On the birth of boundary layers:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
Math. Centrum
1971
|
| Schriftenreihe: | Mathematisch Centrum <Amsterdam>: Mathematical Centre tracts
36 |
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | 137 S. Ill. |
Internformat
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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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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002904796 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 DB 73 269 0111 2001 B 6000-36 |
|---|---|
| DE-BY-TUM_katkey | 542997 |
| DE-BY-TUM_location | Mag 01 |
| DE-BY-TUM_media_number | TEMP2192660 040010567821 |
| _version_ | 1821938342333251587 |
| 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
|
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| classification_rvk | SI 318 |
| 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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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV004724967 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:22:00Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002904796 |
| oclc_num | 361626 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-29T DE-703 DE-83 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-29T DE-703 DE-83 DE-188 |
| 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 |
| 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 |
| volume_link | (DE-604)BV000893527 |
| work_keys_str_mv | AT grasmanjohan onthebirthofboundarylayers |
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Bibliotheksmagazin
| Signatur: |
0001 DB 73 269 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |
Teilbibliothek Mathematik & Informatik, Berichte
| Signatur: |
0111 2001 B 6000-36 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |