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| 008 | 170212s2015 gw | s |||| 0|eng d | ||
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_a9783319199351 _9978-3-319-19935-1 |
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_a10.1007/978-3-319-19935-1 _2doi |
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| 040 |
_aSpringer _cSpringer _dRU-ToGU |
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_aMAT007000 _2bisacsh |
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_a515.353 _223 |
| 100 | 1 |
_aWayne, C. Eugene. _eauthor. _9466855 |
|
| 245 | 1 | 0 |
_aDynamics of Partial Differential Equations _helectronic resource _cby C. Eugene Wayne, Michael I. Weinstein. |
| 250 | _a1st ed. 2015. | ||
| 260 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
||
| 300 |
_aX, 79 p. 14 illus., 12 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aFrontiers in Applied Dynamical Systems: Reviews and Tutorials, _x2364-4532 ; _v3 |
|
| 520 | _aThis 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. | ||
| 650 | 0 |
_amathematics. _9566183 |
|
| 650 | 0 |
_aDynamics. _9460472 |
|
| 650 | 0 |
_aErgodic theory. _9461180 |
|
| 650 | 0 |
_aPartial Differential Equations. _9303602 |
|
| 650 | 1 | 4 |
_aMathematics. _9566184 |
| 650 | 2 | 4 |
_aPartial Differential Equations. _9303602 |
| 650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _9303500 |
| 700 | 1 |
_aWeinstein, Michael I. _eauthor. _9466856 |
|
| 710 | 2 |
_aSpringerLink (Online service) _9143950 |
|
| 773 | 0 | _tSpringer eBooks | |
| 830 | 0 |
_aFrontiers in Applied Dynamical Systems: Reviews and Tutorials, _9466146 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-19935-1 |
| 912 | _aZDB-2-SMA | ||
| 999 | _c414800 | ||