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 “"Semigroup Theory"”.
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Exponential Stability for a Diffusion Equation in Polymer Kinetic Theory
… models for polymer flow. Using the methods of semigroup theory, we show that the semigroup U(t) associated with the diffusion equation is well defined and that all solutions converge exponentially to an equilibrium solution. Both finitely and infinitely extensible dumbbell models are …
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Operator Semigroups: Definitions, Properties and Applications
… To conduct this investigation, we study the theory of one-parameter semigroups. The theory is developed from the simplest scalar case and finite dimensional case to semigroups of linear operators on Banach spaces which started in the first half of the last century. This thesis is designed to …
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Approximation of integro-partial differential equations of hyperbolic type
… in the de1ay variable. Techniques from linear semigroup theory are used to discuss the well-posedness of the state space model and the convergence properties of the approximation scheme. We give numerical results for a sample problem to illustrate some properties of the approximation scheme.
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Exponential Decay for the Saint-Venant Principle
… and a C('3)-smooth boundary. By applying semigroup theory and spectral theory, we show that in our formulation Saint-Venant's principle is true for a class of stored energy functions of the type W = 1/2u('2) + Q(u(,,1),u(,,2)), where u is the displacement along the t-axis. By using the …
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On an Order-Parameter Model of Solid-Solid Phase Transitions
… 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 concerning the temperature dependent model.
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Compensator design for a system of two connected beams
… design finite - dimensional compensators. Linear semigroup theory is used to establish that the systems are well posed and to prove the convergence of generic approximation schemes. Approximate solutions of the optimal regulator and optimal observer are constructed via Galerkin - type …
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Approximation of the LQR control problem for systems governed by partial functional differential equations
… systems. Examples to which the theory applies include both second- and fourth-order equations with a variety of boundary conditions. The theory presented here allows for singular kernels as well as flexibility in the choice of state space. We discuss an approximation scheme using …
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A semigroup/Laplace transform approach to approximating flows
… known that all flows in a state space O induce a semigroup of linear operators on an appropriately chosen vector space of functions (observables) from O into a vector space Z (observations). After choosing appropriate continuity assumptions on the flow, the associated semigroup will be strongly …
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Analysis and Approximation of Viscoelastic and Thermoelastic Joint-Beam Systems
Rigidizable/Inflatable space structures have been the focus of renewed interest in recent years due to efficient packaging for transport. In this work, we examine new mathematical systems used to model small-scale joint dynamics for inflatable space truss structures. We investigate the regularity …