000 02377nam a22004098i 4500
001 CR9781107050242
003 UkCbUP
005 20200124160218.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 130326s1996||||enk o ||1 0|eng|d
020 _a9781107050242 (ebook)
020 _z9780521435161 (hardback)
020 _z9780521435222 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
041 1 _aeng
_hrus
050 0 0 _aQA401
_b.B3713 1996
082 0 0 _a530.1/5
_220
100 1 _aBarenblatt, G. I.,
_eauthor.
240 1 0 _aPodobie, avtomodel'nost', promezhutochnai︠a︡ asimptotika.
_lEnglish
245 1 0 _aScaling, self-similarity, and intermediate asymptotics /
_cGrigory Isaakovich Barenblatt.
246 3 _aScaling, Self-similarity, & Intermediate Asymptotics
264 1 _aCambridge :
_bCambridge University Press,
_c1996.
300 _a1 online resource (xv, 386 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge texts in applied mathematics ;
_v14
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aScaling laws reveal the fundamental property of phenomena, namely self-similarity - repeating in time and/or space - which substantially simplifies the mathematical modelling of the phenomena themselves. This book begins from a non-traditional exposition of dimensional analysis, physical similarity theory, and general theory of scaling phenomena, using classical examples to demonstrate that the onset of scaling is not until the influence of initial and/or boundary conditions has disappeared but when the system is still far from equilibrium. Numerous examples from a diverse range of fields, including theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are presented for which the ideas of scaling, intermediate asymptotics, self-similarity, and renormalisation were of decisive value in modelling.
650 0 _aMathematical physics.
650 0 _aDimensional analysis.
650 0 _aDifferential equations
_xAsymptotic theory.
776 0 8 _iPrint version:
_z9780521435161
830 0 _aCambridge texts in applied mathematics ;
_v14.
856 4 0 _uhttps://doi.org/10.1017/CBO9781107050242
999 _c516469
_d516467