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Drazin P. — Introduction to Hydrodynamic Stability
Drazin P. — Introduction to Hydrodynamic Stability

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Название: Introduction to Hydrodynamic Stability

Автор: Drazin P.

Аннотация:

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment. They are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography, physics, and engineering. This is a graduate-level textbook to introduce these phenomena by modeling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized with many figures. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students, but is very useful for specialists in other fields.


Язык: en

Рубрика: Физика/Классическая физика/Механика жидкости и газа/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 258

Добавлена в каталог: 19.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$e^N$ method      177
1868 Helmholtz      45 151
1871 Kelvin      46 53 54 57 151
1876 Maxwell      59
1879 Oberbeck      95
1879 Rayleigh      62
1880 Kelvin      147
1880 Rayleigh      136 143 144 149 181—183
1880 Stokes      74
1882 Campbell & Garnett      1
1883 Rayleigh      51 60 193
1883 Reynolds      2—4 29 35 54 74 181
1887 Kelvin      186
1890 Helmholtz      54
1892 Rayleigh      168 198
1894 Rayleigh      187
1895 Reynolds      83 84
1900 Benard      93 94
1902 Jeans      44
1903 Boussinesq      95
1907a Orr      184 186
1907b Orr      83 157
1908 Harrison      60
1908 Sommerfeld      157
1909 Bohr      74
1911 Karman      221 233
1915 Jeffery      39
1915 Taylor      144 161
1916 Hamel      39
1916a Rayleigh      93 98
1916b Rayleigh      124
1921 Noether      74
1921 Prandtl      161
1923 Taylor      125 127 129 130
1924 Heisenberg      74 164 176
1927a Sexl      179
1927b Sexl      179
1929 Tollmien      158 159 164 168 173
1931 Goldstein      194
1931 Haurwitz      194
1931 Taylor      194
1932 Lamb      43 44 190 233 234
1933 Schlichting      168 173
1933 Squire      141
1933 Synge      125 135
1934 Dean      40 41 229
1935 Prandtl      161
1935 Tollmien      146 173
1936 Pekeris      199
1938 Synge      162
1938 Taylor      159
1940 Christopherson      112
1940 Gortler      131 133
1940 Pellew & Southwell      108
1944 Landau      20 74 176 208
1945 Horton & Rogers      117
1946 Landau      71
1947 Schubauer & Skramstad      158 173 219
1948 Lapwood      117
1949 Onsager      156
1950 Fj0rtoft      145
1950 Lewis      51
1950 Taylor      51 193
1951 Meksyn& Stuart      176
1953 Thomas      168
1954 Bellman & Pennington      60
1954 Colson      55
1954 Malkus      208
1955 Gregory et al      192
1955 Herivel      155
1955 Lin      9 145 146
1956 Smith & Gamberoni      177
1956 van Ingen      177
1957 Gor'kov      75
1958 Malkus & Veronis      75
1958 Pearson      121
1958 Saffman& Taylor      61
1958 Silveston      101 103
1959 Cesari      37
1959 Raetz      177
1959 Serrin      84 226
1959 Taneda      219
1960 Case      150
1960 Donnelly & Simon      131
1960 Reid      137
1960 Schensted      157
1960 Stem      120
1960 Stuart      75 176
1960 Tatsumi & Gotoh      203
1960a Watson      198
1960b Watson      75 176
1961 Chandrasekhar      9 60
1961 Drazin      202
1961 Howard      146 194
1961 Miles      194
1961 Sorokin      91
1962 Batchelor & Gill      179 182
1962 Davey      128
1962 Fraenkel      18 39 226
1962 Gaster      200
1962 Klebanoff et al.      173 177 219
1963 Fraenkel      226
1963 Lorenz      115
1963a FL Coles      127
1963b FL Coles      127
1964 Abramowitz & Stegun      39
1964 Briggs      71
1964 FL Brown      174
1964 FL Lippisch      174
1964 Harris & Reid      128 129
1964 Howard      189
1965 Coles      211
1965 F Trefethen      65
1965 FL Trefethen      65
1965 Hughes & Reid      197
1965 Joseph      114
1965 Schmid-Burgk      190
1966 Donnelly & Glaberson      65
1966 Eagles      228
1967 Batchelor      16 39 46 158 182 198 220 221 225
1967 Betchov & Criminale      9
1967 F Bryson      57
1967 FL Bryson      57
1967 Kelly      177
1967 Stuart      190
1967 Willis & Deardorff      103
1968 F Long      57
1968 F Mollo-Christensen      59
1968 F Stewart      6
1968 FL Mollo-Christensen & Wille      57
1968 FL Stewart      6
1968 Joseph      163
1968 Thorpe      56
1969 Baines & Gill      122
1969 Goldstein & Graham      98
1969 Joseph      163
1969 Leibovich      195
1969 Morkovin      211
1969 Rossby      101 103
1969 Stone      219
1969 Thorpe      54
1969 Wilson      201
1970 Burridge      182
1970 Matkowsky      76
1971 Busse & Whitehead      109
1971 Craik      177
1971 Ruelle & Takens      213
1972 Palm etal      119
1973 Bouthier      159
1973 Hinch      120
1973 Krishnamurti      103
1973 Romanov      168
1974 Drazin      219
1974 Gaster      159
