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Showing 1 to 14 of 14 for “"Symmetric Solutions"”.
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Positive Symmetric Solutions Of A Boundary Value Problem With Dirichlet Boundary Conditions
… conditions. We show the existence of positive symmetric solutions of this boundary value problem. </p>
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A Numerical Method for Computing Radially Symmetric Solutions of a Dissipative Nonlinear Modified Klein-Gordon Equation
… finite-difference scheme to approximate radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation in an open sphere around the origin, with constant internal and external damping coefficients and nonlinear term of the form G' (w) = w ^p, with p an odd number greater …
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Studies on two topics in theoretical physics: Entanglement entropy and holographic superconductors
… constant. We study the static, spherically symmetric solutions of this model numerically. These are hairy black holes.The nonzero hair corresponds to the nonzero expectation value of some composite operator in the dual _eld theory. We _nd the second order phase transition at certain critical …
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Multiple steady solutions and bifurcations in the symmetric driven cavity
<p>The symmetric driven cavity with sinusoidal forcing for two- and three-dimensions is considered. Results are obtained via numerical computations of the Navier Stokes equations with constant density. The numerical integration is a splitting method, using the Crank-Nicholson method for linear …
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Rotating Nonlinear States in Gross-Pitaevskii Equations
… include two main directions: (1) Approximate solutions known as semiclassical wave packets to weakly nonlinear Schr\"odinger equations with rotation. (2) Existence and dynamical properties of rotating bound state solutions in both mass-subcritical and mass-supercritical regimes. The …
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Existence and stability of stellardynamic models
We examine existence and stability of stationary solutions to the Vlasov-Poisson system. This system is used in stellardynmaics to describe the evolution of galaxies where collissions are neglected and the evolution is determined by the self-consistent gravitational field which is created by the …
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Numerical Analysis and Applications of the Process of Nonlinear Supratransmission in Mechanical Systems of Coupled Oscillators with Damping
… finite-difference scheme to approximate radially symmetric solutions and (1 + 1)-dimensional solutions of the initial-value problem with smooth initial conditions Ý2w Ýt2. Þ2w. ƒÀ Ý Ýt..Þ2w + ƒÁ Ýw Ýt + m2w + GŒ(w) = 0, subject to : ( w(Px, 0) = ƒÓ(Px), Px ¸ D, Ýw Ýt (Px, 0) = ƒÕ(Px), Px ¸ D, in …
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Charged scalar fields on Black Hole space-times
… so, we investigate the behaviour of spherically symmetric solutions of the Einstein-Maxwell-Klein-Gordon equations, which model the interaction of a charged scalar field with the electromagnetic field originating from the Black Hole charge. The particularity of this model is to putatively admit …
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Heterotic Braneworld Gravity
… that it is not possible to obtain spherically symmetric solutions, so we solve the coupled brane and bulk Einstein equations for an axisymmetric metric. We obtain a solution which asymptotes the LOSW vacuum and resembles the black string. The solution looks like the Schwarzshild solution at a …
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Aspects of holography in Lorentz-violating gravity
… limit, it possesses static and spherically symmetric solutions with 'universal horizons'---spacelike hypersurfaces that are causal boundaries between an interior region and asymptotic spatial infinity. In other words, this theory admits black hole solutions but with very different causal …
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Spherically-symmetric inhomogeneities in general relativity and their effects in cosmology
Spherically-symmetric solutions are relevant in many areas of cosmology, from perturbations in the early Universe to growth of large scale structures in the later eras. In this thesis, we first focus on a comparison between the tetrad-based method and the widely used Lemaitre-Tolman-Bondi (LTB) …
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Partial compilation of constraint problems
… is partial compilation whereby a subset of the solutions to the initial constraints are compiled, e.g. those that are considered most important or most likely to be useful. There are many use-cases where some solution loss is acceptable. For example, one might wish to compile a large subset of …
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Tight Discrete Formulations to Enhance Solvability with Applications to Production, Telecommunications, and Air Transportation Problems
… well it approximates the convex hull of feasible solutions). In designing model formulations, it is critical to ensure a proper balance between compactness of the representation and the tightness of its linear relaxation, in order to enhance its solvability. In this dissertation, we consider these …
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Enhanced Formulations for Minimax and Discrete Optimization Problems with Applications to Scheduling and Routing
… on machines are modeled via a lifted asymmetric traveling salesman problem (ATSP) construct, and specific sets of valid inequalities and RLT-based enhancements are incorporated to further tighten the resulting mathematical program. The efficacy of our enhanced models is demonstrated by …