Trends in applications of mathematics to mechanics / Gérard Iooss, Olivier Guès, Anne Nouri, [editors].
Material type: TextLanguage: English Summary language: French Series: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 106.Publication details: Boca Raton: Chapman & Hall/CRC, 2000Description: 326 p. : ill. ; 26 cmISBN:- 158488035X (alk. paper)
- 531 21
- QA 801 .T72 2000
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QA 616.7 .L57 1965 Theory and problems general topology / | QA 641 .T215 2001 Differential geometry with applications to mechanics and physics / | QA 641 .T215 2001 Differential geometry with applications to mechanics and physics / | QA 801 .T72 2000 Trends in applications of mathematics to mechanics / | QA 805 .A67913 2006 Mathematical aspects of classical and celestial mechanics / | QA 805 .D5613 1994 Analytical mechanics / | QA 805 .D5613 1994 Analytical mechanics / |
"This volume represents the proceedings of the international conference 'STAMM 98', the eleventh Symposium on 'Trends in Applications of Mathematics to Mechanics'"--Pref.
Includes references.
Ch. I. Elasticity-Plasticity. Asymptotic behavior of the eigenvalues of a plate problem / A. Campbell and S. Nazarov. On the torsion of soft cylindrical shells / A. DiCarlo and P. Nardinocchi. On uniqueness of the null-traction boundary value problem in nonlinear elastostatics / R. J. Knops and H. J. Williams. Free boundary problems arising from spectral and path-following analysis in the mechanics of elastic-plastic solids / A. Leger and A. El Koulani -- Ch. II. Granular, Porous and Homogenized Media. On a stationary axisymmetric filtration problem under large deformations of the skeleton / B. Albers and K. Wilmanski. Macroscopic modelling of Cosserat media / G. de Felice and N. L. Rizzi. On the structure and shape of sandpiles / H. J. Herrmann -- Ch. III. Constitutive Equations and Fundamental Mechanics. G-defining equations: applications to nonlinear differential equations / O. V. Kaptsov.
Liu technique for exploiting the dissipation inequality in case of constrained state space variables / W. Muschik, H. Herrmann and G. Ruckner / [et al.]. On internal constraints and the derivation of a linear plate theory / P. Podio-Guidugli. Hamiltonian versus lagrangian forms / C. Trimarco -- Ch. IV. Thermodynamics and Kinetic Theory. Convergence towards the thermodynamical equilibrium / L. Desvillettes. Hyperbolic heat conduction / W. Dreyer and M. Kunik. Non-equilibrium thermodynamics and the dynamics of particles / J. Verhas. Toward an extended thermodynamics of porous and granular materials / K. Wilmanski -- Ch. V. Phase Transition. Global existence and continuous dependence of phase transitions in hyperbolic conservation laws / R. M. Colombo and A. Corli. Approximation of quasistatic processes with friction by incremental problems in the theory of phase transitions / F. Theil -- Ch. VI. Water Waves.
Models for long-wave instability due to a resonance between two waves / R. Grimshaw. Hamiltonian spatial dynamics methods for two-and three-dimensional steady surface waves on water of finite depth / M. D. Groves. On the symmetry theory for stokes waves of finite and infinite depth / J. F. Toland -- Ch. VII. Nonlinear Stability. On oscillatory modes in viscous incompressible liquid flows between two counter-rotating permeable cylinders / V. Kolesov and L. Shapakidze. Pattern formation on large domains and diffusive mixing / A. Mielke. Aspects of modulational dynamics-diffusive versus pulse behavior / G. Schneider -- Ch. VIII. Flows in Thin Domains. Asymptotic behaviour of a fluid in a time varying thin domain given in cylindrical coordinates / G. Bayada, M. Chambat and I. Ciuperca. Modelization of shallow lakes and seas / D. Bresch, J. Lemoine and J. Simon. Correctors for Reynolds equation describing the process of lubrication of a rotating shaft / A. Duvnjak and E. Marusic-paloka --
Ch. IX. Miscellaneous Fluid Flows. Comparaison du regime hydrostatique des fluides incompressibles non-visqueux et du regime quasineutre des plasmas / Y. Brenier. On a fluid-structure interaction problem / F. Flori and P. Orenga. Symmetric form of governing equations for capillary fluids / S. Gavrilyuk and H. Gouin. On the Euler flows with singular initial data / C. Marchioro. On the stability of a steady state of a viscous compressible fluid / M. Padula.
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