Results 71 to 80 of about 44,878 (209)
An Integral Equation Approach to the Irreversible Investment Problem with a Finite Horizon
Mathematics, 2020 This paper studies an irreversible investment problem under a finite horizon. The firm expands its production capacity in irreversible investments by purchasing capital to increase productivity.
Junkee Jeon, Geonwoo Kim
doaj +1 more source
Fortschritte der Physik, Volume 73, Issue 4, April 2025.Abstract The Kerr metric is a vacuum solution of the Einstein equations outside of a rotating black hole (BH), but what interior matter is actually rotating and sourcing the Kerr geometry? Here, a rotating exotic matter is described, which can source the Kerr geometry for the entire acceptable range of its spin parameter and be shown to saturate the ...
Ram Brustein, A.J.M. Medved
wiley +1 more source
Dynamic Programming and Hamilton–Jacobi–Bellman Equations on Time Scales
Complexity, 2020 Bellman optimality principle for the stochastic dynamic system on time scales is derived, which includes the continuous time and discrete time as special cases.
Yingjun Zhu, Guangyan Jia
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Intrinsic Hopf–Lax formula and Hamilton–Jacobi equation
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1208-1228, April 2025.Abstract The purpose of this article is to analyze the notion of intrinsic Hopf–Lax formula and its connection with the Hamilton–Jacobi‐type equation.
Daniela Di Donato
wiley +1 more source
Neural Level Set Topology Optimization Using Unfitted Finite Elements
International Journal for Numerical Methods in Engineering, Volume 126, Issue 6, 30 March 2025.ABSTRACT To facilitate the widespread adoption of automated engineering design techniques, existing methods must become more efficient and generalizable. In the field of topology optimization, this requires the coupling of modern optimization methods with solvers capable of handling arbitrary problems.
Connor N. Mallon +3 more
wiley +1 more source
Kerr–Sen–Taub–NUT spacetime and circular geodesics
European Physical Journal C: Particles and Fields, 2020 We present a solution obeying classical equation of motion in the low energy limit of heterotic string theory. The solution represents a rotating mass with electric charge and gravitomagnetic monopole moment.
Haryanto M. Siahaan
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Representation Formula for Solutions of Eikonal Type Equations
Nonlinear Analysis, 2001 Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for ...
Gintautas Gudynas
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Symmetric Reduction and Hamilton-Jacobi Equation of Rigid Spacecraft with a Rotor [PDF]
, 2014 In this paper, we consider the rigid spacecraft with an internal rotor as a regular point reducible regular controlled Hamiltonian (RCH) system. In the cases of coincident and non-coincident centers of buoyancy and gravity, we give explicitly the motion ...
Wang, Hong
core
Mean Field Game with Delay: A Toy Model
Risks, 2018 We study a toy model of linear-quadratic mean field game with delay. We “lift” the delayed dynamic into an infinite dimensional space, and recast the mean field game system which is made of a forward Kolmogorov equation and a backward ...
Jean-Pierre Fouque, Zhaoyu Zhang
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Sharp Decay Estimates and Vanishing Viscosity for Diffusive Hamilton-Jacobi Equations [PDF]
, 2008 Sharp temporal decay estimates are established for the gradient and time derivative of solutions to a viscous Hamilton-Jacobi equation as well the associated Hamilton-Jacobi equation.
Ben-Artzi, Matania +2 more
core +3 more sources