Browsing NTNU Open by Author "Mæhlen, Ola Isaac Høgåsen"
Now showing items 1-5 of 5
-
On the Bifurcation Diagram of the Capillary–Gravity Whitham Equation
Ehrnstrom, Mats; Remonato, Filippo; Mæhlen, Ola Isaac Høgåsen; Johnson, Mathew A (Journal article, 2019)We study the bifurcation of periodic travelling waves of the capillary–gravity Whitham equation. This is a nonlinear pseudo-differential equation that combines the canonical shallow water nonlinearity with the exact ... -
One-sided Hölder regularity of global weak solutions of negative order dispersive equations
Mæhlen, Ola Isaac Høgåsen; Xue, Jun (Peer reviewed; Journal article, 2023)We prove global existence, uniqueness and stability of entropy solutions with initial data for a general family of negative order dispersive equations. These weak solutions are found to satisfy one-sided Hölder conditions ... -
Solitary waves for dispersive equations with inhomogeneous nonlinearities
Mæhlen, Ola Isaac Høgåsen (Master thesis, 2017)We prove existence of solitary-wave solutions to a class of pseudodifferential evolution equations with inhomogeneous nonlinearities in one spacial dimension, i.e. we prove existence of solutions of the form u(x-ct), where ... -
Solitary waves for weakly dispersive equations with inhomogeneous nonlinearities
Mæhlen, Ola Isaac Høgåsen (Peer reviewed; Journal article, 2020) -
Travelling and global-in-time solutions of water wave equations with mild and nonlocal dispersion
Mæhlen, Ola Isaac Høgåsen (Doctoral theses at NTNU;2021:308, Doctoral thesis, 2021)