Short-wave asymptotic behavior of space-time creeping waves in elasticity theory

1987 ◽  
Vol 38 (1) ◽  
pp. 1688-1699 ◽  
Author(s):  
Z. A. Yanson
Keyword(s):  
Asymptotic Behavior ◽  
Elasticity Theory ◽  
Short Wave ◽  
Space Time

Asymptotic behavior of the effective potential of composite fields in a curved space-time

1988 ◽  
Vol 31 (2) ◽  
pp. 163-167
Author(s):  
I. L. Bukhbinder ◽  
S. D. Odintsov
Keyword(s):  
Asymptotic Behavior ◽  
Effective Potential ◽  
Space Time ◽  
Curved Space

TOWARD SOLVABLE 4-DIMENSIONAL CONFORMAL THEORIES

1989 ◽  
Vol 04 (03) ◽  
pp. 227-234 ◽  
Author(s):  
P. FURLAN ◽  
V. B. PETKOVA
Keyword(s):  
Asymptotic Behavior ◽  
Mellin Transform ◽  
Coulomb Gas ◽  
Space Time ◽  
Two Dimensional ◽  
Conformal Invariant ◽  
Time Dimension

The Symanzik representation, based on the Mellin transform, is explored to analyze the asymptotic behavior of conformal invariant n-point functions, constructed through a generalization to arbitrary (even) space-time dimension of the two-dimensional Coulomb gas representation.

scholarly journals THE SCALAR WAVE EQUATION IN A NON-COMMUTATIVE SPHERICALLY SYMMETRIC SPACE-TIME

2008 ◽  
Vol 05 (01) ◽  
pp. 33-47 ◽  
Author(s):  
ELISABETTA DI GREZIA ◽  
GIAMPIERO ESPOSITO ◽  
GENNARO MIELE
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Rest Mass ◽  
Physical Space ◽  
Scalar Fields ◽  
Space Time ◽  
Asymptotic Behavior Of Solutions ◽  
Scalar Wave ◽  
Null Infinity ◽  
Scalar Wave Equation

Recent work in the literature has studied a version of non-commutative Schwarzschild black holes where the effects of non-commutativity are described by a mass function depending on both the radial variable r and a non-commutativity parameter θ. The present paper studies the asymptotic behavior of solutions of the zero-rest-mass scalar wave equation in such a modified Schwarzschild space-time in a neighborhood of spatial infinity. The analysis is eventually reduced to finding solutions of an inhomogeneous Euler–Poisson–Darboux equation, where the parameter θ affects explicitly the functional form of the source term. Interestingly, for finite values of θ, there is full qualitative agreement with general relativity: the conformal singularity at spacelike infinity reduces in a considerable way the differentiability class of scalar fields at future null infinity. In the physical space-time, this means that the scalar field has an asymptotic behavior with a fall-off going on rather more slowly than in flat space-time.

The relativistic Enskog equation near the vacuum in the Robertson–Walker space-time

2019 ◽  
Vol 10 (3) ◽  
pp. 273-284
Author(s):  
Fidele Lavenir Ciake Ciake ◽  
Etienne Takou
Keyword(s):  
Cauchy Problem ◽  
Asymptotic Behavior ◽  
Mild Solution ◽  
Existence And Uniqueness ◽  
Hard Sphere ◽  
Weighted Space ◽  
Space Time ◽  
Uniqueness Result ◽  
Enskog Equation ◽  
The Cauchy Problem

Abstract In this paper, we consider the Cauchy problem for the relativistic Enskog equation with near vacuum data for a hard sphere gas in the Robertson–Walker space-time. We prove an existence and uniqueness result of the global (in time) mild solution in a suitable weighted space. We also study the asymptotic behavior of the solution as well as the {L^{\infty}} -stability.

The space-time caustic of an elastic short-wave field

1984 ◽  
Vol 24 (3) ◽  
pp. 357-366 ◽  
Author(s):  
N. Ya. Kirpichnikova
Keyword(s):  
Wave Field ◽  
Short Wave ◽  
Space Time

scholarly journals SEMIMARTINGALE ATTRACTORS FOR ALLEN–CAHN SPDEs DRIVEN BY SPACE–TIME WHITE NOISE I: EXISTENCE AND FINITE DIMENSIONAL ASYMPTOTIC BEHAVIOR

2004 ◽  
Vol 04 (02) ◽  
pp. 223-244 ◽  
Author(s):  
H. ALLOUBA ◽  
J. A. LANGA
Keyword(s):  
Asymptotic Behavior ◽  
Fractal Dimension ◽  
White Noise ◽  
Global Attractors ◽  
Space Time ◽  
Finite Dimensional ◽  
Determining Modes ◽  
Random Attractors ◽  
Finite Fractal Dimension ◽  
Regularity Results

We delve deeper into the study of semimartingale attractors that we recently introduced in Allouba and Langa [5]. In this paper we focus on second-order SPDEs of the Allen–Cahn type. After proving existence, uniqueness, and detailed regularity results for our SPDEs and for the corresponding random PDEs of Allen–Cahn type; we prove the existence of semimartingale global attractors for these equations. We also give some results on the finite-dimensional asymptotic behavior of the solutions. In particular, we show the finite fractal dimension of these random attractors and give a result on determining modes, both in the forward and the pullback senses.

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