Selected topics in nonlinear wave mechanics:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 263 S. Ill., graph. Darst. |
| ISBN: | 0817640592 3764340592 |
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MARC
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| 245 | 1 | 0 | |a Selected topics in nonlinear wave mechanics |c C. I. Christov ... eds. |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2002 | |
| 300 | |a XII, 263 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Nonlinear waves | |
| 650 | 4 | |a Wave mechanics | |
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| 700 | 1 | |a Christov, Christo I. |e Sonstige |4 oth | |
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Record in the Search Index
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CONTENTS
PREFACE
IX
1
ELASTIC
SURFACE
WAVES,
RESONANCES,
AND
INVERSE
ACOUSTIC
SCATTERING
A.
GURAN,
A.
NAGI,
AND
H.
UBERALL
1
1.1
INTRODUCTION
.
1
1.2
WAVES
ON
ELASTIC
PLATES:
LAMB-TYPE
AND
SCHOLTE-STONELEY
WAVES
3
1.3
ACOUSTIC
INTERACTIONS
WITH
OCEAN-FLOOR
SEDIMENTS
.
18
1.4
CONCLUSIONS
.
27
2
AMPLITUDE
EQUATION
MODELS
FOR
THE
INTERACTION
OF
SHOCKS
WITH
NONLINEAR
DISPERSIVE
WAVE
ENVELOPES
P.K.
NEWTON
AND
R.M.
AXEL
35
2.1
INTRODUCTION
.
35
2.2
THE
WEAK
COUPLING
LIMIT
.
39
2.3
THE
RIEMANN
PROBLEM
.
39
2.3.1
CASE
1:
Z
=
0
.
40
2.3.2
CASE
2:
Z
/
0
.
41
2.4
THE
ZERO
DIFFUSION
LIMIT
.
44
2.5
DYNAMICS
PRIOR
TO
SHOCK
ONSET
.
45
2.5.1
THE
GENERAL
PROCEDURE:
VARIATION
OF
PARAMETERS
.
46
2.5.2
DERIVATION
OF
SOLUTIONS
.
47
2.6
THE
INCOMPRESSIBLE
LIMIT
.
49
2.7
EXACT
SOLUTIONS
.
50
2.8
THE
E
=
0
PROBLEM
.
52
2.9
THE
MULTI-SCALE
EXPANSIONS
.
53
2.9.1
EFFECTIVE
SHOCK
EQUATIONS
.
54
2.10
MODULATION
EQUATIONS
FOR
THE
DISPERSIVE
WAVE
.
55
2.10.1
0(1)
MODULATION
EQUATIONS
FOR
THE
NONLINEAR
LIMIT
.
.
55
2.10.2
0(1)
MODULATION
EQUATIONS
FOR
THE
LINEAR
LIMIT
.
56
2.10.3
GENERALIZED
FREQUENCY
OF
THE
DISPERSIVE
WAVE
.
56
2.10.4
EXPANSION
SUMMARY
.
57
2.11
ANALYSIS
OF
THE
EFFECTIVE
SHOCK
EQUATION
FOR
THE
NONLINEAR
LIMIT
.
58
2.12
ANALYSIS
OF
THE
EFFECTIVE
SHOCK
EQUATION
IN
THE
LINEAR
LIMIT
62
2.12.1
CASE:
A
2A
.
65
VI
CONTENTS
2.12.2
CASE:
A
2A
.
66
2.13
NUMERICAL
EXPERIMENTS
.
70
3
SOME
ASPECTS
OF
ONE-DIMENSIONAL
FINITE
AMPLITUDE
ELASTIC
WAVE
PROPAGATION
J.
B.
HADDOW
AND
R.J.
TAIT
75
3.1
FIRST
ORDER
EQUATIONS
.
75
3.2
SYSTEMS
OF
FIRST
ORDER
EQUATIONS
.
83
3.3
ELASTIC
STRINGS
.
87
3.4
PROBLEMS
FOR
MEMBRANES
.
96
3.5
SOME
PROBLEMS
FOR
THREE
DIMENSIONAL
ELASTIC
BODIES
.
108
3.6
THERMODYNAMIC
CONSIDERATIONS
.
112
4
NONLINEAR
DUALITY
BETWEEN
ELASTIC
WAVES
AND
QUASI-PARTICLES
G.A.
MAUGIN
AND
C.I.
CHRISTOV
117
4.1
INTRODUCTION
.
117
4.2
HYPERBOLICITY
AND
CONSERVATION
LAWS
.
119
4.3
ELASTICITY
AS
A
FIELD
THEORY
.
123
4.4
SOLITONIC
SYSTEMS
.
129
4.5
NEARLY
INTEGRABLE
SYSTEMS
.
137
4.6
EXAMPLES
FROM
CONTINUUM
MECHANICS
.
138
4.7
CONCLUSIONS
.
152
5
TIME-HARMONIC
WAVES
IN
PRE-STRESSED
DISSIPATIVE
MATERIALS
A.
M
OTTO
161
5.1
INTRODUCTION
.
161
5.1.1
CONTENTS
.
161
5.1.2
NOTATION
.
162
5.2
LINEARIZED
EQUATIONS
IN
SOLIDS
.
163
5.3
CONSTITUTIVE
EQUATION
FOR
SOLIDS
.
