Results 61 to 70 of about 44,878 (209)

Wormholes and effective potentials

ACI Avances en Ciencias e Ingenierías, 2011
The fundamental properties of the Ellis wormholes are reviewed. Using the Hamilton-Jacobi formalism, we have derived the effective potentials and the orbit equation for a particle around a wormhole in both Ellis and Morris-Thorne geometries.
Carlos A. Marín
doaj   +1 more source

A Bilevel Optimal Control Method and Application to the Hybrid Electric Vehicle

Optimal Control Applications and Methods, Volume 46, Issue 3, Page 1104-1119, May/June 2025.
Schematic representation of the Macro‐Micro method. ABSTRACT In this article we present a new numerical method based on a bilevel decomposition of optimal control problems. A strong connection between the proposed method and the classical indirect multiple shooting method is shown in the regular case, thanks to a link between the Bellman's value ...
Olivier Cots, Rémy Dutto, Sophie Jan, Serge Laporte   +3 more
wiley   +1 more source

Joint dynamic pricing and marketing‐mix strategies for revenue management applications with stochastic demand

International Transactions in Operational Research, Volume 32, Issue 3, Page 1566-1592, May 2025.
Abstract To attract potential customers and to effectively sell their inventories over time, retailers often invest in different marketing levers and apply dynamic pricing strategies. However, composing a profitable marketing mix in dynamic settings is challenging. The high problem complexity increases further if one seeks to account for stochastic and
Rainer Schlosser, Régis Y. Chenavaz
wiley   +1 more source

Families of Canonical Transformations by Hamilton-Jacobi-Poincar\'e equation. Application to Rotational and Orbital Motion

, 2009
The Hamilton-Jacobi equation in the sense of Poincar\'e, i.e. formulated in the extended phase space and including regularization, is revisited building canonical transformations with the purpose of Hamiltonian reduction.
A. Deprit, A. Deprit, A. Deprit, A. Deprit, Ch. E. Delaunay, D. Boccaletti, D. E. Chang, D. Iglesias, D. L. Hitzl, E. T. Whittaker, F. Fassò, F. Fassò, G. Benettin, G. J. Sussman, G. Scheifele, G. W. Hill, H. Goldstein, H. Kinoshita, H. Poincaré, J. E. Marsden, J. F. Cariñena, J. Moser, J. Moser, J. P. Ortega, J. Struckmeier, J. V. José, K. Meyer, M. de León, M. H. Andoyer, M. H. Andoyer, M. Hénon, P. Yanguas, R. de la Llave, R. H. Cushman, S. Ferrer, S. Ferrer, T. Fukushima, T. Levi-Civita, T. Levi-Civita, V. V. Kozlov, Yu. A. Sadov, Yu. A. Sadov   +41 more
core   +1 more source

Existence of viscosity solution for a singular Hamilton–Jacobi equation

Arab Journal of Mathematical Sciences, 2015
In this paper we study the existence of a singular Hamilton–Jacobi equation under the framework of viscosity solutions. The analysis is inspired by the arguments of [8] where a study of a model on dislocation dynamics was considered.
H. Ibrahim, S. Zabad
doaj   +1 more source

Decoding a mean field game by the Cauchy data around its unknown stationary states

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract In recent years, mean field games (MFGs) have garnered considerable attention and emerged as a dynamic and actively researched field across various domains, including economics, social sciences, finance, and transportation. The inverse design and decoding of MFGs offer valuable means to extract information from observed data and gain insights ...
Hongyu Liu, Catharine W. K. Lo, Shen Zhang   +2 more
wiley   +1 more source

Concircular tensors in Spaces of Constant Curvature: With Applications to Orthogonal Separation of The Hamilton-Jacobi Equation [PDF]

, 2015
We study concircular tensors in spaces of constant curvature and then apply the results obtained to the problem of the orthogonal separation of the Hamilton-Jacobi equation on these spaces.
McLenaghan, Raymond G., Rajaratnam, Krishan   +1 more
core  

An application of global gradient estimates in Lorentz-Morrey spaces for the existence of stationary solutions to degenerate diffusive Hamilton-Jacobi equations

Electronic Journal of Differential Equations, 2019
In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
doaj  

Nonlinear Optimal Control for Stochastic Dynamical Systems

Mathematics
This paper presents a comprehensive framework addressing optimal nonlinear analysis and feedback control synthesis for nonlinear stochastic dynamical systems.
Manuel Lanchares, Wassim M. Haddad
doaj   +1 more source

Numerical Construction of Viable Sets for Autonomous Conflict Control Systems

Mathematics, 2014
A conflict control system with state constraints is under consideration. A method for finding viability kernels (the largest subsets of state constraints where the system can be confined) is proposed.
Nikolai Botkin, Varvara Turova
doaj   +1 more source