Wave propagation, observation and control in 1-d flexible multi-structures:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York
Springer
2006
|
| Schriftenreihe: | Mathématiques & applications
50 |
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=2671123&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014921629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 213 - 219 Auch als Internetausgabe |
| Umfang: | IX, 219 S. graph. Darst. 24 cm |
| ISBN: | 9783540272397 3540272399 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021707769 | ||
| 003 | DE-604 | ||
| 005 | 20060901 | ||
| 007 | t| | ||
| 008 | 060825s2006 gw d||| |||| 00||| eng d | ||
| 015 | |a 05,N36,0552 |2 dnb | ||
| 015 | |a 05,A45,0836 |2 dnb | ||
| 016 | 7 | |a 976027747 |2 DE-101 | |
| 020 | |a 9783540272397 |c kart. : EUR 42.75 (freier Pr.), sfr 73.00 (freier Pr.) |9 978-3-540-27239-7 | ||
| 020 | |a 3540272399 |c kart. : EUR 42.75 (freier Pr.), sfr 73.00 (freier Pr.) |9 3-540-27239-9 | ||
| 020 | |z 9783540272399 |c kart. : EUR 42.75 (freier Pr.), sfr 73.00 (freier Pr.) |9 978-3-540-27239-9 | ||
| 024 | 3 | |a 9783540272397 | |
| 028 | 5 | 2 | |a 11515319 |
| 035 | |a (OCoLC)61714943 | ||
| 035 | |a (DE-599)BVBBV021707769 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-703 |a DE-634 | ||
| 050 | 0 | |a QA935 | |
| 082 | 0 | |a 530.12/4 |2 22 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a 510 |2 sdnb | ||
| 084 | |a 530 |2 sdnb | ||
| 100 | 1 | |a Dáger, René |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wave propagation, observation and control in 1-d flexible multi-structures |c René Dáger and Enrique Zuazua |
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer |c 2006 | |
| 300 | |a IX, 219 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathématiques & applications |v 50 | |
| 500 | |a Literaturverz. S. 213 - 219 | ||
| 500 | |a Auch als Internetausgabe | ||
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Flexible structures | |
| 650 | 4 | |a Schrödinger equation | |
| 650 | 4 | |a Wave mechanics | |
| 650 | 4 | |a Wave-motion, Theory of | |
| 650 | 0 | 7 | |a Planarer Graph |0 (DE-588)4174783-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mehrkörpersystem |0 (DE-588)4038390-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Schwingungssystem |0 (DE-588)4180568-9 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mehrkörpersystem |0 (DE-588)4038390-8 |D s |
| 689 | 0 | 1 | |a Schwingungssystem |0 (DE-588)4180568-9 |D s |
| 689 | 0 | 2 | |a System von partiellen Differentialgleichungen |0 (DE-588)4116672-3 |D s |
| 689 | 0 | 3 | |a Planarer Graph |0 (DE-588)4174783-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Zuazua, Enrique |e Verfasser |4 aut | |
| 830 | 0 | |a Mathématiques & applications |v 50 |w (DE-604)BV006642035 |9 50 | |
| 856 | 4 | 2 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=2671123&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014921629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-014921629 | |
Datensatz im Suchindex
| _version_ | 1819352195945988096 |
|---|---|
| adam_text | RENE DAGER AND ENRIQUE ZUAZUA
WAVE PROGAGATION,
OBSERVATION AND CONTROL
IN -D FLEXIBLE
MULTI-STRUCTURES
SPRINGER
CONTENTS
1 INTRODUCTION 1
2 PRELIMINARIES 9
2.1 THE ELASTIC STRING 9
2.2 NETWORKS OF STRINGS 14
2.2.1 ELEMENTS ON GRAPHS 14
2.2.2 EQUATIONS OF MOTION FOR NETWORKS 15
2.3 THE CONTROL PROBLEM 21
2.3.1 BASIC DEFINITIONS 21
2.3.2 AN EQUIVALENT FORMULATION OF THE CONTROL PROBLEM .... 22
2.4 A CONTROLLABILITY THEOREM AND ITS LIMITATIONS 24
3 SOME USEFUL TOOLS 25
3.1 D ALEMBERT FORMULA AND BOUNDARY OBSERVABILITY
OF THE 1 * D WAVE EQUATION 25
3.1.1 D ALEMBERT FORMULA 25
3.1.2 BOUNDARY OBSERVABILITY OF THE 1 * D WAVE EQUATION ... 27
3.2 HUM 28
3.2.1 DESCRIPTION OF THE METHOD 28
3.2.2 APPLICATION TO THE CONTROL OF NETWORKS 33
3.3 THE METHOD OF MOMENTS 36
3.3.1 DESCRIPTION OF THE METHOD 36
3.3.2 APPLICATION TO THE CONTROL OF NETWORKS 40
3.4 RIESZ BASES AND INGHAM-TYPE INEQUALITIES 45
3.4.1 RIESZ BASES 45
3.4.2 GENERALIZED INGHAM THEOREMS 45
3.4.3 A NEW INEQUALITY 49
4 THE THREE STRING NETWORK 53
4.1 THE THREE STRING NETWORK WITH TWO CONTROLLED NODES 53
4.1.1 EQUATIONS OF MOTION OF THE NETWORK 53
VIII CONTENTS
4.1.2 THE CONTROL PROBLEM 55
4.2 A SIMPLER PROBLEM: SIMULTANEOUS CONTROL OF TWO STRINGS .... 57
4.2.1 IDENTIFICATION OF CONTROLLABLE SUBSPACES 61
4.3 THE THREE STRING NETWORK WITH ONE CONTROLLED NODE 67
4.4 AN OBSERVABILITY INEQUALITY 69
4.5 PROPERTIES OF THE SEQUENCE OF EIGENVALUES 76
4.6 OBSERVABILITY OF THE FOURIER COEFFICIENTS 80
4.7 STUDY OF THE WEIGHTS C
N
81
4.8 RELATION WITH THE SIMULTANEOUS CONTROL OF TWO STRINGS 87
4.9 LACK OF OBSERVABILITY IN SMALL TIME 90
