Journal•ISSN: 0430-3202
Annali Dell'universita' Di Ferrara
Springer Science+Business Media
About: Annali Dell'universita' Di Ferrara is an academic journal published by Springer Science+Business Media. The journal publishes majorly in the area(s): Algebraic geometry & Numerical analysis. It has an ISSN identifier of 0430-3202. Over the lifetime, 1138 publications have been published receiving 5757 citations. The journal is also known as: Annali dell'Università di Ferrara. Sezione sette: Scienze matematiche.
Topics: Algebraic geometry, Numerical analysis, Boundary value problem, Computer science, Uniqueness
Papers published on a yearly basis
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TL;DR: In this paper, the authors study the system of equations describing a stationary thermoconvective flow of a non-Newtonian fluid and prove the existence of a weak solution under general assumptions and the uniqueness under smallness conditions.
Abstract: We study the system of equations describing a stationary thermoconvective flow of a non-Newtonian fluid. We assume that the stress tensor S has the form $\displaystyle \mathbf{S}=-P\mathbf{I}+\left( \mu (\theta )+\tau (\theta ){|\mathbf{D(u)}|}^{p(\theta )-2}\right) {\mathbf{D(u)}}, $
where u is the vector velocity, P is the pressure, θ is the temperature and μ ,p and τ are the given coefficients depending on the temperature. D and I are respectively the rate of strain tensor and the unit tensor. We prove the existence of a weak solution under general assumptions and the uniqueness under smallness conditions. Keywords: Non-Newtonian fluids, Nonlinear thermal diffusion equations, Heat and mass transfer Mathematics Subject Classification (2000): 76A05, 76D07, 76E30, 35G15
325 citations
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TL;DR: In this paper, the Laplace Transform is used to find the solution of the integro-differential equations defined by means of derivatives of fractional order and their integrals with respect to the order of differentiation.
Abstract: The solution of differential equations of fractional order is generalized to the case when the fractional order derivatives are integrated with respect to the order of differentiation. The formal solution is found by means of the Laplace Transform. The solutions of the integro-differential equations, defined by means of derivatives of fractional order and of their integrals with respect to the order of differentiation, are also discussed in terms of filtering.
186 citations
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TL;DR: In this paper, the authors considered a free boundary problem for the one-dimensional isentropic motion with density-dependent viscosity and proved that there exists a unique weak solution globally in time, provided that β < 1/3.
Abstract: We consider a free boundary problem for the equation of the one-dimensional isentropic motion with density-dependent viscosity μ =b
ϱ
β, whereb and β are positive constants. We prove that there exists an unique weak solution globally in time, provided that β<1/3.
125 citations
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TL;DR: In this paper, the existence of locally Cohen-Macaulay curves in ℙk3 (k of any characteristic) is proved. But it is not known whether there exist any curves with anyd, pa satisfying this inequality.
Abstract: LetC be a curve contained in ℙk3 (k of any characteristic), which is locally Cohen-Macaulay, not contained in a plane and of degreed. We prove thatpa(C)≤≤((d−2)(d−3))/2. Moreover we show existence of curves with anyd, pa satisfying this inequality and we characterize those curves for which equality holds.
116 citations
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TL;DR: In this paper, it was shown that if a positive absolutely continous measure causes a special relative isoperimetric inequality to hold, then Dirichlet-type integrals of sufficiently smooth real-valued functions decrease under an appropriate equimeasurable rearrangement.
Abstract: We show that if a positive absolutely continous measure causes a special relative isoperimetric inequality to hold, then Dirichlet-type integrals of sufficiently smooth real-valued functions decrease under an appropriate equimeasurable rearrangement.
74 citations