Blar i Department of Mathematics på forfatter "Paulsen, Martin Oen"
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Admissibility conditions for Riemann data in shallow water theory
Paulsen, Martin Oen; Kalisch, Henrik (Journal article; Peer reviewed, 2020)Consideration is given to the shallow-water equations, a hyperbolic system modeling the propagation of long waves at the surface of an incompressible inviscible fluid of constant depth. It is well known that the solution ... -
Long time well-posedness of Whitham-Boussinesq systems
Paulsen, Martin Oen (Journal article; Peer reviewed, 2022)Consideration is given to three different full dispersion Boussinesq systems arising as asymptotic models in the bi-directional propagation of weakly nonlinear surface waves in shallow water. We prove that, under a ... -
A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling
Paulsen, Martin Oen; Kalisch, Henrik (Journal article; Peer reviewed, 2021)In this article, we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg–de Vries (KdV) equation. These quantities can be used to describe the shoaling of cnoidal waves ... -
Rigorous derivation of some asymptotic models for free water surfaces and interfaces
Paulsen, Martin Oen (Doctoral thesis, 2024-04-26)Opprinnelsen til moderne matematisk hydrodynamikk kan spores tilbake til 1700-tallet. I 1757 publiserte Euler artikkelen der han introduserte ligninger, i dag kjent som Euler likningene, som kan beskrive væskedynamikk [31]. ...