on the global dynamics of the two-dimensional Navier-Stokes equations. This system exhibits stable vortex solutions: the topic of Wayne's contribution is how solutions that start from arbitrary initial conditions evolve towards stable vortices. Weinstein considers the dynamics of localized states in nonlinear Schrodinger and Gross-Pitaevskii equations that describe many optical and quantum systems. In this contribution, Weinstein reviews recent bifurcations results of solitary waves, their linear and nonlinear stability properties, and results about radiation damping where waves lose energy through radiation. The articles, written independently, are combined into one volume to showcase the tools of dynamical systems theory at work in explaining qualitative phenomena associated with two classes of partial differential equations with very different physical origins and mathematical properties. |
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