Policy iteration for Hamilton–Jacobi–Bellman equations with control constraints.

Authors: Kundu, Sudeep¹ (AUTHOR) sudeep.kundu@uni-graz.at, Kunisch, Karl^1,2 (AUTHOR)

Source: Computational Optimization & Applications. Apr2024, Vol. 87 Issue 3, p785-809. 25p.

Subject Terms: Hamilton-Jacobi equations, Hamilton-Jacobi-Bellman equation, Linear equations

Ordered Patterns of (3+1)-Dimensional Hadronic Gauged Solitons in the Low-Energy Limit of Quantum Chromodynamics at a Finite Baryon Density, Their Magnetic Fields and Novel BPS Bounds.

Authors: Canfora, Fabrizio^1,2 (AUTHOR) fabrizio.canfora@uss.cl, Delgado, Evangelo³ (AUTHOR) edelgado2019@udec.cl, Urrutia, Luis³ (AUTHOR) lurrutia2018@udec.cl

Source: Symmetry (20738994). May2024, Vol. 16 Issue 5, p518. 20p.

Subject Terms: *QUANTUM chromodynamics, *HAMILTON-Jacobi equations, *MAGNETIC fields, *SKYRME model, *SOLITONS, *SUPERGRAVITY

Optimal convergence rate for homogenization of convex Hamilton–Jacobi equations in the periodic spatial-temporal environment.

Authors: Nguyen-Tien, Hoang¹ (AUTHOR) htnguyen35@wisc.edu

Source: Asymptotic Analysis. 2024, Vol. 138 Issue 1/2, p135-150. 16p.

Subject Terms: *ASYMPTOTIC homogenization, *HAMILTON-Jacobi equations, *VISCOSITY solutions

Nonlinear Dynamic Response of Galfenol Cantilever Energy Harvester Considering Geometric Nonlinear with a Nonlinear Energy Sink.

Authors: Wang, Lingzhi¹, lzwang@cqust.edu.cn, Liu, Chao¹, Liu, Weidong¹, Yan, Zhitao¹, yanzhitao@cqu.edu.cn, Nie, Xiaochun¹, yanzhitao@cqu.edu.cn

Source: Buildings (2075-5309); May2024, Vol. 14 Issue 5, p1482, 22p

Hamilton–Jacobi scaling limits of Pareto peeling in 2D.

Authors: Bou-Rabee, Ahmed¹ (AUTHOR) ahmedmb@gmail.com, Morfe, Peter S.¹ (AUTHOR)

Source: Probability Theory & Related Fields. Feb2024, Vol. 188 Issue 1/2, p235-307. 73p.

Subject Terms: Hamilton-Jacobi equations, Random sets, Point set theory, Viscosity solutions, Curvature

An optimal control problem of traffic flow on a junction.

Authors: Cardaliaguet, Pierre¹ (AUTHOR) cardaliaguet@ceremade.dauphine.fr, Souganidis, Panagiotis E.² (AUTHOR)

Source: ESAIM: Control, Optimisation & Calculus of Variations. 2024, Vol. 30, p1-35. 35p.

Subject Terms: *HAMILTON-Jacobi equations, *PARTIAL differential equations, *TRAFFIC engineering, *TRAFFIC speed, *CONSERVATION laws (Physics)

Vibration response analysis of the bi-directional porous functionally graded piezoelectric (BD-FGP) plate.

Authors: Kumar, Pawan¹ (AUTHOR) pkumar18@me.iitr.ac.in, Harsha, Aditya² (AUTHOR)

Source: Mechanics Based Design of Structures & Machines. 2024, Vol. 52 Issue 1, p126-151. 26p.

Subject Terms: *HAMILTON'S principle function, *HAMILTON-Jacobi equations, *POWER law (Mathematics), *SMART structures, *FREE vibration, *ELECTRICAL load, *STRUCTURAL engineering

Percolation Games.

Authors: Garnier, Guillaume¹ (AUTHOR) guillaume.garnier@inria.fr, Ziliotto, Bruno² (AUTHOR) ziliotto@ceremade.dauphine.fr

Source: Mathematics of Operations Research. Nov2023, Vol. 48 Issue 4, p2156-2166. 11p.

Subject Terms: *Dynamic programming, Hamilton-Jacobi equations, Percolation, Games

Relaxation and asymptotic expansion of controlled stiff differential equations.

Authors: Herty, Michael¹, Kouhkouh, Hicham², kouhkouh@eddy.rwth-aachen.de

Source: International Journal of Control; Mar2025, Vol. 98 Issue 3, p529-543, 15p

Adaptive Dynamic Programming for a Nonlinear Two‐Player Non‐Zero‐Sum Differential Game With State and Input Constraints.

