Blar i utgivelsesdato Doktorgradsavhandlinger (Fakultet for ingeniørvitenskap og teknologi)
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Atmospheric icing on wind turbines : Modeling and consequences for energy production
(Doctoral thesis; Doktorgradsavhandling, 2011) -
Control of rigid bodies : with applications to leader-follower spacecraft formations
(Doctoral thesis; Doktorgradsavhandling, 2012) -
Solutions to some problems related to Diophantine equation, power means and homogenization theory
(Doctoral thesis; Doktorgradsavhandling, 2017-05-19)This Ph.D. thesis consists of an introduction and 7 papers where we investigate the requirements for finding integer or rational solutions to a selection of Diophantine equations leading to problems connected to power means and homogenization. In Paper 1 we present a modern view of classic number theory in a historic context. In Paper 2 we introduce the Crossed Ladders Problem and present a proof ... -
Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs
(Doctoral thesis; Doktorgradsavhandling, 2018-12-05)The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of ...