Results 1 to 10 of about 19,410 (159)
The Einstein Equations of Evolution‐A Geometric Approach [PDF]
Journal of Mathematical Physics, 1972 In this paper the exterior Einstein equations are explored from a differential geometric point of view. Using methods of global analysis and infinite-dimensional geometry, we answer sharply the question: ``In what sense are the Einstein equations, written as equations of evolution, a Lagrangian dynamical system?'' By using our global methods, several ...
Fischer Arthur E, Marsden Jerrold E
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Loss of convexity and embeddedness for geometric evolution equations of higher order [PDF]
Journal of Evolution Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simon Blatt, Blatt Simon
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Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach [PDF]
Progress in Nonlinear Differential Equations and Their Application, 2006 This is the extended version of a lecture course given at the University of Vienna in the spring term 2005. The main aim of this course was to understand the papers \cite{10} and \cite{11} and to give a complete account of existence and uniqueness of the solutions of the members of higher order of the hierarchies of Burgers' equation and the Korteweg ...
Peter W Michor, Michor Peter W
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Geometric evolution equations for hypersurfaces
Lecture Notes in Mathematics, 1999 Gerhard Huisken
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Geometric Operator Quantum Speed Limit, Wegner Hamiltonian Flow and Operator Growth [PDF]
Quantum, 2023 Quantum speed limits (QSLs) provide lower bounds on the minimum time required for a process to unfold by using a distance between quantum states and identifying the speed of evolution or an upper bound to it.
Niklas Hörnedal +3 more
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Controlled Discrete-Time Semi-Markov Random Evolutions and Their Applications
Mathematics, 2021 In this paper, we introduced controlled discrete-time semi-Markov random evolutions. These processes are random evolutions of discrete-time semi-Markov processes where we consider a control. applied to the values of random evolution.
Anatoliy Swishchuk, Nikolaos Limnios
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European Physical Journal C: Particles and Fields, 2021 We develop an approach to the theory of relativistic geometric flows and emergent gravity defined by entropy functionals and related statistical thermodynamics models. Nonholonomic deformations of G.
Sergiu I. Vacaru +2 more
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European Physical Journal C: Particles and Fields, 2020 This work consists an introduction to the classical and quantum information theory of geometric flows of (relativistic) Lagrange–Hamilton mechanical systems.
Sergiu I. Vacaru
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Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases
Complexity, 2021 We study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (
C. Udriste, I. Tevy, A. S. Rasheed
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Local geometric invariants of integrable evolution equations [PDF]
Journal of Mathematical Physics, 1994 The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion operator, are used to generate families of integrable evolution equations which preserve local geometric invariants of the evolving curve or swept-out surface.
Langer, Joel, Perline, Ron
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