MARC Record from harvard_bibliographic_metadata

LEADER: 08344cam a2200601 a 4500
001 014205992-7
005 20141009142455.0
008 050706s2006 enka b 001 0 eng
010 $a 2006295890
015 $aGBA604180$2bnb
016 7 $a013354527$2Uk
020 $a9780521834414 (hbk.)
020 $a0521834414 (hbk.)
035 0 $aocm62532870
040 $aUKM$beng$cUKM$dBAKER$dBWKUK$dOCLCQ$dDLC$dYDXCP$dIQU$dVRC$dBTCTA$dCOO$dHEBIS$dDEBBG$dOCLCQ$dOCL$dHDC$dUKMGB$dOCLCF$dDEBSZ
042 $apcc
050 00 $aQC809.F5$bM35 2006
082 04 $a551.01532051$222
084 $aRB 10103$2rvk
084 $aRB 10196$2rvk
100 1 $aMajda, Andrew,$d1949-
245 10 $aNon-linear dynamics and statistical theories for basic geophysical flows /$cAndrew J. Majda, Xiaoming Wang.
260 $aCambridge, UK ;$aNew York :$bCambridge University Press,$c2006.
300 $axii, 551 p. :$bill. ;$c26 cm.
504 $aIncludes bibliographical references and index.
505 00 $g1$tBarotropic geophysical flows and two-dimensional fluid flows: elementary introduction$g1 --$g1.2$tSome special exact solutions$g8 --$g1.3$tConserved quantities$g33 --$g1.4$tBarotropic geophysical flows in a channel domain -- an important physical model$g44 --$g1.5$tVariational derivatives and an optimization principle for elementary geophysical solutions$g50 --$g1.6$tMore equations for geophysical flows$g52 --$g2$tThe response to large-scale forcing$g59 --$g2.2$tNon-linear stability with Kolomogorov forcing$g62 --$g2.3$tStability of flows with generalized Kolmogorov forcing$g76 --$g3$tThe selective decay principle for basic geophysical flows$g80 --$g3.2$tSelective decay states and their invariance$g82 --$g3.3$tMathematical formulation of the selective decay principle$g84 --$g3.4$tEnergy-enstrophy decay$g86 --$g3.5$tBounds on the Dirichlet quotient, [Lambda](t)$g88 --$g3.6$tRigorous theory for selective decay$g90 --$g3.7
505 00 $tNumerical experiments demonstrating facets of selective decay$g95 --$gA.1$tStronger controls on [Lambda](t)$g103 --$gA.2$tThe proof of the mathematical form of the selective decay principle in the presence of the beta-plane effect$g107 --$g4$tNon-linear stability of steady geophysical flows$g115 --$g4.2$tStability of simple steady states$g116 --$g4.3$tStability for more general steady states$g124 --$g4.4$tNon-linear stability of zonal flows on the beta-plane$g129 --$g4.5$tVariational characterization of the steady states$g133 --$g5$tTopographic mean flow interaction, non-linear instability, and chaotic dynamics$g138 --$g5.2$tSystems with layered topography$g141 --$g5.3$tIntegrable behavior$g145 --$g5.4$tA limit regime with chaotic solutions$g154 --$g5.5$tNumerical experiments$g167 --$g6$tIntroduction to information theory and empirical statistical theory$g183 --$g6.2$tInformation theory and Shannon's entropy$g184 --$g6.3
505 00 $tMost probable states with prior distribution$g190 --$g6.4$tEntropy for continuous measures on the line$g194 --$g6.5$tMaximum entropy principle for continuous fields$g201 --$g6.6$tAn application of the maximum entropy principle to geophysical flows with topography$g204 --$g6.7$tApplication of the maximum entropy principle to geophysical flows with topography and mean flow$g211 --$g7$tEquilibrium statistical mechanics for systems of ordinary differential equations$g219 --$g7.2$tIntroduction to statistical mechanics for ODEs$g221 --$g7.3$tStatistical mechanics for the truncated Burgers-Hopf equations$g229 --$g7.4$tThe Lorenz 96 model$g239 --$g8$tStatistical mechanics for the truncated quasi-geostrophic equations$g256 --$g8.2$tThe finite-dimensional truncated quasi-geostrophic equations$g258 --$g8.3$tThe statistical predictions for the truncated systems$g262 --$g8.4$tNumerical evidence supporting the statistical prediction$g264 --$g8.5
