Bakgrunn og aktiviteter

Main field: Nonlinear partial differential equations arising in fluid mechanics.

Most works on the Euler equations concern travelling waves upon rotational currents, with critical layers. My current focus is mainly on fully — or very weakly — dispersive nonlinear equations of nonlocal type, such as the Whitham equation and its siblings. Here, questions about the existence and regularity of so-called highest waves, solitary waves, as well as existence times in the evolutionary problem are particularly intriguing.

Current research group

Mathias Nikolai Arnesen (Postdoc), Hung Le (Postdoc), Yuya Suzuki (Postdoc), Kristoffer Varholm (Postdoc), Fredrik Hildrum (PhD), Ola Isaac Høgåsen Mæhlen (PhD), Jun Xue (PhD).

Current projects and programmes

I am a member of the The Royal Norwegian Society of Sciences and Letters. CV available for download above.

Preprints and online first

  • M. Ehrnström,S. Walsh and C. Zeng. Smooth stationary water waves with exponentially localized vorticity. Accepted for publication in J.Eur. Math. Soc. (JEMS). 40 pages. arxiv:1907.07335
  • M. Ehrnström, M. A. Johnson, O. I. H. Maehlen, F. Remonato. On the bifurcation diagram of the capillary-gravity Whitham equation. Accepted for Publication in Water Waves (2019). 38 pages. arxiv:1901.03534

 

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