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Showing 1 to 20 of 77 for “"Evolution equations"”.
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Generalized long-wave evolution equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Following manifolds in equivariant evolution equations
This thesis provides a first step into the utilisation of infinitedimensional symmetry in the freezing method. We cover the theoretical foundation and introduce the freezing system based on equivariance with respect to the diffeomorphism group. Furthermore, phase conditions are created that …
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The evolution equations for Dirac-harmonic Maps
… the existence question is studied using the evolution equations for a regularized version of Dirac-harmonic maps. Since the energy functional for Dirac-harmonic maps is unbounded from below the method of the gradient flow cannot be applied directly. Thus, we first of all consider a …
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Fine properties of stochastic evolution equations and their applications
… class of SPDE, which include all stochastic evolution equations with monotone coefficients. In the second part, some properties of invariant measures and transition semigroups are investigated for SPDE with additive noise. The main tool is the dimension-free Harnack inequality, which is …
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Singularly nonautonomous semilinear evolution equations with almost sectorial operators
… equation generates a singularly nonautonomous evolution equation with almost sectorial operator and local well-posedness, existence of strong solution and existence of pullback attractor are studied, in the lights of the abstract theory developed. In particular, in order to obtain existence of …
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Geometric structures on the target space of Hamiltonian evolution equations
… integrable Hamiltonian partial differential equations and geometric structures on the manifold in which the dependent variables take their values. Chapters 1 and 2 are introductory chapters, and as such contain no original material. Chapter 1 covers some basic material from the theory of …
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Some Aspects of Abstract Linear Evolution Equations in Hilbert Space
Made available in DSpace on 2014-12-09T22:17:38Z (GMT). No. of bitstreams: 1 6801727.pdf: 3737944 bytes, checksum: 68a2566d0dddacc968d03c7a1da36ca8 (MD5) Previous issue date: 1967
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Boundary value problems for semilinear evolution equations of compact type
Bibliography: p. 153-160.
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First-order geometric evolutions and semilinear evolution equations : a common mutational approach
… of "solution" for completely different types of evolutions. Such a common approach is to lay the foundations for solving systems whose components have their origins in diverse applications. The analytical touchstone of the general character consists of (1.) a semilinear evolution equation in a …
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Spatially coherent solutions of damped-driven nonlinear evolution equations and reaction-diffusion system
Bibliography: leaves 128-134.
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Evolution Equations for Weakly Nonlinear, Quasi-Planar Waves in Isotropic Dielectrics and Elastomers
… cannot give an accurate description of the wave evolution. To determine the general evolution equation in such systems, a multi-timing technique developed by Kluwick and Cox (1998) and Cramer and Webb (1998) will be employed. The resultant evolution equations are seen to involve only one new …
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Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales
… data Sobolev solutions to semi-linear damped σ-evolution equations from suitable function spaces basing on L^q spaces by mixing additional L^m regularity for the data on the basis of L^q-L^q estimates for solutions, with q∈(1,∞) and m∈[1,q), to the corresponding linear models. To establish …
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Some Stationary and Evolution Problems Governed by Various Notions of Monotone Operators
… value problems (IBVPs) for partial differential equations (PDEs), with the possibility in the end to examine new problems and provide some solutions. Variational approach will be used to reformulate these problems into stationary equations (in the case of BVPs) and evolution equations (in the …
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Virtual Compton Scattering Processes in Quantum Chromodynamics
… form factor. Then we discuss in detail evolution equations for non-forward parton distributions [special characters omitted] The latter are constructed from simple models for double distributions [special characters omitted] with correct spectral and symmetry properties. They also …
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Analyses and Applications of the Peaceman--Rachford and Douglas--Rachford Splitting Schemes
… are widely used as temporal discretizations of evolution equations. Such methods usually constitute competitive choices whenever a vector field can be split into a sum of two or more parts that each generates a flow easier to compute or approximate than the flow of the sum. In the research …
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The Jet/CGC correspondence: a conformal perspective
… applications of QCD which are encapsulated by evolution equations for associated observables. Superficially, the interjet energy flow multiplicity and the cross section of Deep Inelastic Scattering (DIS) at small-xbj describe, as observables, entirely different phenomena. Jet evolution …
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Stochastic congruence equations for spacetime fluctuations
… thermodynamics. This is done by examining the evolution equations for time-like and null congruences, and recasting them as stochastic differential equations. The purpose of viewing the congruence evolution equations as stochastic is in the spirit of nonequilibrium thermodynamics, and may lead …
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The quark-hadron transition and hot hadronic matter in the early universe
Various calculations· of the evolution of the hadron gas in the early universe are carried out. To determine the starting point for the evolution equations a phase transition between the quark-gluon plasma phase and the hadron gas phase is constructed. A simple calculation leads to an estimate of …
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Fully nonlinear interfacial waves in a bounded two-fluid system
… derivation of two-and three-dimensional model evolution equations using long-wave asymptotics and the ensuing analysis and computation of these models. In addition, we derive the appropriate Birkhoff-Rott integro-differential equation for two-phase inviscid flows in channels of arbitrary aspect …
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