Trends in Applications of Pure Mathematics to Mechanics [electronic resource] : 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 / edited by Ekkehart Kröner, Klaus Kirchgässner.

Contributor(s): Kröner, Ekkehart [editor.] | Kirchgässner, Klaus [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Physics ; 249Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1986Description: VIII, 527 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540398035Subject(s): Physics | Mathematical physics | Physics | Mathematical Methods in Physics | Numerical and Computational MethodsAdditional physical formats: Printed edition:: No titleDDC classification: 530.15 LOC classification: QC5.53Online resources: Click here to access online
Contents:
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 -- Some mathematical 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.
In: Springer eBooks
Item type: E-BOOKS
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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 -- Some mathematical 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.

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