Trends in Applications of Pure Mathematics to Mechanics
Proceedings of the Sixth Symposium on Trends in Applications of Pure Mathematics to Mechanics, held at the Physikzentrum of the German Physical Society, Bad Honnef, October 21-25, 1985
Published on 1. May 1986
Book
Paperback/Softback
VIII, 527 pages
978-3-540-16467-8 (ISBN)
Description
Eigenmodes of classical fluids in thermal equilibrium.- Study of the inverse problem in random media using coherence theory.- Half-space problems in the kinetic theory of gases.- Virial coefficients from extended thermodynamics.- On the transient behaviour of structured solids.- On spectral analysis of non-selfadjoint operators in mechanics.- On the photoelastic effect in a hemitropic dissipative dielectric.- Space-time complexity in solid-state and statistical physics models.- The topology of semidefects and solitons.- Solitons and statistical thermodynamics.- Transient motion of a solitary wave in elastic ferroelectrics.- Driven kinks in shape-memory alloys.- The long-time behaviour for perturbed wave-equations and related problems.- Solitons and domain structure in elastic crystals with a microstructure.- Phase diagram of one-dimensional electron-phonon and relativistic field theory models: Renormalization-group studies.- The crooked road to effective stress.- Gauge theories in mechanics.- On the role of noether's theorem in the gauge theory of crystal defects.- On gauge theory in defect mechanics.- Recent progresses in the couette-taylor problem.- On propagation of the transition layers in solutions to nonlinear partial differential equations.- Constitutive models of polymer fluids: Towards a unified approach.- Application of homogenization to the study of a suspension of force-free particles.- On the Ericksen's conjecture.- Linear thermodynamics and non-linear phenomena in fluids.- Some remarks on the limit of viscoelastic fluids as the relaxation time tends to zero.- Hydrodynamics of rigid magnetic suspensions.- Non-Newtonian fluids of second grade - rheology, thermodynamics and extended thermodynamics.- Molecular mechanisms of non-linear rubber elasticity.- Somemathematical problems arising in modern developments in non-Newtonian fluid mechanics.- Shear flows of non-linear visco-elastic fluids.- Hyperbolic phenomena in the flow of viscoelastic liquids.- Rheology of shape memory alloys.- A unilateral model to the evaluation of the collapse load of masonry solids..- On the korn type inequality and problem of justification of refined theories for elastic plates.- Stress functions and stress-function spaces for 3-dimensional elastostatics and dynamics.- Dislocation dynamics in anisotropic thermoelastic-piezoelectric crystals.- Some results of a boundary-layer theory for curved phase interfaces.- Spectrum and periodicity for 0,1-functions.- Criticality in nonlinear elliptic eigenvalue problems.
More details
Series
Edition
1986 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
53 s/w Abbildungen
VIII, 527 p. 53 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 29 mm
Weight
921 gr
ISBN-13
978-3-540-16467-8 (9783540164678)
DOI
10.1007/BFb0016378
Schweitzer Classification
Content
Eigenmodes of classical fluids in thermal equilibrium.- Study of the inverse problem in random media using coherence theory.- Half-space problems in the kinetic theory of gases.- Virial coefficients from extended thermodynamics.- On the transient behaviour of structured solids.- On spectral analysis of non-selfadjoint operators in mechanics.- On the photoelastic effect in a hemitropic dissipative dielectric.- Space-time complexity in solid-state and statistical physics models.- The topology of semidefects and solitons.- Solitons and statistical thermodynamics.- Transient motion of a solitary wave in elastic ferroelectrics.- Driven kinks in shape-memory alloys.- The long-time behaviour for perturbed wave-equations and related problems.- Solitons and domain structure in elastic crystals with a microstructure.- Phase diagram of one-dimensional electron-phonon and relativistic field theory models: Renormalization-group studies.- The crooked road to effective stress.- Gauge theories in mechanics.- On the role of noether's theorem in the gauge theory of crystal defects.- On gauge theory in defect mechanics.- Recent progresses in the couette-taylor problem.- On propagation of the transition layers in solutions to nonlinear partial differential equations.- Constitutive models of polymer fluids: Towards a unified approach.- Application of homogenization to the study of a suspension of force-free particles.- On the Ericksen's conjecture.- Linear thermodynamics and non-linear phenomena in fluids.- Some remarks on the limit of viscoelastic fluids as the relaxation time tends to zero.- Hydrodynamics of rigid magnetic suspensions.- Non-Newtonian fluids of second grade - rheology, thermodynamics and extended thermodynamics.- Molecular mechanisms of non-linear rubber elasticity.- Somemathematical problems arising in modern developments in non-Newtonian fluid mechanics.- Shear flows of non-linear visco-elastic fluids.- Hyperbolic phenomena in the flow of viscoelastic liquids.- Rheology of shape memory alloys.- A unilateral model to the evaluation of the collapse load of masonry solids..- On the korn type inequality and problem of justification of refined theories for elastic plates.- Stress functions and stress-function spaces for 3-dimensional elastostatics and dynamics.- Dislocation dynamics in anisotropic thermoelastic-piezoelectric crystals.- Some results of a boundary-layer theory for curved phase interfaces.- Spectrum and periodicity for 0,1-functions.- Criticality in nonlinear elliptic eigenvalue problems.