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Showing 1 to 20 of 72 for “"Free boundary"”.
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Regularity of solutions and the free boundary for a class of Bernoulli-type parabolic free boundary problems with variable coefficients
… this work the regularity of solutions and of the free boundary for a type of parabolic free boundary problem with variable coefficients is proved. After introducing the problem and its history in the introduction, we proceed in Chapter 2 to prove the optimal Lipschitz regularity of viscosity …
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Regularity of Neumann solutions to an elliptic free boundary problem
… properties of solutions to an elliptic free boundary problem, near a Neumann fixed boundary. Consider a nonnegative function u which minimizes the functional ... on a bounded, convex domain ... This function u is harmonic in its positive phase and satisfies ... along the free boundary …
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Mixed variational problems associated with stationary viscous incompressible free boundary flows
… that is often used in the study of capillary free boundary (FB) problems for viscous incompressible flows is the following: (1) Ignore one of the boundary conditions at the FB and prove that for every chosen position of the FB the resultant problem, here called the auxiliary problem (AP), is …
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A free boundary problem inspired by a conjecture of De Giorgi
We study global monotone solutions of the free boundary problem that arises from minimizing the energy functional I(u) = f lVul2 + V(U), where V(u) is the characteristic function of the interval (-1, 1). This functional is a close relative of the scalar Ginzburg-Landau functional J(u) = f lVul2 + …
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Existence and regularity of monotone solutions to a free boundary problem
… first example of a singular energy minimizing free boundary. This singular solution occurs in dimension 7 and higher, and in fact it is conjectured that there are no singular minimizers in dimension lower than 7. Our example is the analogue of the 8-dimensional Simons cone in the theory of …
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Neumann Solutions to a Two-Phase Elliptic Free Boundary Problem in R^2
… admissible functions to satisfy Dirichlet boundary conditions on a portion of the fixed boundary with positive one-dimensional Hausdorff measure and Neumann boundary conditions on the rest of the fixed boundary. In this thesis we consider the behavior of minimizers in a neighborhood of some …
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On some Two-Dimensional Singular Stochastic Control Problems and their Free-Boundary Analysis
… in particular to characterize the corresponding free-boundaries. We investigate three different settings, in which the two-dimensional nature is driven by various aspects. In Section 2, we propose and solve a dividend problem with capital injections in a finite time horizon setting. The surplus …
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On some stochastic control models and related free-boundary problems in insurance mathematics
… primary challenges lies in characterizing the free boundaries when solving above problems.<br /><br /> Specifically, Chapter 2 proposes a dynamic framework for the joint determination of optimal consumption, portfolio choice and irreversible investment in healthcare, which extends the classical …
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Transverse Vibration of a Class of Plates With Clamped, Simply Supported or Free Boundary
Made available in DSpace on 2014-12-10T17:25:43Z (GMT). No. of bitstreams: 1 6808239.pdf: 3223664 bytes, checksum: 2025a86025a736cad12d603d1f60fd5f (MD5) Previous issue date: 1967
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Level-Set Ghost Fluid Methods for Free Boundary Problems in Incompressible Euler and Navier-Stokes Equations
Questo lavoro di tesi è dedicato allo studio di problemi a frontiera libera per le equazioni Eulero e Navier-Stokes nelle variabili primitive. L'obiettivo principale di questa tesi è quello di elaborare una metodologia che permetta di modellizzare diversi tipi di fluidi incomprimibili, con …
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Brownian particles interacting with a Newtonian Barrier: Skorohod maps and their use in solving a PDE with free boundary, strong approximation, and hydrodynamic limits.
… and uniqueness of the resulting PDE with free boundary condition. In 2001, Frank Knight constructed a stochastic process modeling the one dimensional interaction of two particles, one being Newtonian in the sense that it obeys Newton's laws of motion, and the other particle being Brownian. …
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Oscillations of a Fluid in a Channel
… with the motion of the fluid, so we deal with a free boundary problem. We consider small perturbations of a uniform flow with a flat free surface. We include the effect of the surface tension; the external forces are gravity, and the wind force which acts on the free boundary. The motion of the …
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Optimal Stopping Problems with A Random Time Horizon
… with the goal of formulating the corresponding free-boundary problems for the valuation of atypical American contingent claims involving non- stopping times, which restrict the optimal stopping rules to be made before the last exit times of the price of the underlying assets at its running …
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Adjoint Error Estimation for Elastohydrodynamic Lubrication
… to them. The first step is built up from a model free boundary problem, where the cavitation condition is captured correctly using a sliding mesh. The next problem tackled is a hydrodynamic problem, where non-linear viscosity and density are introduced. Finally, a full EHL line contact problem is …
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Experimental and Analytical Examination of Golf Club Dynamics
… element model, the characterization of the hands-free boundary condition and the examination of the club golf dynamic response. To accomplish these objectives, the physical parameters of the golf club are determined to develop the finite element model. The analysis of natural frequencies and mode …
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Transferência de calor em sistemas bifásicos durante a fusão térmica
In this work a transient model of a free boundary value problem is analysed in arder to represent the temperature profile in liquid and solid phases during thermal fusion. The experimental results which were obtained in a special probe are compared with the results of the conductive unidirectional …
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Modeling hotspot dynamics in microwave heating
… analysis is used to reduce the system to a free boundary problem. This approximation accurately predicts the steady-state solutions for the temperature and electric fields in closed form. These solutions are valid for arbitrary values of the electric conductivity, and thus extend the …
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High Order Finite Element Solution of Elastohydrodynamic Lubrication Problems
… of the equations are discussed, along with boundary conditions. Two families of problems are considered: line and point contacts. Following a review of existing numerical methods for EHL problems, a different numerical technique, known as the Discontinuous Galerkin method is described. This …
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Variational Methods for Nonlinear Partial Differential Equations
… minimizer of functionals for the case of fixed boundary problems. This theorem assumes coercivity and lower semicontinuity conditions of the functional and the energy functional is defined over subsets of Sobolev spaces. After that, the technical concepts associated to this theorem are …
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