Browsing Department of Mathematics by Title
Now showing items 918-934 of 934
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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 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 ... -
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 ...