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020 _a9783540470496
_9978-3-540-47049-6
024 7 _a10.1007/3-540-52595-5
_2doi
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072 7 _aSCI040000
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082 0 4 _a530.15
_223
245 1 0 _aProblems Involving Change of Type
_h[electronic resource] :
_bProceedings of a Conference Held at the University of Stuttgart, FRG, October 11–14,1988 /
_cedited by K. Kirchgässner.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1990.
300 _aXII, 210 p. 2 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 ;
_v359
505 0 _aDynamics and minimizing sequences -- Discontinuous solutions of bounded variations to problems of the calculus of variations and of quasi linear hyperbolic differential equations. Integrals of Serrin and Weierstrass. -- Minimizing sequences for nonconvex functionals, phase transitions and singular perturbations -- Dynamics of cluster growth -- A geometric approach to the dynamics of u t = ?2 u ?? + f(u) for small ? -- On the isothermal motion of a phase interface -- The relaxed invariance principle and weakly dissipative infinite dimensional dynamical systems -- Mathematical problems associated with the elasticity of liquids -- Analysis of spurt phenomena for a non-newtonian fluid -- Boundary conditions for steady flows of viscoelastic fluids -- The use of vectorfield dynamics in formulating admissibility conditions for shocks in conservation laws that change type -- On the Cauchy problem for the Davey-Stewartson system -- Inverse scattering and factorization theory -- Recent results on the Cauchy problem and initial traces for degenerate parabolic equations -- A nonlinear eigenvalue problem involving free boundaries -- Two nonlinear diffusion equations with finite speed of propagation.
520 _aSpontaneous change of type is a widely observed phenomenon in physics. In this volume, leading experts survey from a mathematical point of view topics such as phase transitions in crystals, cluster dynamics, viscoelastic flows, motion of interfaces in thermodynamics, shocks in transonic flows, and nonlinear diffusion with finite speed of propagation. Owing to new mathematical techniques, there is now a renewed interest in these difficult questions. The present volume supplies new results but may also serve as an excellent introduction to recent literature. It will be of interest to researchers and to graduate students in physics and mathematics.
650 0 _aMathematical physics.
650 0 _aAcoustics.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aNumerical and Computational Physics, Simulation.
_0http://scigraph.springernature.com/things/product-market-codes/P19021
650 2 4 _aAcoustics.
_0http://scigraph.springernature.com/things/product-market-codes/P21069
700 1 _aKirchgässner, K.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662137895
776 0 8 _iPrinted edition:
_z9783662137888
776 0 8 _iPrinted edition:
_z9783540525950
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v359
856 4 0 _uhttps://doi.org/10.1007/3-540-52595-5
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