Results 61 to 70 of about 1,562,881 (169)

ON THE STRUCTURE OF THE SINGULAR SET OF A PIECEWISE SMOOTH MINIMAX SOLUTION OF THE HAMILTON–JACOBI–BELLMAN EQUATION

open access: yesUral Mathematical Journal, 2016
The properties of a minimax piecewise smooth solution of the Hamilton–Jacobi–Bellman equation are studied. It is known the Rankine–Hugoniot conditions are necessary and sufficient conditions for the points of nondifferentiability (singularity) of the ...
Aleksei S. Rodin
doaj   +1 more source

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

open access: yesInternational 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

Symmetry Analysis of the Hamilton-Jacobi-Bellman Equation Arising in Financial Mathematics

open access: yes, 2018
We outline symmetry analysis on the Hamilton-Bellman-Jacobi equation [...
Maluti Kgarose   +1 more
core   +1 more source

Cooperative and Non‐Cooperative Solutions in a Dynamic Model of Forest Management

open access: yesNatural Resource Modeling, Volume 39, Issue 3, August 2026.
ABSTRACT This study develops a deterministic finite‐horizon bioeconomic control model linking forest biomass, biodiversity, cumulative harvesting pressure, and disturbance‐motivated expected biodiversity losses. Biodiversity is modeled as a productive state variable that feeds back into biomass growth, while cumulative harvesting pressure records the ...
Seyedalireza Seyedi   +2 more
wiley   +1 more source

Viscosity solutions of the evolutive Hamilton-Jacobi equation by limiting variational methods. With a look to the stationary case.

open access: yes, 2023
openWe consider two notions of weak solutions for the evolutive Hamilton-Jacobi equation: the viscosity and the variational solutions. For globally compactly supported Hamiltonians, we introduce iterative min-max procedures -for time intervals tending to
CAMPEDELLI, GAIA
core  

On the generalized Jacobi equation. [PDF]

open access: yes, 2008
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick, Volker
core   +4 more sources

Synthesizing Interacting Model‐Based Optimal Control and Model‐Free Learning Approaches for Nonlinear Systems

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 10, Page 5619-5634, 10 July 2026.
ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye   +2 more
wiley   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

open access: yesAdvanced Intelligent Systems, Volume 8, Issue 7, July 2026.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Stochastic Optimal Control of Averaged SDDE with Semi-Markov Switching and with Application in Economics

open access: yesMathematics
This paper is devoted to the study of stochastic optimal control of averaged stochastic differential delay equations (SDDEs) with semi-Markov switchings and their applications in economics.
Mariya Svishchuk, Anatoliy V. Swishchuk
doaj   +1 more source

Economic Growth and the Rise of Large Firms

open access: yesEconometrica, Volume 94, Issue 4, Page 1375-1408, July 2026.
I document that the right tail of the firm size distribution systematically thickens with economic development. To rationalize this fact, I develop a parsimonious idea search model in which both aggregate growth and the firm size distribution are endogenously determined.
Zhang Chen
wiley   +1 more source

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