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Evaluation of quasinormal modes in open systems =: 開放系統中準簡正模之計算. / 開放系統中準簡正模之計算 / Evaluation of quasinormal modes in open systems =: Kai fang xi tong zhong zhun jian zheng mo zhi ji suan. / Kai fang xi tong zhong zhun jian zheng mo zhi ji suanJanuary 1996 (has links)
by Tam Chi Yung. / Thesis (M.Phil.)Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 6667). / by Tam Chi Yung. / Contents  p.i / List of Figures  p.iii / Acknowledgement  p.iv / Abstract  p.v / Chapter Chapter 1.  Introduction  p.1 / Chapter 1.1  Open systems and quasinormal modes  p.1 / Chapter 1.2  Gravitational waves  p.3 / Chapter Chapter 2.  Green's Function Formalism  p.6 / Chapter 2.1  Introduction  p.6 / Chapter 2.2  Constructing the Green's function  p.7 / Chapter 2.3  The norm  p.9 / Chapter 2.4  Completeness  p.11 / Chapter Chapter 3.  Potentials With No Tail  p.13 / Chapter 3.1  Introduction  p.13 / Chapter 3.2  Completeness  p.14 / Chapter 3.2.1  Proof  p.14 / Chapter 3.2.2  Examples  p.16 / Chapter 3.3  The twocomponent approach  p.20 / Chapter 3.3.1  Formalism  p.21 / Chapter 3.3.2  Comparison of different expansion schemes  p.23 / Chapter 3.3.3  Linear Space  p.29 / Chapter 3.4  Perturbation theory  p.31 / Chapter 3.4.1  Formalism  p.31 / Chapter 3.4.2  Examples  p.33 / Chapter 3.5  Conclusion  p.35 / Chapter Chapter 4.  Potentials With Exponential Tails  p.36 / Chapter 4.1  Introduction  p.36 / Chapter 4.2  Single exponential tail  p.37 / Chapter 4.3  Asymptotics of QNM's  p.40 / Chapter 4.4  The Born series  p.43 / Chapter 4.5  PoschlTeller potential  p.44 / Chapter 4.5.1  Analytic solutions  p.44 / Chapter 4.5.2  The norm  p.46 / Chapter 4.6  The problem of cutoff  p.48 / Chapter 4.7  An effective numerical scheme  p.49 / Chapter 4.8  Conclusion  p.53 / Chapter Chapter 5.  Logarithmic Perturbation  p.54 / Chapter 5.1  Introduction  p.54 / Chapter 5.2  Formalism  p.54 / Chapter 5.3  Examples  p.57 / Chapter 5.4  Conclusion  p.59 / Chapter Chapter 6.  Conclusion  p.60 / Appendix A. Asymptotic behaviour of the Green's function  p.61 / Appendix B. Derivation of the equation (4.16)  p.63 / Appendix C. Different definitions of the norm  p.64 / Bibliography  p.66

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Existence of Continuous Solutions to a Semilinear Wave EquationPreskill, Ben 01 May 2009 (has links)
We prove two results; first, we show that a boundary value problem for the semilinear wave equation with smooth, asymptotically linear nonlinearity and sinusoidal smooth forcing along a characteristic cannot have a continuous solution. Thereafter, we show that if the sinusoidal forcing is not isolated to a characteristic of the wave equation, then the problem has a continuous solution.

13 
Resonant dynamics within the nonlinear KleinGordon equation : Much ado about oscillons /Honda, Ethan Philip, January 2000 (has links)
Thesis (Ph. D.)University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 126131). Available also in a digital version from Dissertation Abstracts.

14 
Relativistic nonlinear wave equations for charged scalar solitonsMathieu, Pierre. January 1981 (has links)
No description available.

15 
Methods for the numerical analysis of wave motion in unbounded media /Park, Sihwan, January 2000 (has links)
Thesis (Ph. D.)University of Texas at Austin, 2000. / Vita. Includes bibliographical references (leaves 140146). Available also in a digital version from Dissertation Abstracts.

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Relativistic nonlinear wave equations for charged scalar solitonsMathieu, Pierre. January 1981 (has links)
No description available.

