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Lagerstrom P.A. — Matched Asymptotic Expansions
Lagerstrom P.A. — Matched Asymptotic Expansions



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Название: Matched Asymptotic Expansions

Автор: Lagerstrom P.A.

Аннотация:

Earlier drafts of the manuscript of this book contained discussions of many methods and examples of singular perturbation problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1988

Количество страниц: 251

Добавлена в каталог: 13.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Approximations, higher-order      44 98
Approximations, uniformly valid      22 23
Arresting power      230
Boa, private communication      71
Bond number      134
Cole — Hopf transformation      210
Coordinate system, role of      237
Coordinate, parabolic      192
Coordinate, transformation      18
Dimensional analysis of damped linear mass-spring system      14
Dimensional analysis of damped linear mass-spring system, viscous flow      217
Domain of overlap      21 23 35
Domain of validity      21
Domain, maximal      29
Equation, containing (richer than)      41
Equation, Falkner — Skan      21
Equation, neighboring      2
Equation, Oseen      110 113 224 228
Equation, Stokes      110 113 222
Error, estimate      2
expansion      37
Expansion of Poincare type      8 60 125
Expansion, asymptotic      7 8
Expansion, composite      44
Expansion, matched asymptotic      23 34
Expansion, numbering and grouping of terms      77
Expansion, parameter and coordinate, type      232
Expansion, parameters      8 36
Flat plate, semi-infinite      191 232
Function, commensurable      6
Function, difference      35
Function, gauge      4 7
Function, logarithmic-exponential      6
Function, principal gauge      47
Kaplun's correlation theorem      238
Kaplun's extension theorem      25 27
Kaplun's principle of matching      36 43
Kaplun's scaling      92
Kaplun's solution for low Reynolds numbers      225
Kaplun's theorem of optimal coordinates      230
Kaplun's, Ansatz about domain of validity      25 30 43 114
Layer with algebraic decay      98
Layer, boundary      17
Layer, correction      36 45
Layer, derivative      92
Layer, initial      17
Layer, interior      17
Layer, width      17
Limit process      8 26
Limit process, $\eta$-limit      24
Limit process, inner      19
Limit process, outer      18
Limit process, repeated application of      8
Limits of equations      36
Limits, principal      36
Matching      21 37 42 79
Matching, formal and intermediate      47
Matching, intermediate      24 35 46
Order, Bachmann — Landau notation      4
Order, Hardy notation      5
Order, relations      4 5
Ordering of functions      11
Ordering of real numbers      11
Paradox, Filon      234
Paradox, iterated Prandtl solution      233
Paradox, Stokes      110 224
Paradox, Whitehead      110 117 224
Parameters, artificial      194
Parameters, compared to variables      3
Parameters, scaling      33 85
Perturbation, different aspects of      235
Perturbation, methods      2
Perturbation, regular      12
Perturbation, singular      12
Problem, layer-type      12 13 17
Problem, modulation (or secular)      12 13 15 17
Problem, regular      13
Problem, singular      13
Relevant solution      176
Subcharacteristics      175 176 160
Subcharacteristics, closed      185
Subcharacteristics, time-like      205
Switchback      98 118
Switchback, logarithmic      120
Trancendentally small      7 9 10
Variable, inner      34
Variable, outer      34
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