Results 11 to 20 of about 1,033 (162)
Covariant GUP Deformed Hamilton-Jacobi Method [PDF]
We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
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Hamilton–Jacobi–Bellman Equations in Stochastic Geometric Mechanics
This paper summarises a new framework of Stochastic Geometric Mechanics that attributes a fundamental role to Hamilton–Jacobi–Bellman (HJB) equations.
Qiao Huang, Jean-Claude Zambrini
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
europepmc +2 more sources
Quantitative Homogenization for Hamilton-Jacobi Equations [PDF]
Hamilton-Jacobi equations form a broad class of first-order partial differential equations. Some such equations model physical phenomena, such as the evolution of a system of particles according to classical mechanics, or the combustion of a flammable ...
Cooperman, William
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An approximation method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, Noboru +10 more
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Gauge Invariance of Nonlinear Klein-Gordon
We have discussed the gauge invariance of nonlinear Klein-Gordon equation which describes the interaction of electromagnetic initially proposed by Hermann Weyl. The construction of nonlinear Klein-Gordon itself is formulated by two classical conservation
T. B. Prayitno
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Idempotent structures in optimization [PDF]
Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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This study is concerned with a system of two nonlinear first order partial differential equations. The right-hand sides of the system contain the squares of the gradients of the unknown functions.
A.A. Kosov +2 more
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Quadratic Poisson algebras on k[x, y, z]and their automorphisms
One of the important directions in modern mathematics is applications of Poisson structures and to various problems of mathematics and theoretical mechanics. These problems arise in dynamics of a rigid body, the celestial mechanics, the theory of curls,
U.K. Turusbekova, G.T. Azieva
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THE MODEL FOR FINAL STAGE OF GRAVITATIONAL COLLAPSE MASSLESS SCALAR FIELD
It is known that in General relativity, for some spherically symmetric initial conditions, the massless scalar field (SF) experience the gravitational collapse (Choptuik, 1989), and arise a black hole (BH). According Bekenstein, a BH has no "hair scalar",
V. D. Gladush, D. V. Mironin
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