Browsing Department of Mathematics by Title
Now showing items 1033-1052 of 1053
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Vurdering for læring i matematikk - vurderingspraksis i 1YT i to klassar på elektrofag
(Master thesis, 2016-05-31)Denne oppgåva handlar om formativ vurdering i matematikk. I problemstillinga spør ein etter i kva grad kapittel- og lekseprøver i 1YT har ein formativ funksjon for elevar på elektrofag. Ein skil mellom formål og funksjon ... -
Water renewal in a threshold fjord: A simulation study of submerged fresh water discharge
(Master thesis, 2018-12-15)Threshold fjords are characterized by low concentrations of oxygen in the depths of the basin, caused by weak and/or infrequent exchange of the basin water. A three-dimensional ocean model, The Bergen Ocean Model (BOM), ... -
Wave breaking in KdV equations with higher nonlinearity
(Master thesis, 2023-05-31)The undular bore is a wave propagating in shallow water, often resulting from tidal forces that cause a slight change in the wave heights. Favre (1935) did a physical experiment where an undular bore was created and he ... -
Wave breaking in long wave models and undular bores
(Master thesis, 2015-12-18)Bores are a well known phenomena in fluid mechanics, although their occurrence in nature is relatively rare. The circumstances in which they occur is usually when a tidal swell causes a difference in surface elevation in ... -
Wave breaking in the BBM-equation
(Master thesis, 2019-04-02) -
Wave Breaking in Undular Bores with Shear Flows
(Journal article; Peer reviewed, 2021)It is well known that weak hydraulic jumps and bores develop a growing number of surface oscillations behind the bore front. Defining the bore strength as the ratio of the head of the undular bore to the undisturbed depth, ... -
Wave loads on ocean infrastructure increase as a result of waves passing over abrupt depth transitions
(Journal article; Peer reviewed, 2022)Abrupt changes in water depth are known to lead to abnormal free-surface wave statistics. The present study considers whether this translates into abnormal loads on offshore infrastructure. A fully non-linear numerical ... -
Wave response to an arbitrary motion of a load on an ice plate
(Master thesis, 2022-06-22) -
Waves generated by moving loads on ice plates: Viscoelastic approximations
(Journal article; Peer reviewed, 2022)The paper investigates waves generated by the moving loads on ice plates floating on an incompressible fluid. Two different viscoelastic approximations are considered for the ice cover: A model depending on the strain-relaxation ... -
Weak solutions and convergent numerical schemes of Brenner-Navier-Stokes equations
(Research report, 2015-01-20)Lately, there has been some interest in modifications of the compressible Navier-Stokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1-D Navier-Stokes ... -
The weight spectrum of two families of Reed-Muller codes
(Journal article; Peer reviewed, 2023)We determine the weight spectra of the Reed-Muller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ... -
Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap
(Journal article; Peer reviewed, 2021)In this work, we show the underlying mathematical structure of mixed-dimensional models arising from the composition of graphs and continuous domains. Such models are becoming popular in applications, in particular, to ... -
Well-Posedness for a Dispersive System of the Whitham-Boussinesq Type
(Journal article; Peer reviewed, 2020)We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive ... -
Well-Posedness for a Whitham–Boussinesq System with Surface Tension
(Journal article; Peer reviewed, 2020)We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal dispersive perturbation of the shallow ... -
Well-posedness Issues for Nonlinear Partial Differential Equations Appearing in the Modeling of Long Water Waves
(Doctoral thesis, 2018-12-18)Modelling of wave motion in a fluid is usually based on classical systems which are obtained by the hypotheses that the flow is irrotational and the bottom is even. In such a context, the influence of vorticity is entirely ... -
Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
(Peer reviewed; Journal article, 2019-03)This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static poroelastic model (also known as Biot's ... -
What is quantitative plant biology?
(Journal article; Peer reviewed, 2021)Quantitative plant biology is an interdisciplinary field that builds on a long history of biomathematics and biophysics. Today, thanks to high spatiotemporal resolution tools and computational modelling, it sets a new ... -
The Whitham Equation as a model for surface water waves
(Peer reviewed; Journal article, 2015-08)The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ... -
Who benefits from postponement in multi-period supply channel optimization?
(Journal article; Peer reviewed, 2024)Duopolistic price-setting supply channels competing in a bilevel framework have been extensively studied in single-period (static) settings. However, such supply channels typically face uncertain and time-varying demand; ... -
Zero-shot classification of salmon lice images by siamese neural networks
(Master thesis, 2023-06-22)Deep learning models, such as neural networks and its variations, have proven exceptionally useful in the current state of society. However, facilitating competitive performances requires large amounts of data for the ...