Trends in Applications of Pure Mathematics to Mechanics

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.