Browsing Department of Mathematics by Title
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Water renewal in a threshold fjord: A simulation study of submerged fresh water discharge
(Master thesis, 20181215)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 threedimensional ocean model, The Bergen Ocean Model (BOM), ... 
Wave breaking in long wave models and undular bores
(Master thesis, 20151218)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 BBMequation
(Master thesis, 20190402) 
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 freesurface wave statistics. The present study considers whether this translates into abnormal loads on offshore infrastructure. A fully nonlinear numerical ... 
Wave response to an arbitrary motion of a load on an ice plate
(Master thesis, 20220622) 
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 strainrelaxation ... 
Weak solutions and convergent numerical schemes of BrennerNavierStokes equations
(Research report, 20150120)Lately, there has been some interest in modifications of the compressible NavierStokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1D NavierStokes ... 
Wellposedness and discretization for a class of models for mixeddimensional problems with highdimensional gap
(Journal article; Peer reviewed, 2021)In this work, we show the underlying mathematical structure of mixeddimensional models arising from the composition of graphs and continuous domains. Such models are becoming popular in applications, in particular, to ... 
WellPosedness for a Dispersive System of the WhithamBoussinesq Type
(Journal article; Peer reviewed, 2020)We regard the Cauchy problem for a particular WhithamBoussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in wellposedness at a very low level of regularity. We derive ... 
WellPosedness 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 ... 
Wellposedness Issues for Nonlinear Partial Differential Equations Appearing in the Modeling of Long Water Waves
(Doctoral thesis, 20181218)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 ... 
Wellposedness of the fully coupled quasistatic thermoporoelastic equations with nonlinear convective transport
(Peer reviewed; Journal article, 201903)This paper is concerned with the analysis of the quasistatic thermoporoelastic model. This model is nonlinear and includes thermal effects compared to the classical quasistatic 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, 201508)The Whitham equation was proposed as an alternate model equation for the simplified description of unidirectional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ... 
Å omsetje mellom mellom ulike representasjonar av funksjonar. Ei kvalitativ undersøking av elevar sine løysingsstrategiar i matematikkfaget 1P.
(Master thesis, 2018)I denne studien har løysingsstrategiar for å omsetje mellom ulike representasjonar av lineære funksjonar vore i fokus. Følgande forskingsspørsmål har vore grunnlag for arbeidet: 1. Kva løysingsstrategiar brukar elevar i ...