000			03036nam a22004935i 4500
001			978-0-387-87809-6
003			DE-He213
005			20140220084456.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9780387878096 _9978-0-387-87809-6
024	7		_a10.1007/978-0-387-87809-6 _2doi
050		4	_aQA370-380
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.353 _223
100	1		_aSachdev, P.L. _eauthor.
245	1	0	_aLarge Time Asymptotics for Solutions of Nonlinear Partial Differential Equations _h[electronic resource] / _cby P.L. Sachdev, Ch. Srinivasa Rao.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aVIII, 231p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aLarge Time Asymptotics for Solutions of Nonlinear First-Order Partial Differential Equations -- Large Time Asymptotic Analysis of Some Nonlinear Parabolic Equations – Some Constructive Approaches -- Self-Similar Solutions as Large Time Asymptotics for Some Nonlinear Parabolic Equations -- Asymptotics in Fluid Mechanics.
520			_aA large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a satisfactory manner. The asymptotic methods dealt with here include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed in some detail here relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its generalizations. A chapter each is devoted to nonlinear diffusion and fluid mechanics. The present book will be found useful by applied mathematicians, physicists, engineers and biologists, and would considerably help understand diverse natural phenomena.
650		0	_aMathematics.
650		0	_aDifferential equations, partial.
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aClassical Continuum Physics.
650	2	4	_aApplications of Mathematics.
700	1		_aSrinivasa Rao, Ch. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387878089
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-87809-6
912			_aZDB-2-SMA
999			_c109838 _d109838