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.
Results
Showing 1 to 20 of 21 for “"Classical Solution"”.
-
A Non-Classical Solution To Vague Persistence
… that this claim is based on an assumption of classical logic and that by rejecting this assumption in favor of a non-classical logic the objection is rendered mute. By revising our understanding of the identity relation to function on a continuum scale we can understand persistence as a scalar …
-
Regularity of solutions and the free boundary for a class of Bernoulli-type parabolic free boundary problems with variable coefficients
<p>In 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 …
-
On an Order-Parameter Model of Solid-Solid Phase Transitions
… independent case, showing existence of a unique classical solution of a regularized system of partial differential equations using semigroup theory. This is followed by numerical study of a finite element algorithm for the temperature independent model. Finally, we present computational material …
-
Mechanism design with set-theoretic beliefs
… types of his opponents, and (2) a new and robust solution concept, based on mutual belief of rationality, capable of leveraging such conservative beliefs. We exemplify the applicability of our new approach for single-good auctions. In particular we show that, under our solution concept, there …
-
Application of the hodograph method to several problems in fluid mechanics
… and partially of free streamlines. As in classical theory, these solutions can be used to determine important physical characteristics of the problem such as the equations of free streamlines and the contraction coefficient provided it is possible to carry out the mathematical operations. …
-
Solution of conservation laws via convergence space completion
It is well known that a classical solution of the initial value problem for a scalar conservation law may fail to exist on the whole domain of definition of the problem. For this reason, suitable generalized solutions of such problems, known as weak solutions, have been considered and studied …
-
Artificial recharge for conjunctive use in irrigation : the San Joaquin Valley, California
One classical solution for dealing with surface water fluctuation is to construct a surface reservoir. However, because a surface reservoir requires too much land and has high negative impact on the environment, the use of a natural aquifer as a subsurface reservoir is proposed. In this solution, …
-
Blow-up in a degenerate parabolic equation with gradient nonlinearity
In this thesis we study positive classical solutions of the degenerate parabolic differential equation $u_t = u^p Delta u + u^q + kappa u^r|abla u|^2$ with zero Dirichlet boundary condition in smoothly bounded domains Omega. Here p>0, q>1, r>-1 and kappa are real parameters. The main aspect of this …
-
A study of some fundamental equations for the deformation of a variable thickness plate
… boundary conditions, this set will yield a solution to the problem which will be better than the classical solution. Two problems are solved and numerical results are obtained and compared with the classical solutions. One of the problems involves a rectangular plate clamped on one edge with …
-
Analysis of Plane Strain Deformations of Linearly Elastic Strain-Gradient Materials by the Finite Element Method
… strongly depends upon the specimen size. Classical theories are unable to explain this size dependence, whereas a strain gradient continuum theory has intrinsic length scales and may well describe mechanical deformations of small size bodies. In the current contribution, we develop a …
-
Framework for Concentrated Strain Deployable Trusses
… uses Euler Column Theory to derive closed form solutions to estimate truss performance. The results are compared to a classical solution and shown to give similar results. A range of strut and hinge hierarchy choices are considered. Trusses composed of solid rods with rectangular flexures are …
-
Analysis and Modeling of the Mechanical Durability of Proton Exchange Membranes Using Pressure-Loaded Blister Tests
… with a linear viscoelastic analog to Hencky's classical solution for a pressurized circular membrane to estimate biaxial burst strength values. Biaxial strength master curves are constructed using traditional time-temperature superposition principle techniques and the associated temperature …
-
Modeling and Control of Plate Mill Processes
… control and the slab temperature control. The classical solution for the thickness control problem can't handle asymmetric hardness variations and the estimation of the controlled output introduces stability problems. A nonlinear multivariable model for the thickness control system is derived. …
-
State feedback control with time delay
… of state feedback control and provide the classical solution in the form of Ackermann formula. We then identify the limitations of the classical approach and present the more elegant solution of partial pole assignment without spillover. We highlight the problem with model uncertainties and …
-
Angles-only navigation technique for maneuver-free spacecraft proximity operations
… those involving linear dynamical models. A classical solution to the problem is for the surveyor to perform precise maneuvers to change the nominal angle profile between the surveyor and the target. In the space environment, the orbital dynamics are inherently nonlinear and natural orbit …
-
Rigorous Results In Fluid And Kinetic Models
… In the first chapter, we prove time decay of solutions to the Muskat equation, which describes a fluid interface between two incompressible, immiscible fluids with different densities. In \cite{JEMS} and \cite{CCGRPS}, the authors introduce the norms $$ \|f\|_{s}\eqdef \int_{\mathbb{R}^{2}} …
-
New Classical Solutions in Supergravity
… Ph.D. thesis we construct three classes of new solutions to supergravity theories in various dimensions and study their properties. The first class is reduction ansatz of 10D and 11D supergravity on Ricci-flat and noncompact manifolds. These reductions are from a scaling limit of the famous …
-
COARSE CORRELATED EQUILIBRIA IN CONTINUOUS-TIME MEAN FIELD GAMES
… players is large enough. The usual notion of MFG solution can be regarded as the infinitely many players counterpart of the concept of Nash equilibrium in the underlying N-player game, and the connection between Nash equilibria and solutions to the MFG can be made rigorous via convergence …
-
Robust data-driven optimization for dynamic and decision-dependent systems under uncertainty
… distribution is not known in advance. Classical solution approaches, such as scenario tree approximations or stochastic dual dynamic programming (SDDP), typically require strong assumptions, such as stagewise independence or known distributions, that limit their applicability. To move …
Page 1 of 2