Spelling suggestions: "subject:"boundary value problems"" "subject:"foundary value problems""
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Simulation of flow in a high temperature reactor chamber.Do, Huong Thi. January 1973 (has links)
No description available.
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Vibration of elastic bars /Roetman, Ernest Levane. January 1963 (has links)
Thesis (Ph. D.)--Oregon State University, 1963. / Typescript. Includes bibliographical references (leaves 55-56). Also available on the World Wide Web.
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Boundary regularity for free boundary problems /Gurevich, Alex. January 1997 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 1997. / Includes bibliographical references. Also available on the Internet.
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The edge algebra structure of boundary value problemsSchulze, Bert-Wolfgang, Seiler, Jörg January 2001 (has links)
Boundary value problems for pseudodifferential operators (with or without the transmission property) are characterised as a substructure of the edge pseudodifferential calculus with constant discrete asymptotics. The boundary in this case is the edge and the inner normal the model cone of local wedges. Elliptic boundary value problems for non-integer powers of the Laplace symbol belong to the examples as well as problems for the identity in the interior with a prescribed number of trace and potential conditions. Transmission operators are characterised as smoothing Mellin and Green operators with meromorphic symbols.
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Boundary value problem for the rectangular wavemakerAverbeck, Patrick J. 17 May 1993 (has links)
The goal of this research is to develop an equation describing the
two, dimensional motion of an inviscid incompressible fluid in the
rectangular wavemaker of constant depth. The boundary value problem
of the rectangle is transformed to the upper half plane with the use
of Jacobian elliptical functions. The boundary value problem is
then transformed to the unit disc. The solution to the mixed value
problem of the disc is found using a general solution satisfying the
Laplace equation in polar coordinates.
In order to solve the coefficients of the general solution,
a system of equations is developed using a method similar to the one applied for the
coefficients of a Fourier series. The system is converted to matrix
form and the coefficients are calculated using Mathematica. Four
approximate solutions are calculated for depths of 3.96 m and 4.42 m
with N equal to 2 and 10. / Graduation date: 1993
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Closed-Loop Nominal and Abort Atmospheric Ascent Guidance for Rocket-Powered Launch VehiclesDukeman, Greg A. 18 January 2005 (has links)
An advanced ascent guidance algorithm for rocket-powered launch vehicles is developed. The ascent guidance function is responsible for commanding attitude, throttle and setting during the powered ascent phase of flight so that the vehicle attains target cutoff conditions in a near-optimal manner while satisfying path constraints such as maximum allowed bending moment and maximum allowed axial acceleration. This algorithm cyclically solves the calculus-of-variations two-point boundary-value problem starting at vertical rise completion through orbit insertion. This is different from traditional ascent guidance algorithms which operate in an open-loop mode until the high dynamic pressure portion of the trajectory is over, at which time there is a switch to a closed loop guidance mode that operates under the assumption of negligible aerodynamic forces.
The main contribution of this research is an algorithm of the predictor-corrector type wherein the state/costate system is propagated with known (navigated) initial state and guessed initial costate to predict the state/costate at engine cutoff. The initial costate guess is corrected, using a multi-dimensional Newtons method, based on errors in the terminal state constraints and the transversality conditions. Path constraints are enforced within the propagation process. A modified multiple shooting method is shown to be a very effective numerical technique for this application. Results for a single stage to orbit launch vehicle are given. In addition, the formulation for the free final time multi-arc trajectory optimization problem is given. Results for a two-stage launch vehicle burn-coast-burn ascent to orbit in a closed-loop guidance mode are shown. An abort to landing site formulation of the algorithm and numerical results are presented. A technique for numerically treating the transversality conditions is discussed that eliminates part of the analytical and coding burden associated with optimal control theory.
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On the Lattice Boltzmann method implementation and applications /Jin, Kang, Meir, Amnon J., January 2008 (has links) (PDF)
Thesis (Ph. D.)--Auburn University, 2008. / Abstract. Vita. Includes bibliographical references (p. 64-65).
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Regularity of free boundary in variational problemsTeixeira, Eduardo Vasconcelos Oliveira 28 August 2008 (has links)
Not available / text
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LAYER PHENOMENA IN REACTION DIFFUSION SYSTEMSSmock, Richard Courtney January 1981 (has links)
Under consideration are two-point boundary value problems for a system of second order differential equations which contains a small parameter multiplying the highest dereivatives. We prove the existence of solutions exhibiting left and right boundary layers by constructing upper and lower solutions of the system. The behavior of the solutions as the parameter tends to zero is also established. Of special interest is the existence of a compound boundary layer (i.e., one involving two scales) at the left endpoint of the interval.
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A class of self-adjoint boundary-value problems for systems of first order linear differential equationsSchlaepfer, Ferdinand Eduard 08 1900 (has links)
No description available.
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