Results 81 to 90 of about 1,473,150 (249)

Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes

Physical Review Research
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, Roberto Tricarico, Francesco Cesa, Hannes Pichler   +3 more
doaj   +1 more source

Aharonov–Bohm Effect for Cooper Pairs in Kerr Spacetime: Gravitomagnetic Phase Shifts From Frame Dragging

Annalen der Physik, Volume 538, Issue 8, August 2026.
ABSTRACT The unification of quantum mechanics and general relativity remains a central problem in fundamental physics. Here, we study the gravitomagnetic Aharonov–Bohm (AB) effect for Cooper pairs in Kerr spacetime. Frame‐dragging by a rotating black hole (BH) generates an effective vector potential through the off‐diagonal metric term gtϕ$g_{t\phi }$,
Erdem Sucu, İzzet Sakallı
wiley   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Hamilton-Jacobi formalism of tachyon inflation and cosmological perturbations

上海师范大学学报. 自然科学版, 2014
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
doaj   +1 more source

Coercive Hamilton–Jacobi equations in domains: the twin blow-ups method

Comptes Rendus. Mathématique
In this note, we consider an evolution coercive Hamilton–Jacobi equation posed in a domain and supplemented with a boundary condition. We are interested in proving a comparison principle in the case where the time and the (normal) gradient variables are ...
Forcadel, Nicolas, Imbert, Cyril, Monneau, Régis   +2 more
doaj   +1 more source

The study of lossy compressive method with different interpolation for holographic reconstruction in optical scanning holography

上海师范大学学报. 自然科学版, 2015
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 ...
HU Zhijuan, YAN Aimin
doaj   +1 more source

Viscosity solutions of the Cauchy problem for second-order nonlinear partial differential equations in Hilbert spaces

Electronic Journal of Differential Equations, 2006
In this paper we prove the existence and uniqueness of viscosity solutions of the Cauchy problem for the second order nonlinear partial differential equations in Hilbert spaces.
Tran Van Bang, Tran Duc Van
doaj  

Hamilton-Jacobi-Bellman equations on time scales

, 2009
In this paper, we consider a class of optimal control problems on time scales without state constraints, target conditions or the fixed terminal time. We first present and show a time scale version of the Bellman optimality principle.
Honglei Xu (23287432), Z. Zhan (6079643), W. Wei (2497504)   +2 more
core  

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
doaj   +1 more source

Optimal investment models with vintage capital: Dynamic Programming approach [PDF]

The Dynamic Programming approach for a family of optimal investment models with vintage capital is here developed. The problem falls into the class of infinite horizon optimal control problems of PDE's with age structure that have been studied in various
Silvia Faggian, Fausto Gozzi
core