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Showing 1 to 20 of 62 for “"Wave Equations"”.

  1. One-Dimensional Fractal Wave Equations

    Chan, Fun Choi2013

    We study one-dimensional wave equations defined by a class of fractal Laplacians. These Laplacians are defined by fractal measures generated by iterated function systems with overlaps, such as the well-known infinite Bernoulli convolution associated with golden ratio and the 3-fold convolution of …

    gsu Repository record

  2. Fourier Analysis of Wave Equations

    Uchida, Masahiko2013

    … to study the solution to an inhomogeneous wave equation on Euclidean spaces. I obtained the existence, uniqueness, and regularity for the solution. In the classical case, the datum involved is required to have up to C2 smoothness; my results treat the low regularity case and only require Hs …

    gsu Repository record

  3. Wave Equations on Curved Spacetimes

    Eperon, Felicity ClareUniversity of Cambridge2019

    … of them. These simplifications give rise to wave equations on curved spacetimes. We investigate the classical stability of supersymmetric, asymptotically flat microstate geometries with 5 non-compact dimensions. These geometries possess an evanescent ergo-surface, where there are stably …

    cambridge Repository record

  4. Periodic solutions of nonlinear wave equations

    Fokam, Jean-MarcelDepartment of Mathematics and Applied Mathematics1999

    … of periodic solutions for partial differential equations. The study of periodic solutions was introduced by H. Poincare in the memoire he presented on the three body problem. By looking at periodic and asymptotics solutions he discovered what today we call chaos, and showed that these special …

    cape-town Repository record

  5. Wave equations, particles and chronometric geometry.

    Orsted, Bent.Massachusetts Institute of Technology1976

    Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 1976

    mit Repository record

  6. Multi-Symplectic Integrators for Nonlinear Wave Equations

    Islas, Alvaro Lucas2019

    … for Hamiltonian ordinary differential equations have shown to be robust, efficient and accurate in long-term calculations. In this thesis, we show how symplectic integrators have a natural generalization to Hamiltonian PDEs by introducing the concept of multi-symplectic partial …

    odu Repository record

  7. Symmetries of Wave Equations of Statistical Optics

    Mitofsky, Andrea M.University of Illinois at Urbana-Champaign2015

    … to derive the symmetry group of various sets of wave equations, and Noether's theorem is applied to find conservation laws of the wave equations. Symmetries and conservation laws of the wave equations of scalar statistical optics and vector statistical optics are studied and compared to the …

    uiuc Repository record

  8. Stochastic Wave Equations With Cubic Nonlinearities in Two Dimensions

    Hazaimeh, Haziem Mohammad2012

    … and quantative behavior of stochastic Wave equations with cubic nonlinearities in two dimensions. I evaluated the stochastic nonlinear wave equation in terms of its Fourier coecients. I proved that the strong solution of that equation exists and is unique on an appropriate Hilbert …

    siu-theses Repository record

  9. A Numerical Method for Extended Boussinesq Shallow-Water Wave Equations

    Walkley, Mark AndrewUniversity of Leeds1999

    The accurate numerical simulation of wave disturbance within harbours requires consideration of both nonlinear and dispersive wave processes in order to capture such physical effects as wave refraction and diffraction, and nonlinear wave interactions such as the generation of harmonic waves. The …

    whiterose Repository record

  10. BESOV WE11-POSEDNESS FOR HIGH DIMENSIONAL NON-LINEAR WAVE EQUATIONS

    Sterbenz, Jacob2003

    … [13] and [11], we solve the division problem for wave equations with generic quadratic non-linearities in high dimensions. Specifically, we show that non-linear wave equations which can be written as systems involving equations of the form Φ = Φ∇Φ and Φ = |∇Φ|^2 are well-posed with scattering in …

    maryland Repository record

  11. Decay for quasilinear wave equations on cosmological black hole backgrounds

    Mavrogiannis, GeorgiosUniversity of Cambridge2022

    … decay and stability of linear and quasilinear wave equations of Schwarzschild--de~Sitter $(M,\Lambda)$ and Kerr de Sitter $(a,M,\Lambda)$ black hole backgrounds, where $a,M,\Lambda$ are respectively the rotation parameter of the black hole, the mass of the black hole and the cosmological …

    cambridge Repository record

  12. Bifurcations and Spectral Stability of Solitary Waves in Nonlinear Wave Equations

    Yamazoe, ShotaroKyoto University2020

    kyoto Repository record

  13. Small Dispersion Limits for Integrable Nonlinear Wave Equations with Periodic Initial Conditions

    Deng, GuoState University of New York at Buffalo2019

    Ph.D.

    buffalo Repository record

  14. Scattering and stability properties of nonlinear wave equations on asymptotically flat spacetimes

    Kadar, IstvanUniversity of Cambridge2024

    … behaviour of hyperbolic partial differential equations (PDEs) in asymptotically flat spacetimes. Each project focuses on the behaviour of solutions nearby special ones and are therefore part of a perturbative understanding of these PDEs. Furthermore, all projects are connected by the search …

    cambridge Repository record

  15. Discrete representations of n-dimensional wave equations and their applications to quantum mechanics

    HrgovcÌ iÄ , Hrvoje J. (Hrvoje Josip)Massachusetts Institute of Technology1992

    Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 1992.

    mit Repository record

  16. LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS

    TERRACINA, SHULAMITUniversità degli Studi di Milano2025

    … both in presence of a large amplitude traveling wave external force with large velocity speed $\lambda \omega$, where $\lambda \gg 1$ is a large parameter. For both equations we prove the existence of large amplitude traveling quasi-periodic solutions. In particular, for the MHD system we …

    milano Repository record

  17. Numerical Solution of the One-dimensional and Cylindrical Serre Equations for Rapidly Varying Free Surface Flows

    Zoppou, Christopher2014

    … manifest as a series of oscillating waves, called dispersive waves, which follow abrupt changes in the water surface. These dispersive waves can have a significant influence on the water depth which impacts on the area inundated by these flows. A system of equations that are capable …

    aus-cath Repository record

  18. Numerical Solution of the One-dimensional and Cylindrical Serre Equations for Rapidly Varying Free Surface Flows

    Zoppou, Christopher2014

    … manifest as a series of oscillating waves, called dispersive waves, which follow abrupt changes in the water surface. These dispersive waves can have a significant influence on the water depth which impacts on the area inundated by these flows. A system of equations that are capable …

    anu Repository record

  19. Theory of multidimensional Laplace transforms and boundary value problems

    Babakhani, Ali1989

    … characterized by linear partial differential equations involving heat and wave equations are explicitly solved by using the obtained results to illustrate the applications.</p>

    iastate Repository record

  20. Observation and control of PDE with disturbances

    SCODINA, STEFANOUniversità degli Studi di Cagliari2012

    … of this work is to consider partial differential equations (PDE) under the effect of external unknown disturbances. We consider generalized forms of two popular parabolic and hyperbolic infinite dimensional dynamics, the heat and wave equations. Sliding-mode control is used to achieve the control …

    cagliari Repository record

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