4.10 APPLICATION OF THE METHOD OF MOMENTS TO CONTROL 96
5 GENERAL TREES 103
5.1 NOTATIONS AND STATEMENT OF THE PROBLEM 104
5.1.1 NOTATIONS FOR GRAPHS 104
5.1.2 EQUATIONS OF MOTION 105
5.2 THE OPERATORS T AND Q 108
5.2.1 A TREE FORMED BY A SINGLE STRING 108
5.2.2 OPERATORS OF TYPE S 108
5.2.3 CONSTRUCTION OF !P AND Q IN THE GENERAL CASE 114
5.2.4 THE ACTION OF ? AND Q AT THE INTERIOR NODES 116
5.2.5 ACTION OF T AND Q ON THE SOLUTION 118
5.3 THE MAIN OBSERVABILITY RESULT 119
5.4 RELATION BETWEEN 7 AND Q AND THE SPECTRUM 123
5.4.1 THE EIGENVALUE PROBLEM 124
5.4.2 FURTHER PROPERTIES OF T AND Q 129
5.5 OBSERVABILITY RESULTS 131
5.5.1 WEIGHTED OBSERVABILITY INEQUALITIES 131
5.5.2 NON-DEGENERATE TREES 133
5.5.3 ON THE SET OF NON-DEGENERATE TREES . 135
5.6 CONSEQUENCES CONCERNING CONTROLLABILITY 137
5.7 SIMULTANEOUS OBSERVABILITY AND CONTROLLABILITY OF NETWORKS ... 138
5.8 EXAMPLES 142
5.8.1 THE STAR-SHAPED NETWORK WITH N STRINGS 142
5.8.2 SIMULTANEOUS CONTROL OF N STRINGS 144
5.8.3 A NON STAR-SHAPED TREE 146
6 SOME OBSERVABILITY AND CONTROLLABILITY RESULTS FOR
GENERAL NETWORKS 149
6.1 SPECTRAL CONTROL OF GENERAL NETWORKS 150
6.1.1 ASYMPTOTIC BEHAVIOR OF THE EIGENFUNCTIONS 150
6.1.2 APPLICATION TO CONTROL 154
6.2 COLORED NETWORKS 157
6.3 OPTIMALITY OF THEOREM 3.2.7 161
6.3.1 SIMULTANEOUS CONTROL OF SERIALLY CONNECTED STRINGS .... 162
CONTENTS IX
7 SIMULTANEOUS OBSERVATION AND CONTROL FROM AN INTERIOR
REGION 167
7.1 SIMULTANEOUS INTERIOR CONTROL OF TWO STRINGS 168
7.1.1 STATEMENT OF THE PROBLEM 168
7.1.2 CONTROL OF STRINGS WITH DIFFERENT DENSITIES 170
7.1.3 CONTROL OF STRINGS WITH EQUAL DENSITIES 174
7.2 SIMULTANEOUS CONTROL ON THE WHOLE DOMAIN 177
8 OTHER EQUATIONS ON NETWORKS 183
8.1 THE HEAT EQUATION 184
8.2 THE SCHRODINGER EQUATION 187
8.3 A MODEL OF NETWORK FOR BEAMS 192
9 FINAL REMARKS AND OPEN PROBLEMS 197
9.1 BRIEF DESCRIPTION OF THE MAIN RESULTS OF THE BOOK 197
9.1.1 NETWORKS OF STRINGS 197
9.1.2 SIMULTANEOUS CONTROL OF STRINGS 198
9.1.3 OTHER EQUATIONS ON NETWORKS 199
9.2 FUTURE LINES OF RESEARCH AND OPEN PROBLEMS 199
SOME CONSEQUENCES OF DIOPHANTINE APPROXIMATION THEOREMS . 205
REFERENCES 213
INDEX 221
|
| any_adam_object | 1 |
| author | Dáger, René Zuazua, Enrique |
| author_facet | Dáger, René Zuazua, Enrique |
| author_role | aut aut |
| author_sort | Dáger, René |
| author_variant | r d rd e z ez |
| building | Verbundindex |
| bvnumber | BV021707769 |
| callnumber-first | Q - Science |
| callnumber-label | QA935 |
| callnumber-raw | QA935 |
| callnumber-search | QA935 |
| callnumber-sort | QA 3935 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)61714943 (DE-599)BVBBV021707769 |
| dewey-full | 530.12/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12/4 |
| dewey-search | 530.12/4 |
| dewey-sort | 3530.12 14 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02772nam a2200661 cb4500</leader><controlfield tag="001">BV021707769</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20060901 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">060825s2006 gw d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">05,N36,0552</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">05,A45,0836</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">976027747</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540272397</subfield><subfield code="c">kart. : EUR 42.75 (freier Pr.), sfr 73.00 (freier Pr.)</subfield><subfield code="9">978-3-540-27239-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540272399</subfield><subfield code="c">kart. : EUR 42.75 (freier Pr.), sfr 73.00 (freier Pr.)</subfield><subfield code="9">3-540-27239-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9783540272399</subfield><subfield code="c">kart. : EUR 42.75 (freier Pr.), sfr 73.00 (freier Pr.)</subfield><subfield code="9">978-3-540-27239-9</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783540272397</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">11515319</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)61714943</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021707769</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA935</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.12/4</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">530</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Dáger, René</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Wave propagation, observation and control in 1-d flexible multi-structures</subfield><subfield code="c">René Dáger and Enrique Zuazua</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ; Heidelberg ; New York</subfield><subfield code="b">Springer</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 219 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">24 