Mathematical Problems In ElasticityIn this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics. |
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Índice
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DECAY ESTIMATES FOR BOUNDARYVALUE PROBLEMS IN LINEAR AND NONLINEAR CONTINUUM MECHANICS | 47 |
ON THE TRACTION PROBLEM IN INCOMPRESSIBLE LINEAR ELASTICITY FOR UNBOUNDED DOMAINS | 91 |
AN ABSTRACT PERTURBATION PROBLEM WITH SYMMETRIES SUGGESTED BY LIVE BOUNDARY PROBLEMS IN ELASTICITY | 129 |
MAXIMUM PRINCIPLES IN CLASSICAL ELASTICITY | 157 |
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acoustic axes affine representation Anal analogous analytic anti-plane shear Appl Applied assume basic static deformation biharmonic biharmonic equation Bº'a boundary conditions boundary value problem BT'a BT'b C(Vu constant corresponding cylinder decay estimates defined denote Dirichlet elasticity elliptic energy energy-flux velocity exponential decay follows harmonic functions Hence homogeneous Horgan and Payne incompressible linear inequality inhomogeneity isotropic Laplace's equation Lemma linear subspace mapping Math Mathematics maximum principle Mech Mooney-Rivlin material Navier-Stokes equations nonlinear obtained Oleinik orthogonal partial differential equations Phragmén-Lindelöf polarisation directions polarized principal axis principal stress proof quasilinear ray direction ray slowness ray surface Roseman Saint-Venant Saint-Venant principle Saint-Venant's principle satisfies second-order semi-infinite strip slowness surface ſº solution to system spatial decay Stokes flow subspace symmetries tensor Theorem theory torsion traction problem uniqueness unit vectors Valent wave propagating wave speeds yields