Results 41 to 50 of about 6,191,539 (362)
Asymptotic behavior of N-fields Chiral cosmology
We perform a detailed analysis for the asymptotic behaviour for the multi-scalar field Chiral cosmological scenario. We present the asymptotic behaviour for the one-field, two-fields and three-fields Chiral models.
Andronikos Paliathanasis, Genly Leon
doaj +1 more source
Asymptotics for a special solution to the second member of the Painleve I hierarchy
We study the asymptotic behavior of a special smooth solution y(x,t) to the second member of the Painleve I hierarchy. This solution arises in random matrix theory and in the study of Hamiltonian perturbations of hyperbolic equations.
Bleher P+13 more
core +1 more source
AbstractThe asymptotic conjugation relation limt→±∞ ‖g(χt)M(eitp)ƒ − M(g(∇ρ))M(eitp)ƒ‖2 = 0 is established for all ƒ∈L2(Rn) under mild assumptions on ϱ and g, where M(h)ƒ = F−1(hf̌) denotes Fourier multiplication. The asymptotic estimate limt→±∞ χj|χ|∂u∂t±∂u∂χj2 = 0 for finite energy solutions u of the wave equation is deduced from (∗), along with ...
openaire +2 more sources
The Asymptotic Behavior of Diameters in the Average
AbstractIn 1975 R. Ahlswede and G. Katona posed the following average distance problem (Discrete Math.17 (1977), 10): For every cardinality a ∈ {1, ..., 2n} determine subsets A of {0, 1}n with # A = a, which have minimal average inner Hamming distance. Recently I. Althöfer and T. Sillke (J. Combin. Theory Ser.
Ahlswede, Rudolf, Althöfer, Ingo
openaire +2 more sources
The asymptotic behavior of solutions to nonlinear partial differential equations is an important tool for studying their long-term behavior. However, when studying the asymptotic behavior of solutions to nonlinear partial differential equations with ...
Huanzhi Ge, Feng Du
doaj +1 more source
A Theorem of Galambos-Bojanić-Seneta Type
In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions 𝑐[𝑥],𝑥≥1, for 𝑥→+∞, is investigated by the asymptotic behavior of the given sequence of positive numbers (𝑐𝑛), as 𝑛→+∞ and vice versa.
Dragan Djurčić, Aleksandar Torgašev
doaj +1 more source
The previous attempts of reconstructing the Gell-Mann-Low function \beta(g) of the \phi^4 theory by summing perturbation series give the asymptotic behavior \beta(g) = \beta_\infty g^\alpha in the limit g\to \infty, where \alpha \approx 1 for the space ...
A. A. Pogorelov+62 more
core +1 more source
Asymptotic Behavior of the Nonlinear Schrödinger Equation with Harmonic Trapping [PDF]
We consider the cubic nonlinear Schrödinger equation with harmonic trapping on ℝD (1 ≤ D ≤ 5). In the case when all directions but one are trapped (aka “cigar‐shaped trap”), we prove modified scattering and construct modified wave operators for small ...
Z. Hani, Laurent Thomann
semanticscholar +1 more source
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws [PDF]
In this paper we analyze the large time asymptotic behavior of the discrete solutions of numerical approximation schemes for scalar hyperbolic conservation laws.
Ignat, Liviu I.+2 more
core +3 more sources
In this article we discuss some of the qualitative properties of fractional difference operators. We especially focus on the connections between the fractional difference operator and the monotonicity and convexity of functions.
L. Erbe+3 more
semanticscholar +1 more source