Blar i Institutt for matematiske fag på tidsskrift "Archive for Rational Mechanics and Analysis"
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Existence of a Highest Wave in a Fully Dispersive Two-Way Shallow Water Model
(Journal article; Peer reviewed, 2018)We consider the existence of periodic traveling waves in a bidirectional Whitham equation, combining the full two-way dispersion relation from the incompressible Euler equations with a canonical shallow water nonlinearity. ... -
Non-existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier–Stokes Equations
(Journal article; Peer reviewed, 2018)The well-posedness of classical solutions with finite energy to the compressible Navier–Stokes equations (CNS) subject to arbitrarily large and smooth initial data is a challenging problem. In the case when the fluid density ... -
The Transmission Problem on a Three-Dimensional Wedge
(Peer reviewed; Journal article, 2019)We consider the transmission problem for the Laplace equation on an infinite three-dimensional wedge, determining the complex parameters for which the problem is well-posed, and characterizing the infinite multiplicity ... -
Trimodal Steady Water Waves
(Journal article, 2014)We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave ...