Boundary Value Problems in Abstract Kinetic Theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1987
|
| Schriftenreihe: | Operator Theory: Advances and Applications
23 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This monograph is intended to be a reasonably self -contained and fairly complete exposition of rigorous results in abstract kinetic theory. Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics, as well as a plethora of additional applications in various areas of physics, chemistry, biology and engineering. The mathematical problems addressed within the monograph deal with existence and uniqueness of solutions of initial-boundary value problems, as well as questions of positivity, continuity, growth, stability, explicit representation of solutions, and equivalence of various formulations of the transport equations under consideration. The reader is assumed to have a certain familiarity with elementary aspects of functional analysis, especially basic semigroup theory, and an effort is made to outline any more specialized topics as they are introduced. Over the past several years there has been substantial progress in developing an abstract mathematical framework for treating linear transport problems. The benefits of such an abstract theory are twofold: (i) a mathematically rigorous basis has been established for a variety of problems which were traditionally treated by somewhat heuristic distribution theory methods; and (ii) the results obtained are applicable to a great variety of disparate kinetic processes. Thus, numerous different systems of integrodifferential equations which model a variety of kinetic processes are themselves modelled by an abstract operator equation on a Hilbert (or Banach) space |
| Beschreibung: | 1 Online-Ressource (X, 525 p) |
| ISBN: | 9783034854788 9783034854801 |
| ISSN: | 0255-0156 |
| DOI: | 10.1007/978-3-0348-5478-8 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042421869 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1987 |||| o||u| ||||||eng d | ||
| 020 | |a 9783034854788 |c Online |9 978-3-0348-5478-8 | ||
| 020 | |a 9783034854801 |c Print |9 978-3-0348-5480-1 | ||
| 024 | 7 | |a 10.1007/978-3-0348-5478-8 |2 doi | |
| 035 | |a (OCoLC)879623244 | ||
| 035 | |a (DE-599)BVBBV042421869 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 50 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Greenberg, William |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Boundary Value Problems in Abstract Kinetic Theory |c by William Greenberg, Cornelis Mee, Vladimir Protopopescu |
| 264 | 1 | |a Basel |b Birkhäuser Basel |c 1987 | |
| 300 | |a 1 Online-Ressource (X, 525 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 23 |x 0255-0156 | |
| 500 | |a This monograph is intended to be a reasonably self -contained and fairly complete exposition of rigorous results in abstract kinetic theory. Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics, as well as a plethora of additional applications in various areas of physics, chemistry, biology and engineering. The mathematical problems addressed within the monograph deal with existence and uniqueness of solutions of initial-boundary value problems, as well as questions of positivity, continuity, growth, stability, explicit representation of solutions, and equivalence of various formulations of the transport equations under consideration. The reader is assumed to have a certain familiarity with elementary aspects of functional analysis, especially basic semigroup theory, and an effort is made to outline any more specialized topics as they are introduced. Over the past several years there has been substantial progress in developing an abstract mathematical framework for treating linear transport problems. The benefits of such an abstract theory are twofold: (i) a mathematically rigorous basis has been established for a variety of problems which were traditionally treated by somewhat heuristic distribution theory methods; and (ii) the results obtained are applicable to a great variety of disparate kinetic processes. Thus, numerous different systems of integrodifferential equations which model a variety of kinetic processes are themselves modelled by an abstract operator equation on a Hilbert (or Banach) space | ||
| 650 | 4 | |a Science (General) | |
| 650 | 4 | |a Science, general | |
| 650 | 4 | |a Naturwissenschaft | |
| 650 | 0 | 7 | |a Transportprozess |0 (DE-588)4185932-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kinetische Theorie |0 (DE-588)4030669-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 1 | |a Transportprozess |0 (DE-588)4185932-7 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 1 | 1 | |a Kinetische Theorie |0 (DE-588)4030669-0 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 700 | 1 | |a Mee, Cornelis |e Sonstige |4 oth | |
| 700 | 1 | |a Protopopescu, Vladimir |e Sonstige |4 oth | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-0348-5478-8 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027857286 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153095436894208 |
|---|---|
| any_adam_object | |
| author | Greenberg, William |
| author_facet | Greenberg, William |
| author_role | aut |
| author_sort | Greenberg, William |
| author_variant | w g wg |
| building | Verbundindex |
| bvnumber | BV042421869 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879623244 (DE-599)BVBBV042421869 |
| dewey-full | 50 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 050 - General serial publications |
| dewey-raw | 50 |
| dewey-search | 50 |
| dewey-sort | 250 |
| dewey-tens | 050 - General serial publications |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-0348-5478-8 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03850nmm a2200553zcb4500</leader><controlfield tag="001">BV042421869</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1987 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034854788</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-0348-5478-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783034854801</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-0348-5480-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-0348-5478-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)879623244</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421869</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">50</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Greenberg, William</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Boundary Value Problems in Abstract Kinetic Theory</subfield><subfield code="c">by William Greenberg, Cornelis Mee, Vladimir Protopopescu</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel</subfield><subfield code="b">Birkhäuser Basel</subfield><subfield code="c">1987</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (X, 525 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Operator Theory: Advances and Applications</subfield><subfield code="v">23</subfield><subfield code="x">0255-0156</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This monograph is intended to be a reasonably self -contained and fairly complete exposition of rigorous results in abstract kinetic theory. Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics, as well as a plethora of additional applications in various areas of physics, chemistry, biology and engineering. The mathematical problems addressed within the monograph deal with existence and uniqueness of solutions of initial-boundary value problems, as well as questions of positivity, continuity, growth, stability, explicit representation of solutions, and equivalence of various formulations of the transport equations under consideration. The reader is assumed to have a certain familiarity with elementary aspects of functional analysis, especially basic semigroup theory, and an effort is made to outline any more specialized topics as they are introduced. Over the past several years there has been substantial progress in developing an abstract mathematical framework for treating linear transport problems. The benefits of such an abstract theory are twofold: (i) a mathematically rigorous basis has been established for a variety of problems which were traditionally treated by somewhat heuristic distribution theory methods; and (ii) the results obtained are applicable to a great variety of disparate kinetic processes. Thus, numerous different systems of integrodifferential equations which model a variety of kinetic processes are themselves modelled by an abstract operator equation on a Hilbert (or Banach) space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Science (General)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Science, general</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Naturwissenschaft</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Transportprozess</subfield><subfield code="0">(DE-588)4185932-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kinetische Theorie</subfield><subfield code="0">(DE-588)4030669-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Transportprozess</subfield><subfield code="0">(DE-588)4185932-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kinetische Theorie</subfield><subfield code="0">(DE-588)4030669-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mee, Cornelis</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Protopopescu, Vladimir</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-0348-5478-8</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027857286</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042421869 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9783034854788 9783034854801 |
| issn | 0255-0156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857286 |
| oclc_num | 879623244 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (X, 525 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Birkhäuser Basel |
| record_format | marc |
| series2 | Operator Theory: Advances and Applications |
| spelling | Greenberg, William Verfasser aut Boundary Value Problems in Abstract Kinetic Theory by William Greenberg, Cornelis Mee, Vladimir Protopopescu Basel Birkhäuser Basel 1987 1 Online-Ressource (X, 525 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 23 0255-0156 This monograph is intended to be a reasonably self -contained and fairly complete exposition of rigorous results in abstract kinetic theory. Throughout, abstract kinetic equations refer to (an abstract formulation of) equations which describe transport of particles, momentum, energy, or, indeed, any transportable physical quantity. These include the equations of traditional (neutron) transport theory, radiative transfer, and rarefied gas dynamics, as well as a plethora of additional applications in various areas of physics, chemistry, biology and engineering. The mathematical problems addressed within the monograph deal with existence and uniqueness of solutions of initial-boundary value problems, as well as questions of positivity, continuity, growth, stability, explicit representation of solutions, and equivalence of various formulations of the transport equations under consideration. The reader is assumed to have a certain familiarity with elementary aspects of functional analysis, especially basic semigroup theory, and an effort is made to outline any more specialized topics as they are introduced. Over the past several years there has been substantial progress in developing an abstract mathematical framework for treating linear transport problems. The benefits of such an abstract theory are twofold: (i) a mathematically rigorous basis has been established for a variety of problems which were traditionally treated by somewhat heuristic distribution theory methods; and (ii) the results obtained are applicable to a great variety of disparate kinetic processes. Thus, numerous different systems of integrodifferential equations which model a variety of kinetic processes are themselves modelled by an abstract operator equation on a Hilbert (or Banach) space Science (General) Science, general Naturwissenschaft Transportprozess (DE-588)4185932-7 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Randwertproblem (DE-588)4048395-2 s Transportprozess (DE-588)4185932-7 s 1\p DE-604 Kinetische Theorie (DE-588)4030669-0 s 2\p DE-604 Mee, Cornelis Sonstige oth Protopopescu, Vladimir Sonstige oth https://doi.org/10.1007/978-3-0348-5478-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Greenberg, William Boundary Value Problems in Abstract Kinetic Theory Science (General) Science, general Naturwissenschaft Transportprozess (DE-588)4185932-7 gnd Kinetische Theorie (DE-588)4030669-0 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4185932-7 (DE-588)4030669-0 (DE-588)4048395-2 |
| title | Boundary Value Problems in Abstract Kinetic Theory |
| title_auth | Boundary Value Problems in Abstract Kinetic Theory |
| title_exact_search | Boundary Value Problems in Abstract Kinetic Theory |
| title_full | Boundary Value Problems in Abstract Kinetic Theory by William Greenberg, Cornelis Mee, Vladimir Protopopescu |
| title_fullStr | Boundary Value Problems in Abstract Kinetic Theory by William Greenberg, Cornelis Mee, Vladimir Protopopescu |
| title_full_unstemmed | Boundary Value Problems in Abstract Kinetic Theory by William Greenberg, Cornelis Mee, Vladimir Protopopescu |
| title_short | Boundary Value Problems in Abstract Kinetic Theory |
| title_sort | boundary value problems in abstract kinetic theory |
| topic | Science (General) Science, general Naturwissenschaft Transportprozess (DE-588)4185932-7 gnd Kinetische Theorie (DE-588)4030669-0 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Transportprozess Kinetische Theorie Randwertproblem |
| url | https://doi.org/10.1007/978-3-0348-5478-8 |
| work_keys_str_mv | AT greenbergwilliam boundaryvalueproblemsinabstractkinetictheory AT meecornelis boundaryvalueproblemsinabstractkinetictheory AT protopopescuvladimir boundaryvalueproblemsinabstractkinetictheory |