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Showing 1 to 20 of 54 for “"variational principle"”.
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Cosmological perturbation theory and the variational principle in gravitation
… reviewed over the period 1960-1993. Secondly the variational principle, apropos of gravitation, is formulated and discussed. These two fields are then synthesised via a variational formulation of general relativity and cosmological perturbation theory. In the process new light is shed on Covariant …
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Existence of Solutions Via a New Variational Principle for Nonlocal Semilinear Elliptic Equations
… fails to hold. We shall make use of a new variational principle presented in \cite{Mo1} that allows one to deal with problems well beyond the compact structure.
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Infinitely Many Solutions to Asymmetric, Polyharmonic Dirichlet Problems
… argument itself. In chapter 2 we prove the variational principle of Bolle on the behavior of critical values under perturbation, and the variational principle of Tanaka on the existence of critical points of large augmented Morse index. In chapter 3 we use the framework created by Birman and …
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Variational Principles in Finite Elasticity With Applications
A variational principle of the complementary energy type is derived. Trial functions for the actual deformation gradient are used in the formulation of the principle. Corresponding principles for elastic bodies subject to kinematical constraints such as incompressibility are formulated. The same …
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Lagrangian structures and multidimensional consistency
… equation. On the basis of this we propose a new variational principle for integrable systems which brings in the geometry of the space of independent variables, and from this principle we can then derive any equation in the hierarchy. We also extend the notion of Lagrangian forms, and the …
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Relativistic and non-relativistic holography
… we deliberately tackle the boundary condition, variational principle and renormalization problems in non-relativistic holography. The systematic boundary condition formalism of Skenderis and Van Rees is extended to scalar field in Schrödinger space-time. In the same background, variational …
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Relativistic and Non-Relativistic Holography
… we deliberately tackle the boundary condition, variational principle and renormalization problems in non-relativistic holography. The systematic boundary condition formalism of Skenderis and Van Rees is extended to scalar field in Schr¨odinger space-time. In the same background, variational …
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Computational Studies in Chemical Quantum Physics
… spin representation which is derived via a variational principle. The vector model shows some differences in behavior as compared to the hopping model. In certain regimes the vector model shows chaotic behavior.
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Calculations of three-body scattering amplitudes
… threebody scattering amplitudes. The first is a variational principle based on the Faddeev equations. In form it resembles a Schwinger principle. The wave functions that are varied are products of the two-body potentials and the normal three-body wave function. This results in a very simple …
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Modelos mistos de elementos finitos para análise de grandes deformações
… is derived from a Reissner-type incremental variational principle based on an incremental potential energy principle. A total Lagrangian formulation is used to analyse axisymmetric solids, plane stress and plane strain problems. Two types of solution are available: a purely incremental …
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Elastic Lateral Torsional Buckling of Beams Strengthened with Cover Plates while under Loading
… beams. The second contribution formulates a variational principle for the LTB analysis of doubly symmetric beams strengthened symmetrically with identical steel cover plates. The formulation considers the full sequence of loading and strengthening and captures the effects of pre-strengthening …
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Variational Methods in Ice Sheet Modelling
… knowledge of both the fundamental physical principles that govern the stress and energy balances and a framework for assimilating data into a model to help estimate unknown parameters. Modelling ice is complex, due to the large spatial extent of ice sheets, the multiple scales at which …
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Variational Methods in Ice Sheet Modelling
… knowledge of both the fundamental physical principles that govern the stress and energy balances and a framework for assimilating data into a model to help estimate unknown parameters. Modelling ice is complex, due to the large spatial extent of ice sheets, the multiple scales at which …
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Thermodynamical Formalism
… Shannon-McMillan-Breiman theorem and the Variational Principle. Distance expanding maps and their connection with the calculation of topological pressure cover the third chapter. The fourth chapter introduces Gibbs states and the very important Perron-Frobenius Operator. The fifth chapter …
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Differential and Integral Invariance of the Relativistic Vlasov-Boltzmann Equation and the Associated Invariant Variational Problem
… scalar bosons and Dirac fermion fields. Lie's principle of differential invariance is extended to the case of non-linear integro-differential equations for both scalar and matrix distribution functions, corresponding to scalar and fermion kinetic equations respectively, and then is used to …
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Variationally consistent methods for Lagrangian dynamics in continuum mechanics
… of the equations of motion. Recently, Variational Integrators have been developed where the numerical time integration scheme is developed from a variational principle based on Hamilton's principle of stationary action. Such methods ensure conservation of linear and angular momentum, …
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Fermionic superfluids : from cold atoms to high density QCD : gapless (breached pair) superfluidity and kaon condensation
… contributions, and is derived rigorously from a variational principle. This framework allows us to analyze a wide range of fermionic systems. In this thesis, we shall consider two-species nonrelativistic atomic systems with various types of interactions, and relativistic QCD systems with 3 x 3 x …
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Legendrian intersections in twisted 1-jet bundles
… action functional in order to establish a variational principle for contact isotopies in the twisted sense, then carefully leveraging this to obtain special finite dimensional generating families, with explicitly calculable Morse index, for the associated Legendrians.</p>
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