17 
Dynamics of electromagnetic field in an indulating spherical cavity =: 振動球形空腔中的電磁場動力學. / 振動球形空腔中的電磁場動力學 / Dynamics of electromagnetic field in an undulating spherical cavity =: Zhen dong qiu xing kong qiang zhong de dian ci chang dong li xue. / Zhen dong qiu xing kong qiang zhong de dian ci chang dong li xueJanuary 1999 (has links)
by Chan Kam Wai Clifford. / Thesis (M.Phil.)Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 105108). / Text in English; abstracts in English and Chinese. / by Chan Kam Wai Clifford. / Abstract  p.i / Acknowledgements  p.iii / Contents  p.iv / List of Figures  p.vii / Chapter Chapter 1.  Introduction  p.1 / Chapter 1.1  Motivations of the Project  p.1 / Chapter 1.2  Historical Background  p.1 / Chapter 1.3  Objective and Outline of Thesis  p.3 / Chapter Chapter 2.  Reviews on Onedimensional Dynamical Cavity  p.4 / Chapter 2.1  Formalism  p.4 / Chapter 2.2  Methods of Solution  p.6 / Chapter 2.2.1  Phase Construction (R function)  p.6 / Chapter 2.2.2  Instantaneous Mode Expansion  p.12 / Chapter 2.2.3  Transformation Method  p.15 / Chapter 2.3  Numerical Results  p.15 / Chapter 2.3.1  Some Results using R function  p.16 / Chapter 2.3.2  Some Results using Instantaneous Mode Decomposition  p.24 / Chapter 2.3.3  Remarks on the Numerical Scheme used in Transformation Method  p.28 / Chapter 2.3.4  "Comparisons of Results obtained by Phase Construction, In stantaneous Mode Decomposition and Transformation"  p.28 / Chapter 2.4  Conclusion  p.30 / Chapter Chapter 3.  Fixedpoint Analysis for the Onedimensional Cavity  p.31 / Chapter 3.1  Introduction  p.31 / Chapter 3.2  What are the fixedpoints?  p.32 / Chapter 3.3  Characteristics of Fixedpoints  p.36 / Chapter 3.4  Fixedpoints and Geometric Resonance  p.39 / Chapter Chapter 4.  Electromagnetic Field in an Undulating Spherical Cavity  p.44 / Chapter 4.1  Classical Electromagnetic field theory  p.44 / Chapter 4.2  Boundary Conditions  p.46 / Chapter 4.3  The Motion of Cavity Surface  p.47 / Chapter Chapter 5.  Methods of Solution and Results to the Spherical Cavity  p.48 / Chapter 5.1  Introduction  p.48 / Chapter 5.2  Mode Decomposition and Transformation Method revisited  p.49 / Chapter 5.2.1  Mode Decomposition  p.49 / Chapter 5.2.2  Transformation Method  p.50 / Chapter 5.2.3  Remarks on the use of Instantaneous Mode Expansion and Transformation Method  p.51 / Chapter 5.3  The Ge(z) function  p.52 / Chapter 5.3.1  The Ge(z) function as a solution of the scalar wave equation  p.52 / Chapter 5.3.2  Numerical Results  p.54 / Chapter 5.4  The Me(z) function  p.60 / Chapter 5.4.1  Formalism  p.60 / Chapter 5.4.2  Comparison of Me(z) with Ge(z)  p.62 / Chapter 5.4.3  Numerical Results  p.63 / Chapter 5.5  Conclusions and Discussions  p.93 / Chapter 5.5.1  Geometric Resonances  p.93 / Chapter 5.5.2  Harmonic Resonances  p.94 / Chapter Chapter 6.  Conclusion  p.95 / Appendix A. Electromagnetic Field in Spherical Cavity  p.97 / Chapter A.1  Field Strength  p.97 / Chapter A.2  Field Energy  p.98 / "Appendix B. Construction of Ψe(r,t) by G(z)"  p.100 / Appendix C. The Arbitrary Part GH(z) of Ψe(r，t)  p.103 / Bibliography  p.105

18 
Fractal solutions to the long wave equationsAjiwibowo, Harman 13 September 2002 (has links)
The fractal dimension of measured ocean wave profiles is found to be in the
range of 1.51.8. This noninteger dimension indicates the fractal nature of the
waves. Standard formulations to analyze waves are based on a differential
approach. Since fractals are nondifferentiable, this formulation fails for waves with
fractal characteristics. Integral solutions for long waves that are valid for a nondifferentiable
fractal surfaces are developed. Field observations show a positive
correlation between the fractal dimension and the degree of nonlinearity of the
waves, wave steepness, and breaking waves. Solutions are developed for a variety
of linear cases. As waves propagate shoreward and become more nonlinear, the
fractal dimension increases. The linear solutions are unable to reproduce the change
in fractal dimension evident in the ocean data. However, the linear solutions do
demonstrate a finite speed of propagation.
The correlation of the fractal dimension with the nonlinearity of the waves
suggests using a nonlinear wave equation. We first confirm the nonlinear behavior
of the waves using the finite difference method with continuous function as the
initial condition. Next, we solve the system using a RungeKutta method to
integrate the characteristics of the nonlinear wave equation. For small times, the
finite difference and RungeKutta solutions are similar. At longer times, however,
the RungeKutta solution shows the leading edge of the wave extending beyond the
base of the wave corresponding to oversteepening and breaking.
A simple long wave solution on multistep bottom is developed in order to
calculate the reflection coefficient for a sloping beach. Multiple reflections and
transmissions are allowed at each step, and the resulting reflection coefficient is
calculated. The reflection coefficient is also calculated for model with thousands of
small steps where the waves are reflected and transmitted once over each step. The
effect of depthlimited breaking waves is also considered. / Graduation date: 2003

19 
Lorentz wave maps /Woods, Tadg Howard, January 2001 (has links)
Thesis (Ph. D.)University of Oregon, 2001. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 122123). Also available for download via the World Wide Web; free to University of Oregon users.

20 
Modeling of wave phenomena in heterogeneous elastic solidsRomkes, Albert. January 2003 (has links)
Thesis (Ph. D.)University of Texas at Austin, 2003. / Vita. Includes bibliographical references. Available also from UMI Company.

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