Results 71 to 80 of about 9,739 (169)
Hamilton-Jacobi equations constrained on networks
The previous versions of this preprint had the different title Hamilton-Jacobi equation on networks. The link for these old versions is hal-00503910 - version 4International audienceWe consider continuous-state and continuous-time control problems where ...
Yves Achdou +10 more
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ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley +1 more source
Some Results on Bellman Equations of Optimal Production Control in a Stochastic Manufacturing System
The paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand. We establish the existence of a unique solution of the Hamilton-
Azizul Baten, Anton Abdulbasah Kamil
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The representation formula for solutions of some class Hamilton–Jacobi equations
The lower semicontinious solutions of Hamilton–Jacobi equation are contructed by Hopf formula, when hamiltonian is maximum of linear functions.
Gintautas Gudynas
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Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography
ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley +1 more source
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
Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
We discuss time-optimal control problems for two setups involving globally driven Rydberg atoms in the blockade limit by deriving the associated Hamilton-Jacobi-Bellman equations. From these equations, we extract the globally optimal trajectories and the
Charles Fromonteil +3 more
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Hamilton-Jacobi formalism of tachyon inflation and cosmological perturbations
We study the cosmological inflation models driven by the rolling tachyon field which has a Born-Infeld-type action.We drive the Hamilton-Jacobi equation for the cosmological dynamics of tachyon inflation and the mode equations for the scalar and tensor ...
LIU Daojun
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Stochastic Dynamics From Maximum Entropy in Action Space
ABSTRACT We develop an information‐theoretic formulation of stochastic dynamics in which the fundamental stochastic variable is the total action connecting spacetime points, rather than individual paths. By maximizing Shannon entropy over a joint distribution of actions and endpoints, subject to normalization and a constraint on the mean action, we ...
Fabricio Souza Luiz +3 more
wiley +1 more source
Finite Element Methods with Artificial Diffusion for Hamilton-Jacobi-Bellman Equations
In this short note we investigate the numerical performance of the method of artificial diffusion for second-order fully nonlinear Hamilton-Jacobi-Bellman equations. The method was proposed in (M. Jensen and I. Smears, arXiv:1111.5423); where a framework
I. Smears +5 more
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