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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 20 of 52 for “"Initial value problem."”.
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The Initial Value Problem of Classical Elasticity
Made available in DSpace on 2014-12-10T17:25:35Z (GMT). No. of bitstreams: 1 6607725.pdf: 2059540 bytes, checksum: 7c167c136aeef34e82805c603990fce6 (MD5) Previous issue date: 1966
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Barotropic instability of an initial value problem
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric and Planetary Sciences, 1985.
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The Initial Value Problem for the Zakharov System
… Ponce and Vega. The equivalent fixed point problem is solved via the contraction principle in the $X\sb{s,b}$ spaces introduced by Bourgain. A detailed analysis of the nonlinear terms, exploiting the arithmetical properties of the $X\sb{s,b}$ denominators combined with the Strichartz …
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Causality and the initial value problem in Modified Gravity
… cannot be realised as the evolution of sensible initial data. The second part investigates the local well-posedness of the initial value problem for Lovelock and Horndeski theories. For the initial value problem to be well-posed it is necessary that the equations of motion be strongly hyperbolic. …
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Generalised Function Solutions to the Initial Value Problem for Liouville's Equation
Made available in DSpace on 2015-05-12T17:09:34Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 6000207.PDF: 1574354 bytes, checksum: 2538525b192f198ed763eafee0f37baf (MD5) Previous issue date: 1959
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On the initial value problem in general relativity and wave propagation in black-hole spacetimes
… of global uniqueness of solutions to the initial value problem in general relativity. In 1969, Choquet-Bruhat and Geroch proved, that in the class of globally hyperbolic Cauchy developments, there is a unique maximal Cauchy development. The original proof, however, has the peculiar feature …
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Hydrodynamic linear stability of the two-dimensional bluff-body wake through modal analysis and initial-value problem formulation
… thesis the stability analysis is studied as an initial-value problem to observe the transient behaviour and the asymptotic state of perturbations initially imposed. The initial-value problem allows the formulation to be extended to the near-parallel flow configuration. The initial-value method …
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Homotopy Analysis Method For Nonlinear Ordinary Eigenvalue Problems
… deformation equations, we solve a nonlinear initial value problem and a nonlinear eigenvalue problem. We adjust the convergence region of a solution by modifying auxiliary parameter values. The results converge in very few iterations under the proper choice of the values of auxiliary …
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Studies on quadratic matrix equations and riccati differential equations associated with regular m-matrices
… of this kind arise in noisy Wiener-Hopf problems for Markov chains. The solution of practical interest is a special M-matrix solution. The existence and uniqueness of M-matrix solutions and some numerical methods for nding the required M-matrix solution are studied by transforming the …
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Dynamics and Asymptotic Behavior of the Solutions of a Nonlinear Differential Equation
Initial value problems of the form dx/dt= t xP, x(a) = β are examined, first when p = 2. Applying Euler's method, a numerical approximation technique, when p = 2 for certain initial conditions produces a numerical solution which resembles a bifurcation diagram very similar to that produced by the …
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Συνεχείς επεκτάσεις μεθόδων Runge-Kutta για προβλήματα αρχικών τιμών
… of Runge-Kutta algorithms when solving initial value problems. We consider two ways (I) scaling (II) interpolation. The same extension was done for Runge-Kutta-Nystrom methods for initial value problem of second class.
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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 …
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Axial symmetry and transverse trace-free tensors in numerical relativity
… (TT) tensors play an important role in the initial conditions of numerical relativity, containing two of the component freedoms. Expressing a TT tensor entirely, by the choice of two scalar potentials, is not a trivial task however. Assuming the added condition of axial symmetry, expressions …
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O método de Riemann na programação de ondas planas em meios elásticos inomogêneos
… method is suggested and applied to the initial value problem. Upon numerical solution of the resulting integral equations, the Riemann function for smooth and sectionally-smooth media is constructed, several examples of materials and wave shapes being shown. The possible inclusion of …
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Numerical Solutions of Nonlinear Free-Surface Wave Problems (Numerical Analysis, Filtering, Artificial Viscosity)
… potential flows for nonlinear free-surface wave problems with a fixed, small computational domain. The free-surface wave problem is solved as an initial value problem. The method of solving the free-surface wave problem couples the solution of the free-surface partial differential equations with …
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Existence Results for Plasma Physics Models Containing a Fully Coupled Magnetic Field
The present thesis concern is the initial value problem for three nonlinear systems of partial differential equations: the Vlasov-Darwin system, the Vlasov-Poisswell system and a version of the latter which is called the modified Vlasov-Poisswell system. These equations belong to kinetic theory, …
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Boundary data smoothness for solutions of nonlocal boundary value problems for nth order differential equations.
… involves application of Peano's Theorem for initial value problems.
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On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls
… The formulas are verified for the boundary value problem, the initial value problem, and the initial boundary value problem. Second, we show the existence of near-optimal controls for a system driven by wideband noise in the presence of regime-switching. Using a relaxed control formulation, …
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Well-posedness and scattering of the Chern-Simons-Schrödinger system
… concerns the large-data well-posedness of the initial-value problem for the Chern-Simons-Schrödinger system. We impose the Coulomb gauge to remove the gauge-invariance, in order to obtain a well-defined initial-value problem. We prove that, in the Coulomb gauge, the Chern-Simons-Schrödinger …
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A viscoelastic constitutive model for thixotropic yield stress fluids: asymptotic and numerical studies of extension
… analysis and numerical simulations. An initial value problem with a prescribed elongational stress is solved in the limit of large relaxation time. This gives rise to multiple time scales. If the initial stress is less than a critical value, the initial elastic elongation is followed by …
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