On the birth of boundary layers:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Amsterdam
Math. Centrum
1971
|
| Series: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
36 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 137 S. Ill. |
Staff View
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| 245 | 1 | 0 | |a On the birth of boundary layers |c by J. Grasman |
| 264 | 1 | |a Amsterdam |b Math. Centrum |c 1971 | |
| 300 | |a 137 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |v 36 | |
| 502 | |a Zugl.: Delft, TH., Diss., 1971 | ||
| 650 | 4 | |a Couche limite | |
| 650 | 4 | |a Développements asymptotiques | |
| 650 | 4 | |a Perturbation (Mathématiques) | |
| 650 | 4 | |a Asymptotic expansions | |
| 650 | 4 | |a Boundary layer | |
| 650 | 4 | |a Perturbation (Mathematics) | |
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Record in the Search Index
| _version_ | 1804118842903887872 |
|---|---|
| adam_text | CONTENTS
CHAPTER I INTRODUCTION 1
CHAPTER II DEFINITIONS AND PROPERTIES OF ASYMPTOTIC APPROXIMATIONS 5
CHAPTER III NON UNIFORM CONVERGENCE OF FUNCTIONS OF ONE VARIABLE 9
3.1 Some aspects of non uniform convergence 9
3.2 Extension theorems 11
3.3 Limit functions 12
3.k Local asymptotic approximations 14
3.5 The matching principle 15
3.6 Uniformly valid asymptotic approximations 17
3.7 A special case of non uniform convergence of func¬
tions of two variables 21
CHAPTER IV APPROXIMATIONS OF IMPLICITLY DEFINED FUNCTIONS 27
k. 1 Introductory remarks 27
k,2 The initial value problem for an ordinary second
order differential equation 27
1+.3 The boundary value problem for an ordinary second
order differential equation 37
k.k The elliptic problem 44
CHAPTER V NON UNIFORM CONVERGENCE OF FUNCTIONS OF TWO VARIABLES 50
5.1 Introductory remarks 50
5.2 Extension theorems 51
5.3 Limit functions 52
5.U The matching principle 55
5.5 Local and uniform approximations 69
5.6 Application to an explicitly given function 82
5.7 The birth of the parabolic boundary layer 85
CHAPTER VI THE BIBTH OF A BOUNDARY LAYER IN A LINEAR ELLIPTIC
SINGULAR PERTURBATION PROBLEM 89
6.1 Preliminary remarks 89
6.2 Locally valid expansions 96
6.3 Uniformly valid expansions 106
6.k Higher order tangency 113
6.5 A magnetohydrodynamical problem 117
APPENDIX 121
REFERENCES 132
INDEX 137
|
| any_adam_object | 1 |
| author | Grasman, Johan 1944- |
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| ctrlnum | (OCoLC)361626 (DE-599)BVBBV004724967 |
| dewey-full | 532/.052 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.052 |
| dewey-search | 532/.052 |
| dewey-sort | 3532 252 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Thesis Book |
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| id | DE-604.BV004724967 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:16:44Z |
| institution | BVB |
| language | English |
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| physical | 137 S. Ill. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Math. Centrum |
| record_format | marc |
| series | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| series2 | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts |
| spelling | Grasman, Johan 1944- Verfasser (DE-588)12056212X aut On the birth of boundary layers by J. Grasman Amsterdam Math. Centrum 1971 137 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 36 Zugl.: Delft, TH., Diss., 1971 Couche limite Développements asymptotiques Perturbation (Mathématiques) Asymptotic expansions Boundary layer Perturbation (Mathematics) Störungstheorie (DE-588)4128420-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Störungstheorie (DE-588)4128420-3 s DE-604 Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts 36 (DE-604)BV000893527 36 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002904796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Grasman, Johan 1944- On the birth of boundary layers Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts Couche limite Développements asymptotiques Perturbation (Mathématiques) Asymptotic expansions Boundary layer Perturbation (Mathematics) Störungstheorie (DE-588)4128420-3 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4113937-9 |
| title | On the birth of boundary layers |
| title_auth | On the birth of boundary layers |
| title_exact_search | On the birth of boundary layers |
| title_full | On the birth of boundary layers by J. Grasman |
| title_fullStr | On the birth of boundary layers by J. Grasman |
| title_full_unstemmed | On the birth of boundary layers by J. Grasman |
| title_short | On the birth of boundary layers |
| title_sort | on the birth of boundary layers |
| topic | Couche limite Développements asymptotiques Perturbation (Mathématiques) Asymptotic expansions Boundary layer Perturbation (Mathematics) Störungstheorie (DE-588)4128420-3 gnd |
| topic_facet | Couche limite Développements asymptotiques Perturbation (Mathématiques) Asymptotic expansions Boundary layer Perturbation (Mathematics) Störungstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002904796&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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