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>stream x͑MhAٝlwOL1=(J/@9"UA"jֶ֪/i]- gc[o=|;@-}`"BC>M!o|%pJΏnu/Q13QJeg[25=sV=~ei7οz=v6_i#Z}ot\81m\캆-Cr0aҡ䄈Q 0GL)@~N*ua7f5& t^9T%kaXzj~a[t :.p"&B6DW!svdđ̂(kk71yŗ?-{i,l{"&.]abʔ~qymNOcR0H%С'3FJM)H 1K2,?RӹsXVWٶǢv#,ã.RY()_Y0%g>9&sx8ca endstream endobj 314 0 obj <> endobj 315 0 obj <> endobj 316 0 obj <> endobj 317 0 obj <> endobj 318 0 obj <> endobj 319 0 obj (1 The Clay Millennium Problem) endobj 320 0 obj <> endobj 321 0 obj <> endobj 322 0 obj (2 The significance of rigorous existence and uniqueness results) endobj 323 0 obj <> endobj 324 0 obj <> endobj 325 0 obj (3 Brief overview of the contents of this paper) endobj 326 0 obj <> endobj 327 0 obj <> endobj 328 0 obj (4 Weak solutions \(finite kinetic energy\): existence for all t0) endobj 329 0 obj <> endobj 330 0 obj <> endobj 331 0 obj (\(a\) Evolution of the kinetic energy) endobj 332 0 obj <> endobj 333 0 obj <> endobj 334 0 obj (\(b\) Definition of weak solutions and their existence) endobj 335 0 obj <> endobj 336 0 obj <> endobj 337 0 obj (\(c\) The problem of uniqueness for weak solutions) endobj 338 0 obj <> endobj 339 0 obj <> endobj 340 0 obj (\(d\) Evolution of the kinetic energy for weak solutions) endobj 341 0 obj <> endobj 342 0 obj <> endobj 343 0 obj (\(e\) Non-uniqueness of `very weak' solutions) endobj 344 0 obj <> endobj 345 0 obj <> endobj 346 0 obj (5 Strong solutions \(finite enstrophy\)) endobj 347 0 obj <> endobj 348 0 obj <> endobj 349 0 obj (\(a\) Evolution of the enstrophy) endobj 350 0 obj <> endobj 351 0 obj <> endobj 352 0 obj (\(b\) Strong solutions: local existence and uniqueness) endobj 353 0 obj <> endobj 354 0 obj <> endobj 355 0 obj (6 Conditional regularity) endobj 356 0 obj <> endobj 357 0 obj <> endobj 358 0 obj (7 Partial regularity) endobj 359 0 obj <> endobj 360 0 obj <> endobj 361 0 obj (\(a\) The set of singular times) endobj 362 0 obj <> endobj 363 0 obj <> endobj 364 0 obj (\(b\) The set of space-time singularities) endobj 365 0 obj <> endobj 366 0 obj <> endobj 367 0 obj (8 Conclusion) endobj 368 0 obj <> endobj 369 0 obj <> endobj 370 0 obj (References) endobj 371 0 obj <> endobj 372 0 obj <>>> endobj 373 0 obj <>>> endobj 374 0 obj <>stream xڭisD{~|C.<>j ]BBV-Pi{5D{ZIKbzjW+/_U2+#pv/>`:v X^n=^{mkztW/f%(1huYM:Q<;