Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"Nonlinear wave equations"”.
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Periodic solutions of nonlinear wave equations
… 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 …
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Multi-Symplectic Integrators for Nonlinear Wave Equations
… 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 …
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Scattering and stability properties of nonlinear wave equations on asymptotically flat spacetimes
… is the amalgamation of projects focused on the nonlinear 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. …
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Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field
It is known that there are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we …
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Fourier Analysis of Wave Equations
… 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 …
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Nonlinear Waves on Extremal Black Hole Spacetimes
… study of the global behaviour of solutions of nonlinear wave equations where the nonlinearity satisfies the null condition on extremal Reissner-Nordstrom black hole spacetimes.Under the assumption of spherical symmetry I show that solutions which arise from sufficiently small compactly …