Blar i utgivelsesdato Artikler, rapporter og annet (datateknologi og beregningsorienterte ingeniørfag)
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Some sharp inequalities for integral operators with homogeneous kernel
(Peer reviewed, 20160409)One goal of this paper is to show that a big number of inequalities for functions in Lp(R+), p ≥ 1, proved from time to time in journal publications are particular cases of some known general results for integral operators with homogeneous kernels including, in particular, the statements on sharp constants. Some new results are also included, e.g. the similar general equivalence result is proved and ... 
Numerical simulation of the dynamic response in pulseloaded fibre–metallaminated plates
(Journal article; Tidsskriftartikkel; Peer reviewed, 20160727)This article presents a threedimensional constitutive model to replicate the dynamic response of blastloaded fibre–metal laminates made of 20240 aluminium alloy and woven composite (glass fibre–reinforced polypropylene). Simulation of the dynamic response is challenging when extreme localised loads are of concern and requires reliable material constitutive models as well as accurate modelling ... 
Osmosis for nonelectrolyte solvents in permeable periodic porous media
(Peer reviewed, 201608)The paper gives a rigorous description, based on mathematical homogenization theory, for flows of solvents with not charged solute particles under osmotic pressure for periodic porous media permeable for solute particles. The effective Darcy type equations for the flow under osmotic pressure distributed within the porous media are derived. The effective Darcy law contains an additional flux term ... 
Some new Hardytype inequalities in qanalysis
(Peer reviewed, 201609)We derive necessary and sufficient conditions (of MuckenhouptBradley type) for the validity of q analogs of (r, p) weighted Hardytype inequalities for all possible positive values of the parameters r and p . We also point out some possibilities to further develop the theory of Hardytype inequalities in this new direction. 
Weighted Hardy type inequalities for supremum operators on the cones of monotone functions
(Peer reviewed, 20160928)The complete characterization of the weighted L<sup>p</sup>L<sup>r</sup> inequalities of supremum operators on the cones of monotone functions for all 0 < p, r≤∞ is given. 
Sharp HpLp type inequalities of weighted maximal operators of VilenkinNörlund means and its applications
(Peer reviewed, 20161001)We prove and discuss some new HpLp type inequalities of weighted maximal operators of VilenkinNörlund means with monotone coefficients. It is also proved that these inequalities are the best possible in a special sense. We also apply these results to prove strong summability for such VilenkinNörlund means. As applications, both some wellknown and new results are pointed out. 
Study of Ice Adhesion Behavior of SK One Component Polyurethane
(Conference object; Konferansebidrag, 201612)Ice adhesion causes many serious problems such as aircraft accidents, navigational issues on ships, and power loss on wind turbines. These challenges are mainly associated with the acute behavior of ice adhesion. The ice adheres when water seeps into the microscopic pores of the material substrate and freezes, thereby, forming an interlocking mechanism. Therefore, surface roughness has a significant ... 
Resolvent bounds for jump generators
(Journal article; Peer reviewed; Tidsskriftartikkel, 20161202)The paper deals with jump generators with a convolution kernel. Assuming that the kernel decays either exponentially or polynomially, we prove a number of lower and upper bounds for the resolvent of such operators. In particular we focus on sharp estimates of the resolvent kernel for small values of the spectral parameter. We consider two applications of these results. First we obtain pointwise ... 
Study of Acoustics Properties of SK One Component Polyurethane and its Application in Arctic Marine Structures
(Conference object; Konferansebidrag, 20161208)Marine noise reduction tends to be challenging and requires a comprehensive engineering approach. The soundproofing materials for marine noise reduction are usually exposed to high temperatures, potential fluid or oil spills, engine maintenance and a high airflow environment. This work looks into the acoustic proofing properties of a nontoxic material ‘SK One Component Polyurethane’ developed by ... 
Thermal Properties of SK One Component Polyurethane using Experiments and Multiphysics Simulations
(Conference object; Konferansebidrag, 20161208)This study proposes to determine the thermal conductivity of SK One Component Polyurethane (SKOCP) developed by China Institute of Water Resources & Hydropower Research Beijing IWHRKHL Co. Ltd. SKOCP provides excellent proof of aging and chemical resistance of this material. It is nontoxic, acts as a good antiseepage, offers antiabrasion and good antifreezing performance. In addition, it has ... 
