scholarly journals Third-order perturbations of a zero-pressure cosmological medium: Pure general relativistic nonlinear effects

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
Jai-chan Hwang ◽  
Hyerim Noh
AIP Advances ◽  
2016 ◽  
Vol 6 (11) ◽  
pp. 115213 ◽  
Author(s):  
Samad Jafar-Zanjani ◽  
Jierong Cheng ◽  
Vladimir Liberman ◽  
Jeffrey B. Chou ◽  
Hossein Mosallaei

Author(s):  
Costantino De Angelis ◽  
Michele Celebrano ◽  
Lavinia Ghirardini ◽  
Giovanni Pellegrini ◽  
Paolo Biagioni ◽  
...  

2020 ◽  
Vol 23 (1) ◽  
Author(s):  
Vanja Nikolić ◽  
Belkacem Said-Houari

AbstractWe prove global solvability of the third-order in time Jordan–More–Gibson–Thompson acoustic wave equation with memory in $${\mathbb {R}}^n$$ R n , where $$n \ge 3$$ n ≥ 3 . This wave equation models ultrasonic propagation in relaxing hereditary fluids and incorporates both local and cumulative nonlinear effects. The proof of global existence is based on a sequence of high-order energy bounds that are uniform in time, and derived under the assumption of an exponentially decaying memory kernel and sufficiently small and regular initial data.


Author(s):  
Masumi Kasai ◽  
Toshifumi Futamase

Abstract The Hubble constant problem is the discrepancy between different measurements of the Hubble constant on different scales. We show that this problem can be resolved within the general relativistic framework of the perturbation theory in the inhomogeneous universe, with the help of a spatial averaging procedure over a finite local domain in the $t={\rm{const.}}$ hypersurface. The idea presented in this paper is unique in the sense that it has all of the following properties. a) It is based on the general relativistic perturbation theory, with ordinary dust matter only. No strange matter nor energy components are required. b) The employment of the spatially invariant averaging procedure on the finite domain is essential. c) The key is the first-order effect of the inhomogeneities in the linear perturbation theory. No nonlinear effects are required.


Langmuir ◽  
2008 ◽  
Vol 24 (15) ◽  
pp. 8297-8302 ◽  
Author(s):  
Jing Lv ◽  
Li Jiang ◽  
Cuihong Li ◽  
Xiaofeng Liu ◽  
Mingjian Yuan ◽  
...  

Author(s):  
Roberto Morandotti ◽  
Robert Iwanow ◽  
George I. Stegeman ◽  
Demetri N. Christodoulides ◽  
Daniel Modotto ◽  
...  

1987 ◽  
Vol 109 ◽  
Author(s):  
M. Sinclair ◽  
D. Moses ◽  
K. Akagi ◽  
A. J. Heeger

ABSTRACTThe promise of conducting polymers as fast response nonlinear optical materials has been recently emphasized [1,3]. Polymers such as polyacetylene, polythiophene and the soluble (and processible) poly(3-alkylthienylenes) contain a high density of x-electrons, and they are known to exhibit photoinduced absorption and photoinduced bleaching, indicating major shifts of oscillator strength upon photoexcitation [2,4]. For polyacetylene, these nonlinear effects have been studied in detail in the picosecond [5a,b] and sub-picosecond [5c] time regime and correlated with the photoproduction of charge carriers through fast photoconductivity measurements [6]. The data have demonstrated ultra-fast response with nonlinear shifts in oscillator strength occurring at times of the order of 10-13 seconds. These resonant nonlinear optical properties are intrinsic; they originate from the nonlinearity of the self-localized photoexcitations [7] which characterize this class of polymers: solitons, polarons and bipolarons [4].


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