Asymptotics of the Solution of Bisingular Problem for a System of Linear Parabolic Equations. I
Given a bisingular parabolic problem for a system of linear parabolic equations, we construct an asymptotics for the solution of any order with respect to a small parameter, without using the joining procedure for asymptotic expansions.
M. V. Butuzova
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Primordial perturbations in a non singular bouncing universe model [PDF]
We construct a simple non singular cosmological model in which the currently observed expansion phase was preceded by a contraction. This is achieved, in the framework of pure general relativity, by means of a radiation fluid and a free scalar field ...
A. Albrecht +71 more
core +3 more sources
Scalar perturbations of non-singular non-rotating black holes in conformal gravity [PDF]
We study scalar and electromagnetic perturbations of a family of nonsingular nonrotating black hole spacetimes that are solutions in a large class of conformally invariant theories of gravity.
B. Toshmatov +4 more
semanticscholar +1 more source
Axiomatic Approach in the Analytic Theory of Singular Perturbations
Introduced by S.A. Lomov, the concept of a pseudoanalytic (pseudoholomorphic) solution laid the foundation for the development of the singular perturbation analytical theory.
Margarita Besova, Vasiliy Kachalov
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Instability of cosmological event horizons of non-static global cosmic strings [PDF]
The stability of the cosmological event horizons found recently by Gregory [Phys. Rev. D54, 4955 (1996)] for a class of non-static global cosmic strings is studied.
A. Banerjee +22 more
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Perturbation of the Ground Varieties of C = 1 String Theory [PDF]
We discuss the effect of perturbations on the ground rings of $c=1$ string theory at the various compactification radii defining the $A_N$ points of the moduli space.
Ghoshal, Debashis +2 more
core +2 more sources
Van der Pol Equation with a Large Feedback Delay
The well-known Van der Pol equation with delayed feedback is considered. It is assumed that the delay factor is large enough. In the study of the dynamics, the critical cases in the problem of the stability of the zero equilibrium state are identified ...
Sergey Kashchenko
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A new instability for finite Prandtl number rotating convection with free-slip boundary conditions [PDF]
Rolls in finite Prandtl number rotating convection with free-slip top and bottom boundary conditions are shown to be unstable with respect to small angle perturbations for any value of the rotation rate.
Passot, Thierry +2 more
core +4 more sources
Holographic interpretation of renormalization group approach to singular perturbations in nonlinear differential equations [PDF]
We give a holographic explanation of how the renormalization group approach to singular perturbations in nonlinear differential equations proposed by Chen, Goldenfeld, and Oono is indeed equivalent to a renormalization group method in quantum field ...
Y. Nakayama
semanticscholar +1 more source
Singular Finsler Double Phase Problems with Nonlinear Boundary Condition
In this paper, we study a singular Finsler double phase problem with a nonlinear boundary condition and perturbations that have a type of critical growth, even on the boundary.
Farkas Csaba +2 more
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