Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4469
Abstract: In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with critical, structural, dissipation, and absorbing power nonlinearity: utt+Δ2θu+2μ(−Δ)θut+|ut|p−1ut=0,t≥0,x∈Rn, with μ>0, θ is a positive integer, and p>1+4θ/n, in space dimension n∈(2θ,4θ). We… read more here.
Keywords: self similar; equation critical; similar asymptotic; asymptotic profile ... See more keywords
On Spectral Eigenvalue Problem of a Class of Self-similar Spectral Measures with Consecutive Digits
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-020-09795-x
Abstract: Let $$\mu _{p,q}$$ be a self-similar spectral measure with consecutive digits generated by an iterated function system $$\{f_i(x)=\frac{x}{p}+\frac{i}{q}\}_{i=0}^{q-1}$$ , where $$2\le q\in {{\mathbb {Z}}}$$ and q|p. It is known that for each $$w=w_1w_2\cdots \in \{-1,1\}^\infty… read more here.
Keywords: self similar; eigenvalue problem; similar spectral; problem class ... See more keywords
Average distances on self-similar sets and higher order average distances of self-similar measures
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DOI: 10.1007/s00209-016-1826-3
Abstract: The purpose of this paper is twofold: (1) we study different notions of the average distance between two points of a self-similar subset of $${\mathbb {R}}$$R, and (2) we investigate the asymptotic behaviour of higher… read more here.
Keywords: self similar; higher order; distances self; similar measures ... See more keywords
On self-similar Lie algebras and virtual endomorphisms
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DOI: 10.1007/s00209-018-2146-6
Abstract: We introduce the notion of virtual endomorphisms of Lie algebras and use it as an approach for constructing self-similarity of Lie algebras. This is done in particular for a class of metabelian Lie algebras having… read more here.
Keywords: self similar; lie; virtual endomorphisms; lie algebras ... See more keywords
Finite type in measure sense for self-similar sets with overlaps
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DOI: 10.1007/s00209-020-02632-3
Abstract: For self-similar sets with overlaps, we introduce a notion named the finite type in measure sense and reveal its intrinsic relationships with the weak separation condition and the generalized finite type. read more here.
Keywords: finite type; self similar; similar sets; measure sense ... See more keywords
Dynamic collapse of metal self-similar hierarchical corrugated sandwich plates
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DOI: 10.1007/s00707-018-2342-9
Abstract: The dynamic collapse response of metal self-similar hierarchical corrugated sandwich plates is analyzed. The analytical model is derived for the reaction forces of the top and bottom face sheets. Finite element analysis is conducted to… read more here.
Keywords: self similar; dynamic collapse; hierarchical corrugated; similar hierarchical ... See more keywords
Isolation and Connectivity in Random Geometric Graphs with Self-similar Intensity Measures
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DOI: 10.1007/s10955-018-2059-0
Abstract: Random geometric graphs consist of randomly distributed nodes (points), with pairs of nodes within a given mutual distance linked. In the usual model the distribution of nodes is uniform on a square, and in the… read more here.
Keywords: isolation connectivity; self similar; connectivity; random geometric ... See more keywords
Extinction Time of Non-Markovian Self-Similar Processes, Persistence, Annihilation of Jumps and the Fréchet Distribution
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DOI: 10.1007/s10955-019-02279-3
Abstract: We start by providing an explicit characterization and analytical properties, including the persistence phenomena, of the distribution of the extinction time $$\mathbb {T}$$T of a class of non-Markovian self-similar stochastic processes with two-sided jumps that… read more here.
Keywords: self similar; non markovian; markovian self; extinction time ... See more keywords
Predictability and Scaling in a BTW Sandpile on a Self-similar Lattice
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DOI: 10.1007/s10955-021-02744-y
Abstract: This paper explores the predictability of a Bak–Tang–Wiesenfeld isotropic sandpile on a self-similar lattice, introducing an algorithm which predicts the occurrence of target events when the stress in the system crosses a critical level. The… read more here.
Keywords: sandpile self; self similar; similar lattice; lattice ... See more keywords
Lie group analysis and general forms of self-similar parabolic equations for fluid flow, heat and mass transfer of nanofluids
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DOI: 10.1007/s10973-018-7053-x
Abstract: On the basis of symmetry group analysis applied to fluid flow, heat and mass transfer equations for nanofluids in parabolic approximation, their symmetries (i.e., the Lie groups) were obtained. Using these groups, self-similar forms for… read more here.
Keywords: group analysis; self similar; analysis; fluid flow ... See more keywords
Optical absorber based on self-similar cylindrical element for detecting optical material
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DOI: 10.1007/s11082-020-2220-2
Abstract: In this paper, an optical absorber based is exploited on self-similar cylindrical for material detection in the infrared spectrum as a refractive index sensor. Two models are suggested and the effect of the gaps is… read more here.
Keywords: optical absorber; self similar; absorber based; material ... See more keywords