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 5 of 5 for “"homogeneous Neumann boundary conditions"”.
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Asymptotic behavior of the solutions to a family of PDE's arising from the chemotaxis equations of Keller and Segal
… the system is considered on [0,1] x [0,T] with homogeneous Neumann boundary conditions. The operators which lead to global solutions and those that lead to solutions which blow up in finite time are considered as a function of rho, using an application of the methods of Hillen and Potapov [Math. …
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Mathematical and Numerical Analysis of a Pair of Coupled Cahn-Hilliard Equations with a Logarithmic Potential
… equations with a logarithmic potential and with homogeneous Neumann boundary conditions. This pair of coupled equations arises in a phase separation model of thin film of binary liquid mixture. Global existence and uniqueness of a weak solution to the problem is proved using Faedo-Galerkin …
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Modeling flow encountering abrupt topography using hybridizable discontinuous Galerkin projection methods
… solution to the pressure Poisson equation with homogeneous Neumann boundary conditions everywhere along the boundary. Extensive numerical results using physically realistic ocean flows are presented to verify the HDG projection methods, including the formation of internal wave beams over a …
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A parallel second order Cartesian method for elliptic interface problems and its application to tumor growth model
… allowing to express the interface transmission conditions. The method is described and the details of its parallelization, performed with the PETSc library, are provided. Numerical validations of the method follow with comparisons to other related methods in literature. A numerical study of the …
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Dewetting of thin solid films
… degenerate mobility and a polynomial homogeneous free energy. We propose an anisotropic free boundary condition at the film/substrate contact line which correspond to the natural boundary condition from the variational derivation. We show via matched asymptotic analysis that the …