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Joel-Dahne committed Sep 4, 2023
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5 changes: 2 additions & 3 deletions index.html
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<!DOCTYPE html>
<html lang=""><head>
<meta name="generator" content="Hugo 0.116.1">
<meta name="generator" content="Hugo 0.118.2">
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no">

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<p>I&rsquo;m a PhD student in mathematics at Uppsala University under the
supervision of Jordi-Lluís Figueras (Uppsala University), Javier Gómez
Serrano (Brown University and Universitat de Barcelona) and Warwick
Tucker (Monash University).</p>
Serrano (Brown University) and Warwick Tucker (Monash University).</p>
<p>My research interests include fluid mechanics, spectral geometry,
computer algebra and computer assisted proofs.</p>
<p>Contact: <a href="mailto:[email protected]">[email protected]</a></p>
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<pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>

<guid>https://dahne.eu/publications/</guid>
<description>Highest Cusped Waves for the Burgers-Hilbert Equation
<description>Highest Cusped Waves for the Fractional KdV Equations
Preprint (2023) [arXiv]
Highest Cusped Waves for the Burgers-Hilbert Equation
With J. Gómez-Serrano
Archive for Rational Mechanics and Analysis, 247, 5 (2023). [arXiv] [DOI]
A counterexample to Payne&amp;rsquo;s nodal line conjecture with few holes
With J. Gómez-Serrano and K. Hou.
Communications in Nonlinear Science and Numerical Simulation, 103, 105957 (2021).
Special Issue &amp;ldquo;Computer Assisted Proofs in Dynamical Systems&amp;rdquo;. [arXiv] [DOI]
Computation of tight enclosures for laplacian eigenvalues
With B. Salvy.
SIAM Journal on Scientific Computing, 42(5), 3210–3232 (2020).</description>
Computation of tight enclosures for laplacian eigenvalues</description>
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<div class="container">
<ol>
<li>
<p><a href="https://arxiv.org/abs/2308.16579">Highest Cusped Waves for the Fractional KdV Equations</a></p>
<p>Preprint (2023) [<a href="https://arxiv.org/abs/2308.16579">arXiv</a>]</p>
</li>
<li>
<p><a href="https://doi.org/10.1007/s00205-023-01904-6">Highest Cusped Waves for the Burgers-Hilbert
Equation</a></p>
<p>With J. Gómez-Serrano</p>
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103(), 105957.</p>
<h1 id="burgershilbertwavejlhttpsgithubcomjoel-dahneburgershilbertwavejl"><a href="https://github.com/Joel-Dahne/BurgersHilbertWave.jl">BurgersHilbertWave.jl</a></h1>
<p>The computer assisted proof accompanying the paper</p>
<p>Dahne, J., Gómez-Serrano, J., Highest Cusped Waves for the
Burgers-Hilbert equation (2022)</p>
<p>Dahne, J. &amp; Gómez-Serrano J. (2023). Highest Cusped Waves for the
Burgers-Hilbert Equation. Archive for Rational Mechanics and Analysis,
247(5).</p>
<h1 id="highestcuspedwavejlhttpsgithubcomjoel-dahnehighestcuspedwavejl"><a href="https://github.com/Joel-Dahne/HighestCuspedWave.jl">HighestCuspedWave.jl</a></h1>
<p>The computer assisted proof accompanying the paper</p>
<p>Dahne, J. (2023). Highest Cusped Waves for the Fractional KdV
Equations.</p>

</div>

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