505 00 $tThe pseudo-energy and equilibrium statistical mechanics for fluctuations about the mean$g267 --$g8.6$tThe continuum limit$g270 --$g8.7$tThe role of statistically relevant and irrelevant conserved quantities$g285 --$g9$tEmpirical statistical theories for most probable states$g289 --$g9.2$tEmpirical statistical theories with a few constraints$g291 --$g9.3$tThe mean field statistical theory for point vortices$g299 --$g9.4$tEmpirical statistical theories with infinitely many constraints$g309 --$g9.5$tNon-linear stability for the most probable mean fields$g313 --$g10$tAssessing the potential applicability of equilibrium statistical theories for geophysical flows: an overview$g317 --$g10.2$tBasic issues regarding equilibrium statistical theories for geophysical flows$g318 --$g10.3$tThe central role of equilibrium statistical theories with a judicious prior distribution and a few external constraints$g320 --$g10.4$tThe role of forcing and dissipation
505 00 $g322 --$g10.5$tIs there a complete statistical mechanics theory for ESTMC and ESTP?$g324 --$g11$tPredictions and comparison of equilibrium statistical theories$g328 --$g11.2$tPredictions of the statistical theory with a judicious prior and a few external constraints for beta-plane channel flow$g330 --$g11.3$tStatistical sharpness of statistical theories with few constraints$g346 --$g11.4$tThe limit of many-constraint theory (ESTMC) with small amplitude potential vorticity$g355 --$g12$tEquilibrium statistical theories and dynamical modeling of flows with forcing and dissipation$g361 --$g12.2$tMeta-stability of equilibrium statistical structures with dissipation and small-scale forcing$g362 --$g12.3$tCrude closure for two-dimensional flows$g385 --$g12.4$tRemarks on the mathematical justifications of crude closure$g405 --$g13$tPredicting the jets and spots on Jupiter by equilibrium statistical mechanics$g411 --$g13.2
505 00 $tThe quasi-geostrophic model for interpreting observations and predictions for the weather layer of Jupiter$g417 --$g13.3$tThe ESTP with physically motivated prior distribution$g419 --$g13.4$tEquilibrium statistical predictions for the jets and spots on Jupiter$g423 --$g14$tThe statistical relevance of additional conserved quantities for truncated geophysical flows$g427 --$g14.2$tA numerical laboratory for the role of higher-order invariants$g430 --$g14.3$tComparison with equilibrium statistical predictions with a judicious prior$g438 --$g14.4$tStatistically relevant conserved quantities for the truncated Burgers-Hopf equation$g440 --$gA.1$tSpectral truncations of quasi-geostrophic flow with additional conserved quantities$g442 --$g15$tA mathematical framework for quantifying predictability utilizing relative entropy$g452 --$g15.1$tEnsemble prediction and relative entropy as a measure of predictability$g452 --$g15.2
505 00 $tQuantifying predictability for a Gaussian prior distribution$g459 --$g15.3$tNon-Gaussian ensemble predictions in the Lorenz 96 model$g466 --$g15.4$tInformation content beyond the climatology in ensemble predictions for the truncated Burgers-Hopf model$g472 --$g15.5$tFurther developments in ensemble predictions and information theory$g478 --$g16$tBarotropic quasi-geostrophic equations on the sphere$g482 --$g16.2$tExact solutions, conserved quantities, and non-linear stability$g490 --$g16.3$tThe response to large-scale forcing$g510 --$g16.4$tSelective decay on the sphere$g516 --$g16.5$tEnergy enstrophy statistical theory on the unit sphere$g524 --$g16.6$tStatistical theories with a few constraints and statistical theories with many constraints on the unit sphere$g536.
650 0 $aGeophysics$xFluid models.
650 0 $aFluid mechanics.
650 0 $aFluid dynamics.
650 0 $aGeophysics$xMathematical models.
650 0 $aStatistical mechanics.
650 07 $aStrömungsmechanik.$2swd
650 07 $aGeophysik.$2swd
650 07 $aNichtlineares mathematisches Modell.$2swd
650 7 $aFluid dynamics.$2fast
650 7 $aFluid mechanics.$2fast
650 7 $aGeophysics$xFluid models.$2fast
650 7 $aGeophysics$xMathematical models.$2fast
650 7 $aStatistical mechanics.$2fast
650 7 $aGeophysics$xFluid models.$2local
650 7 $aFluid mechanics.$2local
650 7 $aFluid dynamics.$2local
650 7 $aGeophysics$xMathematical models.$2local
650 7 $aStatistical mechanics.$2local
700 1 $aWang, Xiaoming,$cPh.D.
988 $a20141009
906 $0OCLC