TAILIEUCHUNG - Partial Differential Equations and Fluid Mechanics

This work gives a survey of the results obtained in a series of papers by Boukrouche & Lukaszewicz (2004, 2005a,b, 2007) and Boukrouche, Lukaszewicz, & Real (2006) in which we consider the problem of the existence and finite dimensionality of attractors for some classes of twodimensional turbulent boundary-driven flows (Problems I–IV below). The flows admit mixed, non-standard boundary conditions and also time-dependent driving forces (Problems III and IV). We are interested in the dependence of the dimension of the attractors on the geometry of the flow domain and on the boundary conditions. This research is motivated by problems from lubrication theory. Our results generalize some earlier ones devoted to the. | London Mathematical Society Lecture Note Series Partial Differential Equations and Fluid Mechanics Edited by James c. Robinson and José L. Rodrigo Cambridge The London Mathematical Society Cambridge more information - 9780521125123 This page intentionally left blank LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES Managing Editor Professor M. Reid Mathematics Institute University of Warwick Coventry CV4 7AL United Kingdom The titles below are available from booksellers or from Cambridge University Press at mathematics 216 217 218 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 267 268 269 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 Stochastic partial differential equations A. ETHERIDGE ed Quadratic forms with applications to algebraic geometry and topology A. PFISTER Surveys in combinatorics 1995 P. ROWLINSON ed Algebraic set theory A. JOYAL I. MOERDIJK Harmonic approximation . GARDINER Advances in linear logic . GIRARD Y. LAFONT L. REGNIER eds Analytic semigroups and semilinear initial boundary value problems K. TAIRA Computability enumerability unsolvability . COOPER . SLAMAN . WAINER eds A mathematical introduction to string theory S. ALBEVERIO et al Novikov conjectures index theorems and rigidity I . FERRY A. RANICKI J. ROSENBERG eds Novikov conjectures index theorems and rigidity II . FERRY A. RANICKI J. ROSENBERG eds Ergodic theory of Zd actions M. POLLICOTT K. SCHMIDT eds Ergodicity for infinite dimensional systems G. DA PRATO J. ZABCZYK Prolegomena to a middlebrow arithmetic of curves of genus 2 . CASSELS . FLYNN Semigroup theory and its applications . HOFMANN . MISLOVE eds The descriptive set theory of Polish group actions H. BECKER . KECHRIS Finite fields and applications S. COHEN H. NIEDERREITER eds .

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