cm</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">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Mathématiques & applications</subfield><subfield code="v">50</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 213 - 219</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Auch als Internetausgabe</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Flexible structures</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Schrödinger equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wave mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wave-motion, Theory of</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Planarer Graph</subfield><subfield code="0">(DE-588)4174783-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mehrkörpersystem</subfield><subfield code="0">(DE-588)4038390-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schwingungssystem</subfield><subfield code="0">(DE-588)4180568-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mehrkörpersystem</subfield><subfield code="0">(DE-588)4038390-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Schwingungssystem</subfield><subfield code="0">(DE-588)4180568-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">System von partiellen Differentialgleichungen</subfield><subfield code="0">(DE-588)4116672-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Planarer Graph</subfield><subfield code="0">(DE-588)4174783-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zuazua, Enrique</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathématiques & applications</subfield><subfield code="v">50</subfield><subfield code="w">(DE-604)BV006642035</subfield><subfield code="9">50</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=2671123&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014921629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014921629</subfield></datafield></record></collection> |
| id | DE-604.BV021707769 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:39:53Z |
| institution | BVB |
| isbn | 9783540272397 3540272399 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014921629 |
| oclc_num | 61714943 |
| open_access_boolean | |
| owner | DE-703 DE-634 |
| owner_facet | DE-703 DE-634 |
| physical | IX, 219 S. graph. Darst. 24 cm |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| series | Mathématiques & applications |
| series2 | Mathématiques & applications |
| spellingShingle | Dáger, René Zuazua, Enrique Wave propagation, observation and control in 1-d flexible multi-structures Mathématiques & applications Differential equations, Partial Flexible structures Schrödinger equation Wave mechanics Wave-motion, Theory of Planarer Graph (DE-588)4174783-5 gnd Mehrkörpersystem (DE-588)4038390-8 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Schwingungssystem (DE-588)4180568-9 gnd |
| subject_GND | (DE-588)4174783-5 (DE-588)4038390-8 (DE-588)4116672-3 (DE-588)4180568-9 |
| title | Wave propagation, observation and control in 1-d flexible multi-structures |
| title_auth | Wave propagation, observation and control in 1-d flexible multi-structures |
| title_exact_search | Wave propagation, observation and control in 1-d flexible multi-structures |
| title_full | Wave propagation, observation and control in 1-d flexible multi-structures René Dáger and Enrique Zuazua |
| title_fullStr | Wave propagation, observation and control in 1-d flexible multi-structures René Dáger and Enrique Zuazua |
| title_full_unstemmed | Wave propagation, observation and control in 1-d flexible multi-structures René Dáger and Enrique Zuazua |
| title_short | Wave propagation, observation and control in 1-d flexible multi-structures |
| title_sort | wave propagation observation and control in 1 d flexible multi structures |
| topic | Differential equations, Partial Flexible structures Schrödinger equation Wave mechanics Wave-motion, Theory of Planarer Graph (DE-588)4174783-5 gnd Mehrkörpersystem (DE-588)4038390-8 gnd System von partiellen Differentialgleichungen (DE-588)4116672-3 gnd Schwingungssystem (DE-588)4180568-9 gnd |
| topic_facet | Differential equations, Partial Flexible structures Schrödinger equation Wave mechanics Wave-motion, Theory of Planarer Graph Mehrkörpersystem System von partiellen Differentialgleichungen Schwingungssystem |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2671123&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014921629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV006642035 |
| work_keys_str_mv | AT dagerrene wavepropagationobservationandcontrolin1dflexiblemultistructures AT zuazuaenrique wavepropagationobservationandcontrolin1dflexiblemultistructures |