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 International Book Series of Mathematical Texts 2005; 352 pp; hardcover ISBN-10: 973-85432-5-8 ISBN-13: 978-973-85432-5-6 List Price: US$48 Member Price: US$38.40 Order Code: THETA/6 The volume contains the proceedings of the international conference New Trends in Continuum Mechanics, held at Constanta, Romania between September 8-12, 2003. The conference was devoted to all domains of continuum mechanics; it also included a minisymposium on homogenization and its applications and a section devoted to numerical methods. The volume contains thirty-seven refereed papers; among the subjects covered, are: theoretical and laboratory modelling, mathematical modelling in biology, oil recovery, contact problems with friction, studies on different materials, non-Newtonian fluids, electrorheological and magnetorheological fluids, thermo-mechanical and electro-mechanical problems in solids. A publication of the Theta Foundation. Distributed worldwide, except in Romania, by the AMS. Readership Graduate students and research mathematicians interested in continuum mechanics Table of Contents L. Badea -- One and two-level multiplicative Schwarz methods for the constrained minimization of non-quadratic convex functionals N. Bontcheva and B. Petzov -- Phase transformation during metal forming processes A. Capatina and F. Lebon -- Remarks on the equiliibrium finite element method for frictional contact problems A. Carabineanu -- The study of the self-propulsion of an oscillatory wing by the integral equations method Q. Chang and W. Sun -- On convergence of the multigrid method for nonnegative definite systems Y. D. Chashechkin -- Mathematical and laboratory modelling of stratified flows D. Cioranescu, A. Damlaminan, and G. Griso -- The Stokes problem in perforated domains by the periodic unfolding method S. Cleja-Tigoiu -- Material symmetry in finite elasto-plasticity with continuum distributed dislocations M. Cocou and G. Scarella -- A dynamic unilateral contact problem for a cracked viscoelastic body C. Conca, J. I. Diaz, A. Linan, and C. Timofte -- Homogenization results for chemical reactive flows through porous media E. M. Craciun -- Stress in prestressed fiber reinforced composite containing two colinear cracks supposed to be under anti-plane shear loadings N. D. Cristescu -- Theory of falling cylinder viscometers A. Dumitrache -- An interactive computing method for stall flutter analysis C. Faciu and M. Mihăilescu-Suliciu -- Shape memory effect: A Maxwellian rate type constitutive approach C. Grandmont, Y. Maday, and B. Maury -- A multiscale/multimodel approach of the respiration tree D. Jiroveanu and J. Soler -- Numerical modeling of a bubble breakup behavior in homogeneous and isotropic turbulence V. Marina -- Reading the possibilities to decode the microstructure characteristics from macroexperience G. Marinoschi -- On a nonlinear boundary value problem of infiltration in unsaturated media B. Matei -- Nonlinear multiscales representations for homogenization problems: A case study M. Negreanu -- Discrete inequalities G. Pasa -- Secondary oil recovery and variable permeability E. Perez -- Correcting terms from local problems for vibrating systems with concentrated masses K. Piechor -- On the hydrodynamic limit of the Enskog equation with weak square-well potential D. Polisevski and R. Schiltz-Bunoiu -- Heat conduction through a first-order jump interface M. Popescu -- On the optimal control of bilinear systems R. Raducanu -- On the mortar finite element method in linear elasticity S. Sburlan and C. Sburlan -- A coincidence degree for bifurcation problems with applications in mechanics of continua N. Simion -- Models of heat propagation in solid bodies O. Simionescu-Panait -- Propagation of attenuated waves in isotropic solids subject to initial electro-mechanical fields D. Socolescu -- On the Leray problems for the stationary and non-stationary Navier-Stokes equations R. Stavre -- Boundary control of a non-stationary magnetohydrodynamic flow P. P. Teodorescu, T. Badea, L. Munteanu, and J. Onisoru -- On the wave propatagion in materials with negative stiffness components P. P. Teodorescu, L. Munteanu, and V. Chiroiu -- On the wave propagation in a chiral medium V. Tigoiu and C. Cipu -- Flow of some viscoelastic fluids in a falling cylinder viscometer and the evaluation of shear viscosity A. Ursescu -- Influence of the electrode ends on the channel flow of electrorheological fluids A. Ursescu and C. Dascalu -- Thermally conductive elliptic hole in an anisotropic solid C. Vallee, C. Lerintiu, D. Fortune, M. Ban, and G. de Saxce -- Hill's bipotential