PUMA publications for /user/mhartmann/Pattern%20solutionhttps://puma.ub.uni-stuttgart.de/user/mhartmann/Pattern%20solutionPUMA RSS feed for /user/mhartmann/Pattern%20solution2026-04-23T03:04:59+02:00A weak solution approach to a reaction--diffusion system modeling
pattern formation on seashellshttps://puma.ub.uni-stuttgart.de/bibtex/21012825ed1ef9d03d4f860e87a435b62/mhartmannmhartmann2018-07-20T10:54:15+02:00equations, formation, global pattern reaction--diffusion solution vorlaeufig weak <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Jan Kelkel" itemprop="url" href="/person/1238011336a3e7e95eec6ac89a22367c8/author/0"><span itemprop="name">J. Kelkel</span></a></span>, </span> und <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christina Surulescu" itemprop="url" href="/person/1238011336a3e7e95eec6ac89a22367c8/author/1"><span itemprop="name">C. Surulescu</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Mathematical Methods in the Applied Sciences</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">32 </span></span>(<span itemprop="issueNumber">17</span>):
<span itemprop="pagination">2267--2286</span></em> </span>(<em><span>2009<meta content="2009" itemprop="datePublished"/></span></em>)</span>Fri Jul 20 10:54:15 CEST 2018Mathematical Methods in the Applied Sciences172267--2286A weak solution approach to a reaction--diffusion system modeling
pattern formation on seashells322009equations, formation, global pattern reaction--diffusion solution vorlaeufig weak We investigate a reaction--diffusion system proposed by H. Meinhardt
as a model for pattern formation on seashells. We give a new proof
for the existence of a local weak solution for general initial conditions
and parameters upon using an iterative approach. Furthermore, the
solution is shown to exist globally for suitable initial data. The
behavior of the solution in time and space is illustrated through
numerical simulations. Copyright � 2009 John Wiley \& Sons, Ltd.