Free boundary problems related to osmotic mass transfer through semipermeable membranes:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Tokyo
Gakkōtosho
1995
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| Schriftenreihe: | [GAKUTO international series / Mathematical sciences and applications]
4 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 205 S. graph. Darst. |
| ISBN: | 4762504130 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | GAKUTO INTERNATIONAL SERIES MATHEMATICAL SCIENCES AND APPLICATIONS
VOLUME 4 FREE BOUNDARY PROBLEMS RELATED TO OSMOTIC MASS TRANSFER THROUGH
SEMIPERMEABLE MEMBRANES L. RUBINSTEIN SCHOOL OF APPLIED SCIENCE AND
TECHNOLOGY THE HEBREW UNIVERSITY OF JERUSALEM, ISRAEL AND B. MARTUZANS
RESEARCH INSTITUTE OF MATHEMATICS AND COMPUTER SCIENCE THE UNIVERSITY OF
LATVIA, RIGA, LATVIA JULY 1995 GAKKOTOSHO, TOKYO, JAPAN CONTENTS PART 1.
DIFFUSION AND CAPILLARY MODELS OF LIQUID NONELECTROLYTES TRANSFER
THROUGH SEMIPERMEABLE RIGID AND ELASTIC MEMBRANES CHAPTER 1. DYNAMICAL
THEORY OF WATER TRANSFER INTO AN OPEN OSMOMETER BOUNDED BY A RIGID
SEMIPERMEABLE MEMBRANE 2 * 1. CAPILLARY MODEL. GOVERNING EQUATIONS 2 2.
EXISTENCE, UNIQUENESS AND STABILITY THEOREMS ; .. 7 3. DIFUSSION MODEL
10 CHAPTER 2. INCONSISTENCY OF PARABOLIC DIFFUSION MODELS OF
NONELECTROLYTE TRANS- FER THROUGH INITIALLY UNSTRESSED ELASTIC MEMBRANES
. 12 1. PRELIMINARIES .. 12 2. FORMULATION OF THE PROBLEM .14 3.
UNSOLVABILITY OF THE PROBLEM .* ; 18 4. DISCUSSION. POSSIBLE EFFECT OF
FRICTION : 22 5. DISCUSSION. EFFECT OF THE REQUIREMENT OF CONTINUITY UP
TO T = 0 IN CONDITIONS OF LOCAL MECHANICAL AND THERMODYNAMIC EQUILIBRIUM
..... ; .26 6. OSMOTICALLY INDUCED PARABOLIC DIFFUSION TRANSFER OF TWO
NONELECTROLYTES THROUGH AN ELASTIC SURFACE OF STRONG DISCONTINUITY . 28
CHAPTER 3. PARABOLIC DIFFUSION MODELS OF WATER TRANSFER THROUGH
INITIALLY STRESSED SEMIPERMEABLE MEMBRANES ..... 32 1. SOLVABILITY IN
THE CASE OF AN INFINITELY THIN MEMBRANE ............. : 32 2. THICK
SEMIPERMEABLE MEMBRAN. FORMULATION OF THE PROBLEM. REDUCTION TO A SYSTEM
OF VOLTERRA INTEGRAL EQUATIONS AND SOLVABILITY THEOREM * 36 CHAPTER 4.
HYPERBOLIC DIFFUSION MODEL: ALLOWANCE FOR FAST RELAXATION TIME IN
EQUATIONS OF MASS TRANSFER 49 1. FORMULATION OF THE PROBLEM. SCALING -.
I,...-...... 49 2. SOLUTION OF THE PROBLEM IN GO ...:........ ..52 3.
INITIAL DIRECTION OF EVOLUTION ARID INTEGRAL REPRESENTATION OF. X(T) 57
4. LIMITING VALUES OF THE CONCENTRATION AND ITS FIRST DERIVATIVES ON THE
CHARACTERISTIC II CONTENTS LINE LQ. LOCAL EXISTENCE THEOREM 60 5.
CONCLUDING REMARK 65 CHAPTER 5. ONE*PHASE CAPILLARY MODELS OF WATER
TRANSFER THROUGH THICK ELASTIC SEMIPERMEABLE MEMBRANES 67 1. TRANSFER
THROUGH A NON-SWELLING MEMBRANES 67 2. ONE-PHASE MODEL OF A SWELLING
MEMBRANE 70 CHAPTER 6. TWO-PHASE CAPILLARY MODEL OF A SWELLING MEMBRANE
75 1. FORMULATION OF THE PROBLEM ,. 75 2. INITIAL DIRECTION OF EVOLUTION
: 88 3. LOCAL EXISTENCE AND UNIQUENESS THEOREM 92 4. GLOBAL EXISTENCE
AND UNIQUENESS THEOREM .. 96 5. ASYMPTOTIC BEHAVIOR OF THE SOLUTION AS T
* OO 99 6. ASYMPTOTIC BEHAVIOR (CONT D). LEMMA 5.2 ;.. 106 CHAPTER 7.
NUMERICAL SIMULATION OF WATER TRANSFER THROUGH MEMBRANES ..109 1. WATER
TRANSFER INTO AN OPEN OSMOMETER BOUNDED BY RIGID SEMIPERMEABLE MEMBRANE.
