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 9 of 9 for “"Dirichlet boundary condition"”.
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A method for propulsion nozzle design
… is presented. A problem of mixed Neumann and Dirichlet boundary condition is solved. A successive line relaxation process is used to solve the array of velocity potentials in the entire flow field. The streamlines are then displaced to produce boundaries which match a desired pressure …
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Instabilities in asymptotically AdS spacetimes
… exponentially growing mode solution satisfying a Dirichlet boundary condition at infinity. The spacetime violates the Hawking-Reall bound $r_+^2>|a|\ell$. We obtain an analogous result for Neumann boundary conditions if $5/4<\alpha<9/4$. Moreover, in the Dirichlet case, one can prove that, for any …
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Intrinsic Ultracontractivity and Other Properties of Mixed Barrier Brownian Motions
… an asymptotic behavior of Brownian motions with Dirichlet boundary condition on an unbounded domain D above the graph of a bounded Lipschitz function. We discover that the large time behavior of the Dirichlet heat kernel pD = pD(t , x, y), for x, y ∈ D is limt→infinity td+22pD t,x,y=C1u …
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Study of Vortex Ring Dynamics in the Nonlinear Schrödinger Equation Utilizing GPU-Accelerated High-Order Compact Numerical Integrators
… which include a new semi-compact modulus-squared Dirichlet boundary condition. The schemes are combined with a fourth-order Runge-Kutta time-stepping scheme in order to keep the overall method fully explicit. To ensure efficient use of the schemes, a stability analysis is performed to find bounds …
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Geometric aspects of three dimensional N = 4 gauge theories
… on a hemisphere S1 ×H2 with an exceptional Dirichlet boundary condition and demonstrate that the resulting object is determined by the enumerative geometry of the Higgs branch. The partition function on the hemisphere is closely related to a half-index that counts local operators of the …
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Spectral problems on triangles and disks: Extremizers and ground states
… the thesis is concerned with the properties of Dirichlet eigenvalues for the magnetic Laplacian on the unit disk. We find an orthonormal basis of eigenfunctions for the magnetic Laplacian on a disk with Dirichlet boundary condition and explicitly identify the ground state of the magnetic …
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Acoustic diffraction from a semi-infinite elastic plate under arbitrary fluid loading with application to scattering from Arctic ice leads
… a plane wave incident upon a free surface (Dirichlet boundary condition) coupled to a perfectly rigid surface (Neumann boundary condition). Important features of the general edge diffraction problem are included here, with the solution serving as a guideline to the more complicated solutions …
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Spectral properties of the random conductance model
… of such a random walk, when it is killed at the boundary of a large box, is intimately linked to the first eigenvectors and eigenvalues of its generator with zero Dirichlet boundary condition. This follows directly from the spectral decomposition of the associated heat equation. In this thesis, …