Boundary value problems for transport equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
1998
|
| Series: | Modeling and simulation in science, engineering and technology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 278 S. |
| ISBN: | 0817639861 3764339861 |
Staff View
MARC
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| 100 | 1 | |a Agoškov, Valerij I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Boundary value problems for transport equations |c Valeri Agoshkov |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1998 | |
| 300 | |a XVII, 278 S. | ||
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| 490 | 0 | |a Modeling and simulation in science, engineering and technology | |
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Record in the Search Index
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| adam_text | Contents
Introduction ix
1 Problems and equations of transport theory 1
1.1 Some notions of transport theory 2
1.2 Basic transport equations 5
1.3 Boundary conditions and statements of problems 11
1.4 Typical boundary value problems 15
1.5 Integral equations of transport theory 20
1.6 Adjoint problems 24
1.7 Correctness of statements and need of new functional
spaces 28
2 Functional spaces, existence of traces, and extension
of functions 35
2.1 Spaces Hp(fl x D). Trace existence and extensions of
functions 36
2.2 Spaces H};[( 1,1) x (0,H)]. Trace existence and extensions
of functions 52
2.3 Spaces of periodic functions V and H^+a k. Properties of
operator S 61
2.4 Spaces Hp+a h(fl x D). Existence of traces and extensions
of functions 73
3 Variational statements and generalized solutions of
transport problems 105
3.1 The first variational problem. Necessary and sufficient
conditions of solvability in H^ 106
3.2 The second variational problem. Estimates of boundary
values of solutions 116
3.3 General approach to symmetrization. The third variational
problem. Existence of solutions 123
viii Contents
3.4 Reflection operators and fundamental functions 137
3.5 Existence of solutions for periodic problems 153
4 Regularity properties of generalized solutions 164
4.1 Regularity of periodic solutions in a plane parallel
geometry 165
4.2 Regularity of periodic solutions in three dimensional
geometry 175
4.3 Regularity for the boundary value plane parallel problem . 179
4.4 Three dimensional boundary value problems 191
4.5 Regularity of solutions in (x, ?/) geometry 205
5 Applications to analysis of transport problems and
numerical algorithms 216
5.1 Operators L~lS, SL*~l 216
5.2 Fundamental functions of reflection operators and inverse
problems 225
5.3 Convergence of domain decomposition methods for transport
problems 227
5.4 Some applications for numerical algorithms 235
5.5 Energy dependent problems 248
5.6 Justification of a perturbation algorithm for a nonlinear
transport equation 256
Appendix. Main notations and functional spaces 263
Index 266
Bibliography 271
|
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| discipline | Physik Mathematik |
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| indexdate | 2024-07-09T18:24:42Z |
| institution | BVB |
| isbn | 0817639861 3764339861 |
| language | English |
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| physical | XVII, 278 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Modeling and simulation in science, engineering and technology |
| spelling | Agoškov, Valerij I. Verfasser aut Boundary value problems for transport equations Valeri Agoshkov Boston [u.a.] Birkhäuser 1998 XVII, 278 S. txt rdacontent n rdamedia nc rdacarrier Modeling and simulation in science, engineering and technology Physique mathématique ram Problèmes aux limites ram Transport, Théorie du ram Mathematik Mathematische Physik Boundary value problems Mathematical physics Transport theory Mathematics Transportgleichung (DE-588)4185928-5 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Transportgleichung (DE-588)4185928-5 s Randwertproblem (DE-588)4048395-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008319186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Agoškov, Valerij I. Boundary value problems for transport equations Physique mathématique ram Problèmes aux limites ram Transport, Théorie du ram Mathematik Mathematische Physik Boundary value problems Mathematical physics Transport theory Mathematics Transportgleichung (DE-588)4185928-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4185928-5 (DE-588)4048395-2 |
| title | Boundary value problems for transport equations |
| title_auth | Boundary value problems for transport equations |
| title_exact_search | Boundary value problems for transport equations |
| title_full | Boundary value problems for transport equations Valeri Agoshkov |
| title_fullStr | Boundary value problems for transport equations Valeri Agoshkov |
| title_full_unstemmed | Boundary value problems for transport equations Valeri Agoshkov |
| title_short | Boundary value problems for transport equations |
| title_sort | boundary value problems for transport equations |
| topic | Physique mathématique ram Problèmes aux limites ram Transport, Théorie du ram Mathematik Mathematische Physik Boundary value problems Mathematical physics Transport theory Mathematics Transportgleichung (DE-588)4185928-5 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Physique mathématique Problèmes aux limites Transport, Théorie du Mathematik Mathematische Physik Boundary value problems Mathematical physics Transport theory Mathematics Transportgleichung Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008319186&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT agoskovvaleriji boundaryvalueproblemsfortransportequations |