CAPILLARY MODEL *. 109 2. DIFFUSION MODEL OF AN OPEN OSMOMETER *.:.. 115
. 3. CLOSED OSMOMETER WITH INFINITELY THIN DEFORMABLE INITIALLY STRESSED
MEMBRANE * : ....:. 120 4. CLOSED OSMOMETER WITH THICK DEFORMABLE
INITIALLY STRESSED SEMIPERMEABLE MEMBRANE 125 CHAPTER 8. CONCLUSION 130
PART 2. OSMOTICALLY INDUCED WATER EXCHANGE BETWEEN TWO NARROW
COMPARTMENTS SEPARATED BY A MEMBRANE NOT RESISTANT TO DEFORMATIONS
CHAPTER 1. FORMULATION OF THE PROBLEM; REDUCTION TO A SYSTEM OF INTEGRAL
EQUATIONS ; 135 1. INTRODUCTION. FORMULATION OF THE PROBLEM 135 2.
INTEGRAL REPRESENTATION OF W 1; U 2 AND THEIR DERIVATIVES, Z(T) AND Z(T)
142 . 3. GEVREY S.CHANGE OF VARIABLES AND INTEGRAL REPRESENTATION OF Y
.* 147 CONTENTS III 4. INTEGRAL REPRESENTATION OF IP AND $ 150 5.
INTEGRAL EQUATION VR{R) 154 CHAPTER 2. MAIN THEOREM AND AUXILIARY LEMMAS
156 1. FORMULATION OF THE MAIN THEOREM * 156 2. LEMMAS 160 CHAPTER 3.
GREEN S FUNCTIONS OF THE FIRST AND SECOND BOUNDARY*VALUE PROBLEM FOR THE
EQUATION L V (U) = §^ 164 1. THE GREEN S FUNCTIONS AND THEIR PROPERTIES
164 2. EXAMPLE OF ESTIMATES USED IN THE PROOF OF LEMMAS 3-4 . ... .
168 CHAPTER 4. PROOF OF LEMMA 2 : 173 1. BASIS ASSUMPTIONS
.....;........ 173 2. ESTIMATES OF W AND ITS. DERIVATIVES ;***** 173 3.
ESTIMATES OF 0(X,T) AND ITS DERIVATIVES 174 4. ESTIMATES OF (, A, THEIR
DERIVATIVES AND VARIATIONS ,-....* 175 5. ESTIMATES OF DERIVATIVES AND
VARIATIONS OF /3(X, T), X, AND 7 .....:: 176 6. ESTIMATES OF AJ(A(X,
Y, T)R 2 ) AND AFY(X,T, R) .: 178 7. ESTIMATES OF AF T (X ,T,R) AND A
T (Z(T),T,0) : ...:... ....:.....-..:!. 180 APPENDIX 1. ....- : 184 ON
NUMERICAL SIMULATION OF THE TWO-PHASE CAPILLARY MODEL OF A SWELLING
MEMBRANE .184 ,. . . * . . APPENDIX 2. 194 EXCERPTS FROM HEAT POTENTIAL
THEORY :.. 194 APPENDIX 3 197 FORMULAS OF THE MECHANICAL (FRICTIONAL)
THEORY OF DIFFUSION 197 REFERENCES 199 SUBJECT INDEX 201
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:15:35Z |
| institution | BVB |
| isbn | 4762504130 |
| language | English |
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| physical | VI, 205 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Gakkōtosho |
| record_format | marc |
| series2 | [GAKUTO international series / Mathematical sciences and applications] |
| spelling | Rubinstein, Lev Verfasser aut Free boundary problems related to osmotic mass transfer through semipermeable membranes L. Rubinstein ; B. Martuzans Tokyo Gakkōtosho 1995 VI, 205 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [GAKUTO international series / Mathematical sciences and applications] 4 Boundary value problems Osmoregulation Semipermeable Membran (DE-588)4140708-8 gnd rswk-swf Osmose (DE-588)4043973-2 gnd rswk-swf Freies Randwertproblem (DE-588)4155303-2 gnd rswk-swf Osmose (DE-588)4043973-2 s Semipermeable Membran (DE-588)4140708-8 s Freies Randwertproblem (DE-588)4155303-2 s DE-604 Martuzans, B. Verfasser aut Mathematical sciences and applications] [GAKUTO international series 4 (DE-604)BV011762304 4 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007948251&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rubinstein, Lev Martuzans, B. Free boundary problems related to osmotic mass transfer through semipermeable membranes Boundary value problems Osmoregulation Semipermeable Membran (DE-588)4140708-8 gnd Osmose (DE-588)4043973-2 gnd Freies Randwertproblem (DE-588)4155303-2 gnd |
| subject_GND | (DE-588)4140708-8 (DE-588)4043973-2 (DE-588)4155303-2 |
| title | Free boundary problems related to osmotic mass transfer through semipermeable membranes |
| title_auth | Free boundary problems related to osmotic mass transfer through semipermeable membranes |
| title_exact_search | Free boundary problems related to osmotic mass transfer through semipermeable membranes |
| title_full | Free boundary problems related to osmotic mass transfer through semipermeable membranes L. Rubinstein ; B. Martuzans |
| title_fullStr | Free boundary problems related to osmotic mass transfer through semipermeable membranes L. Rubinstein ; B. Martuzans |
| title_full_unstemmed | Free boundary problems related to osmotic mass transfer through semipermeable membranes L. Rubinstein ; B. Martuzans |
| title_short | Free boundary problems related to osmotic mass transfer through semipermeable membranes |
| title_sort | free boundary problems related to osmotic mass transfer through semipermeable membranes |
| topic | Boundary value problems Osmoregulation Semipermeable Membran (DE-588)4140708-8 gnd Osmose (DE-588)4043973-2 gnd Freies Randwertproblem (DE-588)4155303-2 gnd |
| topic_facet | Boundary value problems Osmoregulation Semipermeable Membran Osmose Freies Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007948251&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011762304 |
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