Boundedness and compactness of a class of Hardy type operators
(Journal article; Tidsskriftartikkel; Peer reviewed, 20161213)We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the RiemannLiouville, Hadamard, and ErdelyiKober operators. In particular, these results imply new results in the theory of Hardy type inequalities. As applications both new and wellknown results are pointed out. 
Periodic homogenization of nonlocal operators with a convolutiontype kernel
(Journal article; Peer reviewed; Tidsskriftartikkel, 2017)The paper deals with a homogenization problem for a nonlocal linear operator with a kernel of convolution type in a medium with a periodic structure. We consider the natural diﬀusive scaling of this operator and study the limit behavior of the rescaled operators as the scaling parameter tends to 0. More precisely we show that in the topology of resolvent convergence the family of rescaled operators ... 
Homogenization of biomechanical models for plant tissues
(Journal article; Peer reviewed; Tidsskriftartikkel, 2017)In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reactiondiffusionconvection equations for chemical processes in plant cells, the equations of poroelasticity for elastic deformations of plant cell walls and middle lamella, and Stokes equations for fluid flow inside the cells. The chemical ... 
Economic evaluation of the Power grid tariff for households With solar Power installed
(Journal article; Peer reviewed; Tidsskriftartikkel, 2017)This paper focuses on alternative grid tariffs for household customers with roof top PVpanels ("prosumers"), and evaluates how alternative grid tariffs might affect the benefit from investing in a roof top PVpanel. The paper further shows how different orientations of the PVpanels can affect the benefits for the prosumers subjected to different grid tariffs (for example a power grid tariff), where ... 
Some new TwoSided Inequalities concerning the Fourier Transform
(Journal article; Peer reviewed; Tidsskriftartikkel, 2017)The classical HausdorffYoung and HardyLittlewoodStein inequalities do not hold for p > 2. In this paper we prove that if we restrict to net spaces we can even derive a twosided estimate for all p > 1. In particular, this result generalizes a recent result by Liflyand E. and Tikhonov S. [7] (MR 2464253). 
Twoscale convergence in thin domains with locally periodic rapidly oscillating boundary
(Journal article; Tidsskriftartikkel; Peer reviewed, 2017)The aim of this paper is to adapt the notion of twoscale convergence in Lp to the case of a measure converging to a singular one. We present a speciﬁc case when a thin cylinder with locally periodic rapidly oscillating boundary shrinks to a segment, and the corresponding measure charging the cylinder converges to a onedimensional Lebegues measure of an interval. Themethod is then applied to the ... 
Additive weighted Lp estimates of some classes of integral operators involving generalized Oinarov kernels
(Journal article; Peer reviewed; Tidsskriftartikkel, 2017) 
Lagrangian and ALE Formulations For Soil Structure Coupling with Explosive Detonation
(Journal article; Tidsskriftartikkel; Peer reviewed, 2017)Simulation of SoilStructure Interaction becomes more and more the focus of computational engineering in civil and mechanical engineering, where FEM (Finite element Methods) for soil and structural mechanics and Finite Volume for CFD (Computational Fluid Dynamics) are dominant. New advanced formulations have been developed for FSI (Fluid Structure Interaction) applications using ALE (Arbitrary ... 
Potential type operators in PDEs and their applications
(Journal article; Peer reviewed; Tidsskriftartikkel, 201701)We prove the boundedness of Potential operator in weighted generalized Morrey space in terms of MatuszewskaOrlicz indices of weights and apply this result to the Hemholtz equation in ℝ<sup>3</sup> with a free term in such a space. We also give a short overview of some typical situations when Potential type operators arise when solving PDEs. 
Twosided estimates of the Lebesgue constants with respect to Vilenkin systems and applications
(Journal article; Peer reviewed; Tidsskriftartikkel, 20170313)In this paper, we derive twosided estimates of the Lebesgue constants for bounded Vilenkin systems, we also present some applications of importance, e.g., we obtain a characterization for the boundedness of a subsequence of partial sums with respect to Vilenkin–Fourier series of H 1 martingales in terms of n's variation. The conditions given in this paper are in a sense necessary and sufficient.