000 03767nam a22005055i 4500
001 978-3-540-46717-5
003 DE-He213
005 20190213151524.0
007 cr nn 008mamaa
008 121227s1989 gw | s |||| 0|eng d
020 _a9783540467175
_9978-3-540-46717-5
024 7 _a10.1007/BFb0024930
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.1
_223
245 1 0 _aPDEs and Continuum Models of Phase Transitions
_h[electronic resource] :
_bProceedings of an NSF-CNRS Joint Seminar Held in Nice, France, January 18–22, 1988 /
_cedited by M. Rascle, D. Serre, M. Slemrod.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1989.
300 _aVII, 232 p. 64 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v344
505 0 _aClusters of singularities in liquid crystals -- Stability analysis of flows of liquid crystal polymers exhibiting a banding structure -- Coupled transverse-longitudinal solitons in elastic crystals -- The computation of the austenitic-martensitic phase transition -- Theory of diffusionless phase transitions -- Invariance properties of inviscid fluids of grade n -- On diffusion in two-phase systems: the sharp interface versus the transition layer -- Instabilities in shear flow of viscoelastic fluids with fading memory -- Singularities of the order parameter in condensed matter physics -- Swelling and shrinking of polyelectrolyte gels -- Adiabatic phase changes, fast and slow -- The continuous structure of discontinuities -- Riemann problems involving undercompressive shocks -- The viscosity-capillarity approach to phase transitions -- A version of the fundamental theorem for young measures -- Very slow phase separation in one dimension.
520 _aThe study of phase transitions is one of the fundamental problems of physics. The goal of this seminar was to understand better the spectacular progress made recently in constructing continuum models. Concentrating on a few examples such as the microstructure of crystals, defects in liquid crystals and liquid-vapor interfaces, several key points are described, for example the structure and evolution of the interfaces, regularization via interfacial energy, and equilibrium theories. The mathematical treatment of these questions involves large-oscillation theories (Young's measures, compensated compactness), spectral theory, admissibility of shock waves, long-time behavior of dynamical systems, high-order perturbations, group actions, solitons, and others.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
700 1 _aRascle, M.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSerre, D.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSlemrod, M.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662137666
776 0 8 _iPrinted edition:
_z9783662137659
776 0 8 _iPrinted edition:
_z9783540516170
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v344
856 4 0 _uhttps://doi.org/10.1007/BFb0024930
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c10961
_d10961