By Daqian Li; Chaohao Gu (ed.)
Nowadays, an expanding volume of knowledge should be received in graphical kinds, akin to climate maps, soil samples, destinations of nests in a breeding colony, microscopical slices, satellite tv for pc photos, radar or scientific scans and X-ray strategies. "High point" snapshot research is worried with the worldwide interpretation of pictures, trying to lessen it to a compact description of the salient gains of the scene.This publication takes a stochastic procedure. It reviews Markov item tactics, exhibiting that they shape a versatile category of versions for a variety of difficulties concerning the translation of spatial information. functions are available in statistical physics (under the identify of "Gibbs processes"), environmental mapping of illnesses, forestry, id of ore constitution in fabrics technological know-how, sign research, item acceptance, robotic imaginative and prescient, and interpretation of pictures from scientific scans or confocal microscopy
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Extra info for Collection of papers on geometry, analysis and mathematical physics : in honor of Professor Gu Chaohao
12 T. Ruggeri and A. Strumia Ann. Inst. Poincare, X X X I V , p. 65-84, 1981. 13 M. Anile "Relativistic fluids and magneto fluids" Ca. Un. Press, 1989. 2 22 14 A. P 1992. Y. Choquet-Bruhat and D. S. serie 4, 14 p. 481-500 1981 16 Y. Choquet-Bruhat and Gu Chao Hao C. R. Acad. Sci. 167-170, 1990. 7 Y. R. Acad. Sci. 237-242, 1994. 15 23 ASYMPTOTIC ANALYSIS OF ELASTIC SHELLS Philippe G. CIARLET Academie des Sciences and Universite Pierre et Marie Curie Paris This article is dedicated to Professor Gu Chaohao on the occasion of his seventieth birthday.
H. Le Dret and A. Raoult, Le modele de membrane non lineaire comme limite vanationnelle de I'elasticite non lineaire tridimensionnelle, C. R. Acad. Sci. Pans, Ser. II, 317 (1993), 221-226. 14. H. Le Dret and A. Raoult, Derivation variationnelle du modele non lineaire de coque membranaire, C. R. Acad. Sci. Paris, Ser. I, 320 (1995), 511-516. 15. -L. Lions, Perturbations Singulieres dans les Problemes aux Limites et en Controle Optimal, Springer-Verlag, Heidelberg, 1973. 16. -L. Lions and E. Sanchez-Palencia, Problemes aux limites sensitifs, C.
As a consequence, the dis tinction between flexural and membrane shells is no longer related to the geometry of the middle surface and the boundary conditions as here. 4. For nonlinearly elastic shells, two-dimensional "membrane" or "bend ing" equations can be likewise identified through a formal asymptotic expansion of the scaled three-dimensional solution 17,18 . As for nonlinearly elastic plates 13 , F-convergence techniques can be also successfully applied that yield a convergence theorem to the solution of a "large deformation" membrane shell model14.