165
5.4
LINEARIZED
EQUATIONS
AND
RESTRICTIONS
FOR
FLUIDS
.
170
5.5
PROPAGATION
CONDITION
FOR
INHOMOGENEOUS
WAVES
.
173
5.6
DISSIPATION
AND
WAVE
DECAY
.
175
5.6.1
WAVES
IN
SOLIDS
.
176
5.6.2
WAVES
IN
FLUIDS
.
181
5.7 A
NEW
APPROACH
TO
WAVE
PROPAGATION
.
184
5.8
RAYS
IN
PRE-STRESSED
SOLIDS
.
191
5.8.1
RAYS
AND
EIKONAL
EQUATIONS
.
,
.
192
5.8.2
AMPLITUDE
EVOLUTION
.
196
CONTENTS
VII
6
DISSIPATIVE
EFFECTS
ON
THE
EVOLUTION
OF
INTERNAL
SOLITARY
WAVES
IN
A
SHEARED,
STABLY
STRATIFIED
FLUID
LAYER
W.
B.
ZIMMERMAN
AND
M.
G.
VELARDE
203
6.1
INTRODUCTION
.
204
6.2
MODEL
SYSTEM
.
206
6.2.1
EQUATIONS
AND
SCALING
.
206
6.2.2
WAVE
DISTURBANCES
OF
PERMANENT
FORM
.
207
6.2.3
PERTURBATION
EXPANSION
.
208
6.3
DISCUSSION
.
215
6.3.1
ENERGY
BALANCE
.
215
6.3.2
ANALYTIC
SOLUTION
FOR
COUETTE
FLOW
.
217
6.4
CONCLUSIONS
.
219
7
DISSIPATIVE
NONLINEAR
STRAIN
WAVES
IN
SOLIDS
A.
V.
PORUBOV
223
7.1
INTRODUCTION
.
223
7.2
MODELLING
OF
NONLINEAR
WAVES
IN
AN
ELASTIC
ROD
.
226
7.3
MATHEMATICAL
TOOLS
FOR
ANALYSIS
OF
THE
GOVERNING
EQUATIONS
.
.
229
7.4
AMPLIFICATION
OF
A
STRAIN
SOLITARY
WAVE
IN
A
NARROWING
ROD
.
.
232
7.5
SELECTION
OF
NONLINEAR
STRAIN
WAVES
IN
AN
ELASTIC
ROD
DUE
TO
THE
INFLUENCE
OF
AN
EXTERNAL
MEDIUM
.
235
7.5.1
BELL-SHAPED
SOLITARY
WAVE
EVOLUTION
.
236
7.5.2
KINK-SHAPED
WAVE
SELECTION
.
242
7.6
INFLUENCE
OF
MACRO
AND
MICRO-DISSIPATION
ON
THE
FORMATION
OF
DISSIPATIVE
SOLITARY
WAVES
.
247
7.7
CONCLUDING
REMARKS
.
255
INDEX
261 |
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| id | DE-604.BV013990145 |
| illustrated | Illustrated |
| indexdate | 2024-08-22T00:33:34Z |
| institution | BVB |
| isbn | 0817640592 3764340592 |
| language | English |
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| physical | XII, 263 S. Ill., graph. Darst. |
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| spelling | Selected topics in nonlinear wave mechanics C. I. Christov ... eds. Boston [u.a.] Birkhäuser 2002 XII, 263 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nonlinear waves Wave mechanics Relativistische Quantenmechanik (DE-588)4177687-2 gnd rswk-swf Nichtlineare Wellenausbreitung (DE-588)4140376-9 gnd rswk-swf Wellenmechanik (DE-588)4127857-4 gnd rswk-swf Relativistische Quantenmechanik (DE-588)4177687-2 s DE-604 Wellenmechanik (DE-588)4127857-4 s Nichtlineare Wellenausbreitung (DE-588)4140376-9 s Christov, Christo I. Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009575584&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Selected topics in nonlinear wave mechanics Nonlinear waves Wave mechanics Relativistische Quantenmechanik (DE-588)4177687-2 gnd Nichtlineare Wellenausbreitung (DE-588)4140376-9 gnd Wellenmechanik (DE-588)4127857-4 gnd |
| subject_GND | (DE-588)4177687-2 (DE-588)4140376-9 (DE-588)4127857-4 |
| title | Selected topics in nonlinear wave mechanics |
| title_auth | Selected topics in nonlinear wave mechanics |
| title_exact_search | Selected topics in nonlinear wave mechanics |
| title_full | Selected topics in nonlinear wave mechanics C. I. Christov ... eds. |
| title_fullStr | Selected topics in nonlinear wave mechanics C. I. Christov ... eds. |
| title_full_unstemmed | Selected topics in nonlinear wave mechanics C. I. Christov ... eds. |
| title_short | Selected topics in nonlinear wave mechanics |
| title_sort | selected topics in nonlinear wave mechanics |
| topic | Nonlinear waves Wave mechanics Relativistische Quantenmechanik (DE-588)4177687-2 gnd Nichtlineare Wellenausbreitung (DE-588)4140376-9 gnd Wellenmechanik (DE-588)4127857-4 gnd |
| topic_facet | Nonlinear waves Wave mechanics Relativistische Quantenmechanik Nichtlineare Wellenausbreitung Wellenmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009575584&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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