Results 51 to 60 of about 90,571 (200)

Quantized gravitational waves in the Milne universe [PDF]

, 1996
The quantization of gravitational waves in the Milne universe is discussed. The relation between positive frequency functions of the gravitational waves in the Milne universe and those in the Minkowski universe is clarified.
A. D. Linde, A. D. Linde, A. diSessa, A. M. Green, D. Lyth, J. D. Cohn, J. Garcia-Bellido, J. Garriga, J. R. Gott III, K. Tomita, K. Yamamoto, K. Yamamoto, K. Yamamoto, K. Yamamoto, L. Amendola, M. Bucher, M. Bucher, M. Sasaki, M. Sasaki, Misao Sasaki, R. K. Sachs, S. Coleman, S. Coleman, T. Hamazaki, T. Tanaka, Takahiro Tanaka, U. H. Gerlach, W. Magnus   +27 more
core   +2 more sources

Waveguide Photoactuators: Materials, Fabrication, and Applications

Advanced Robotics Research, EarlyView.
Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi, Hemin Pan, Yang Zong, Yongfeng Mei, Jizhai Cui   +4 more
wiley   +1 more source

Some Fractional Integral Inequalities Involving Mittag-Kernels

Journal of Mathematics, 2022
This paper aims to present fractional versions of Minkowski-type integral inequalities via integral operators involving Mittag-Leffler functions in their kernels. Inequalities for various kinds of well-known integral operators can be deduced by selecting
Xiujun Zhang, Ghulam Farid, Jiraporn Reunsumrit, Ayyaz Ahmad, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

Work Versus Force: Simultaneous Processes for Describing Interactions

Advanced Physics Research, EarlyView.
ABSTRACT Achieving a unified description of interactions remains an open challenge in theoretical physics, which currently describes four fundamental forces. This situation may be viewed differently when interactions are formulated in terms of processes (work as actio) rather than forces (force as actio), not only at the macroscopic level but also at ...
Grit Kalies, Duong D. Do, Cornelia Breitkopf   +2 more
wiley   +1 more source

Spacelike convex surfaces with prescribed curvature in (2+1)-Minkowski space [PDF]

, 2016
We prove existence and uniqueness of solutions to the Minkowski problem in any domain of dependence $D$ in $(2+1)$-dimensional Minkowski space, provided $D$ is contained in the future cone over a point.
Bonsante, Francesco, Seppi, Andrea
core   +2 more sources

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source

Operator Method and Recursion Relations for Inflationary Correlator

, 2018
We develop the systematics for applying operators on Minkowski correlation functions to get the inflationary correlation functions. Simple structures and recursion relations are known for Minkowski correlation functions.
Chu, Shek Kit, Wang, Yi, Zhou, Siyi
core   +2 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Conformal partial wave expansion of celestial correlators

Journal of High Energy Physics
A novel definition of holographic correlation functions on the celestial sphere of Minkowski space was recently introduced in [1] as the extrapolation of bulk time-ordered correlation functions to the celestial sphere.
Francesca Pacifico, Charlotte Sleight, Massimo Taronna   +2 more
doaj   +1 more source

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley   +1 more source