Rainey Lyons

Research
<p>I am broadly interested in applied mathematics, but I have specific interests in mathematical modeling, differential equations, measure valued PDEs, numerical analysis, dynamical systems, optimization, etc. </p>
<p>I will gladly work on any interesting mathematical problem with applications to the natural sciences.</p>
Teaching
<p>I have taught the following courses:</p>
<ul>
<li>College Algebra (University of Louisiana at Lafayette (UL)),</li>
<li>Precalculus Algebra (UL),</li>
<li>Precalculus Trigonometry (UL),</li>
<li>Survey of Calculus (UL),</li>
<li>Elementary Linear Algebra (UL).</li>
</ul>
Collaboration
<p>My main collaborator at this time is <strong>Adrian Muntean</strong> here at Karlstad University. Some other collaborators include:</p>
<ul>
<li><strong>Sander Hille</strong> (Leiden University),</li>
<li><strong>Emilio N. M. Cirillo</strong> (Sapienza University of Rome),</li>
<li><strong>Andrea Muntean </strong>(Karlstad University),</li>
<li><strong>Azmy S. Ackleh</strong> (University of Louisiana at Lafayette),</li>
<li><strong>Nicolas Saintier</strong> (University of Buenos Aires),</li>
<li><strong>Annette M Ostling</strong> (University of Texas at Austin),</li>
<li><strong>Ursula Trigos-Raczkowski </strong> (University of Michigan).</li>
</ul>
Bio
<p>Originally from New Orleans, Louisiana, I attended the University of Louisiana at Lafayette for my Bachelor of Science in Mathematics (2016), Master's of Science in mathematics (2019), and Doctor of Philosophy in Mathematics (2021). </p>
Selected publications
<p><strong>R.Lyons</strong>, S. A. Muntean, E. N. M. Cirillo, , A. Muntean, A Continuum Model for Morphology Formation from Interacting Ternary Mixtures: Simulation Study of the Formation and Growth of Patterns, <a href="https://www.researchgate.net/publication/366485719_A_Continuum_Model_fo…;
<p>A. S. Ackleh, <strong>R. Lyons</strong>, and N. Saintier, Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures, <em>IMA Journal of Numerical Analysis</em>, 2022; <a data-google-interstitial="false" href="https://doi.org/10.1093/imanum/drac071">https://doi.org/10.1093/imanum/…;
<p>A. S. Ackleh, <strong>R. Lyons</strong>, and N. Saintier, Structured Coagulation-Fragmentation Equation in the Space of Radon Measures: Unifying Discrete and Continuous Models, <em>ESAIM: Mathematical Modelling and Numerical Analysis</em>, 2021;</p>
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<td>h<a href="https://doi.org/10.1051/m2an/2021061">ttps://doi.org/10.1051/m2an/20210…;
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