1975 Drazin      113
1975 Ellingsen & Palm      186
1975 Gull      51
1975 Hocking      197
1975 Kachanov et al.      219
1975 Krishnamurti      110
1975 Nishioka et al.      176
1975 Threlfall      103
1976 Benjamin      208
1976 Gent & Leach      219
1976 Joseph      9 84
1976 Mack      171
1976 Nakamura      225
1977 Swift & Hohenberg      116
1978 Libchaber & Maurer      103 213
1978 Newhouse etal      213
1978 Taneda      225
1978 Warn & Warn      33
1979 Brown & Stewartson      33
1979 Busse & Clever      109
1979 Fenstermacher et al      130 211
1979 Leibovich      195
1979 Oertel & Kirchartz      109
1979 Srulijes      104
1979a Smith      166
1979b Smith      166
1980 Feigenbaum      103 213
1980 Nishioka et al.      175
1980 Pomeau & Manneville      213
1980 Salwen et al.      35 181
1981 Drazin & Reid      9 42 44 57—59 61 66 67 91 100 101 114 121 122 128—131 133 137 166 168 172 177 194
1982 Benjamin & Mullin      130 209
1982 Carlson et al      6
1982 Lundgren      52
1982 Straughan      84
1982 Van Dyke      4 9 100 109 127 128 174 216 217 220 225
1983 Hall      134
1983 Orszag & Patera      176
1984 Beale et al.      154
1984 Neu      53
1984 Saric& Thomas      177
1985 Craik      81
1985 Klaasen & Peltier      55
1985 Thorpe      55
1986 Andereck etal      132
1986 Craik & Criminale      42 186
1986 Krasny      54
1986 Lindzen & Rambaldi      161
1986 Sobey & Drazin      19 226 231
1987 Herron      157
1987 Jackson      221—224
1987 Landau & Lifshitz      9
1987 Provansal et al.      221 224
1988 Banks et al.      40 228 229 231
1988 Bayly et al.      176 177
1988 Boberg & Brosa      207
1988 Herbert      175
1988 Nakayama      9 133 174 220 227 228 230
1989 Drazin      42
1989 Young      173
1989 Yudovich      38 184 186
1990 Huene & Monkewitz      71 219
1990 Kim & Pearlstein      225
1991 King & Stewart      211
1992 Bertolotti etal      159
1992 Butler & Farrell      177
1992 Drazin      116
1992 Saffman      151 154
1993 Koschmieder      105 109 125 130
1993 Natarajan & Acrivos      225
1993 Reddy & Henningson      177
1993 Trefethen et al.      39 206
1994 Baines & Mitsudera      145
1994 Hamadiche et al      232
1994 Kachanov      177
1994 Saric      134
1995 Waleffe      39 196
1996 Baines etal      161
1996 Tutty      232
1996 Williamson      223
1997 Alleborn et al.      227
1997 Dennis etal      231
1998 Eliahou et al      5
1998 Huerre& Rossi      8
1998 Lin & Reitz      66
1998 McAlpine & Drazin      229 231 232 235
2000 CD Homsy      6 9 127 174 216 220 225
2000 Meseguer & Trefethen      181 182
2000 Sobey      226
2001 Barcilon & Drazin      191
2001 Schmid & Henningson      9 172 177
2002 Kerswell et al.      232
A-mode      170
Absolute instability      69
Adiabatic lapse rate      60
Adjoint equation, Orr — Sommerfeld      203
Adjoint equation, Rayleigh      183
Adjoint operator      88 89 203
Adjoint operator for Orr — Sommerfeld problem      203
Adjoint Orr — Sommerfeld equation      203
Adjoint Rayleigh stability equation      183
Airy function      137 165 201
Airy mode      170
Alternative, Fredholm      80 89
Analogy between rotating and stratified flows      123 135 195
Antisymmetric mode      153 189
Approximation, Boussinesq      95 193 194
Approximation, narrow-gap      126 128—130 134 136
Approximation, WKBJ      159 164 219
Asymptotic stability      29
Asymptotic-suction boundary layer, instability of      197
Atmosphere, static stability of      60
Attractor      30
Avoided crossing      42
Axisymmetric parallel flow      178
Basic flow      28
Bickley jet, instability of      188
Bickley jet, marginal Curve for      170
Bifurcation      7 10 11
Bifurcation diagram      12
Bifurcation from infinity      36
Bifurcation point      12
Bifurcation, fold      12
Bifurcation, Hopf      26 27 209 221 232
Bifurcation, pitchfork      13 19 20 102 116 119 209
Bifurcation, saddle-node      12
Bifurcation, transcritical      12 20 35 209
Bifurcation, turning point      12 20 35 209
Billow clouds      54
Biorthogonality      90
Blasius's boundary layer, instability of      158 166 169 170
Blasius's boundary layer, marginal curve for      170
boundary conditions      28 95
Boundary conditions, free-free      98 99 112
Boundary conditions, free-rigid      99
Boundary conditions, rigid-rigid      99
Boundary layer, asymptotic-suction      197
Boundary layer, instability of      169 219
Boundary layer, on a plate, instability of      158 166 170
Boussinesq approximation      95 193 194
Boussinesq equations      95 114
Boussinesq fluid      95 117
Breaking, symmetry      13 21 51 210 211 221 226 232
Broken-line jet, instability of      187
Brunt — Vaisala frequency      194
Buoyancy      42
1 2 3 4
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