Authors: Zhou, Yinglu¹, Li, Yinya¹, liyinya@njust.edu.cn, Sheng, Andong¹, Qi, Guoqing¹

Source: International Journal of Robust & Nonlinear Control; Feb2025, Vol. 35 Issue 3, p1117-1133, 17p

RECOVERY BASED LINEAR FINITE ELEMENT METHODS FOR HAMILTON--JACOBI--BELLMAN EQUATION WITH CORDES COEFFICIENTS.

Authors: TIANYANG CHU¹, tchu@lsec.cc.ac.cn, HAILONG GUO², hailong.guo@unimelb.edu.au, ZHIMIN ZHANG³, ag7761@wayne.edu

Source: SIAM Journal on Numerical Analysis; 2025, Vol. 63 Issue 1, p23-53, 31p

Well-posedness of Hamilton-Jacobi equations in the Wasserstein space: non-convex Hamiltonians and common noise.

Authors: Daudin, Samuel¹, Jackson, Joe², jsjackson@uchicago.edu, Seeger, Benjamin³

Source: Communications in Partial Differential Equations; 2025, Vol. 50 Issue 1/2, p1-52, 52p

Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems.

Authors: Plaksin, Anton^1,2 (AUTHOR) a.r.plaksin@gmail.com

Source: Applied Mathematics & Optimization. Aug2023, Vol. 88 Issue 1, p1-29. 29p.

Subject Terms: Viscosity solutions, Hamilton-Jacobi equations, Cauchy problem, Differential games

The Brown measure of a family of free multiplicative Brownian motions.

Authors: Hall, Brian C.¹ (AUTHOR) bhall@nd.edu, Ho, Ching-Wei^1,2 (AUTHOR)

Source: Probability Theory & Related Fields. Aug2023, Vol. 186 Issue 3/4, p1081-1166. 86p.

Subject Terms: *Stochastic analysis, Brownian motion, Hamilton-Jacobi equations, Operator algebras, Random matrices

Element‐based coupling modeling of peridynamics and classical continuum mechanics for dynamic brittle fracture.

Authors: Yu, Yuechuan¹, Han, Fei^1,2, hanfei@dlut.edu.cn, Li, Zhibin¹, Sun, Yunhou³, houyunsun@126.com, Mei, Yong³, meiyong1990@126.com, Zhang, Ao³

Source: International Journal for Numerical Methods in Engineering; Dec2023, Vol. 124 Issue 24, p5574-5595, 22p

Charged spinning and magnetized test particles orbiting quantum improved charged black holes.

Authors: Ladino, Jose Miguel¹ (AUTHOR), Benavides-Gallego, Carlos A.^2,3 (AUTHOR) cabenavidesg@sjtu.edu.cn, Larrañaga, Eduard¹ (AUTHOR), Rayimbaev, Javlon^4,5,6,7,8 (AUTHOR), Abdulxamidov, Farrux^9,10 (AUTHOR)

Source: European Physical Journal C -- Particles & Fields. Nov2023, Vol. 83 Issue 11, p1-17. 17p.

Subject Terms: *HAMILTON-Jacobi equations, *SCHWARZSCHILD black holes, *ORBITS (Astronomy), *BLACK holes, *PARTICLE dynamics, *EQUATIONS of motion, *PSEUDOPOTENTIAL method, *HAWKING radiation, *SPIN-orbit interactions

Coating Characteristics and Dynamics of Sponge Roller Coatings with Different Viscosities and Linear Speeds for Different Diameters of Rollers.

Authors: Zhu, Yu¹, zhu.y@ntu.edu.cn, Huang, Yingjian¹, hyjian@stmail.ntu.edu.cn, Lv, Shuaishuai¹, 2210310024@stmail.ntu.edu.cnlvshuaishuai@ntu.edu.cn, Ni, Hongjun¹, lvshuaishuai@ntu.edu.cnwangxx@ntu.edu.cn, Zhou, Lin¹, Wang, Xingxing¹, Lin, Changbin², cnchklcb@163.com, Wu, Xiaoyu², wxyhkfoam@163.com

Source: Coatings (2079-6412); Nov2023, Vol. 13 Issue 11, p1943, 14p

Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations.

Authors: Han, Wonho¹ (AUTHOR), Kim, Kwangil¹ (AUTHOR) kimki1973@star-co.net.kp, Hong, Unhyok² (AUTHOR)

Source: Applications of Mathematics. Oct2023, Vol. 68 Issue 5, p661-684. 24p.

Subject Terms: *HAMILTON-Jacobi equations, *ALGORITHMS

Inviscid Burgers as a degenerate elliptic problem.

Authors: Kouskiya, Uditnarayan¹, Acharya, Amit²

Source: Quarterly of Applied Mathematics; Jun2025, Vol. 83 Issue 2, p315-360, 46p

Quantitative stochastic homogenization of the G equation.

Authors: Cooperman, William¹ (AUTHOR) billc@uchicago.edu

Source: Probability Theory & Related Fields. Jun2023, Vol. 186 Issue 1/2, p493-520. 28p.

Subject Terms: Hamilton-Jacobi equations, Equations, Ergodic theory, Percolation theory