000			03299nam a22005175i 4500
001			978-0-8176-4651-6
003			DE-He213
005			20140220084457.0
007			cr nn 008mamaa
008			100601s2010 xxu| s |||| 0|eng d
020			_a9780817646516 _9978-0-8176-4651-6
024	7		_a10.1007/978-0-8176-4651-6 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aGiga, Mi-Ho. _eauthor.
245	1	0	_aNonlinear Partial Differential Equations _h[electronic resource] : _bAsymptotic Behavior of Solutions and Self-Similar Solutions / _cby Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal.
264		1	_aBoston : _bBirkhäuser Boston, _c2010.
300			_aXVIII, 294p. 7 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Nonlinear Differential Equations and Their Applications ; _v79
505	0		_aAsymptotic Behavior of Solutions of Partial Differential Equations -- Behavior Near Time Infinity of Solutions of the Heat Equation -- Behavior Near Time Infinity of Solutions of the Vorticity Equations -- Self-Similar Solutions for Various Equations -- Useful Analytic Tools -- Various Properties of Solutions of the Heat Equation -- Compactness Theorems -- Calculus Inequalities -- Convergence Theorems in the Theory of Integration.
520			_aThe main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier–-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines. Nonlinear Partial Differential Equations will serve as an excellent textbook for a first course in modern analysis or as a useful self-study guide. Key topics in nonlinear partial differential equations as well as several fundamental tools and methods are presented. The only prerequisite required is a basic course in calculus.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aFunctional Analysis.
650	2	4	_aAnalysis.
650	2	4	_aApproximations and Expansions.
700	1		_aGiga, Yoshikazu. _eauthor.
700	1		_aSaal, Jürgen. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817641733
830		0	_aProgress in Nonlinear Differential Equations and Their Applications ; _v79
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4651-6
912			_aZDB-2-SMA
999			_c109899 _d109899