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	<title>Math Maicon Sonego &#8211; FAU DCN-AvH</title>
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	<description>Chair for Dynamics, Control, Machine Learning and Numerics -Alexander von Humboldt Professorship</description>
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		<title>Control of a Lotka-Volterra System with Weak Competition</title>
		<link>https://dcn.nat.fau.eu/control-of-a-lotka-volterra-system-with-weak-competition/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Fri, 04 Jul 2025 21:13:51 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Maicon Sonego]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=31409</guid>

					<description><![CDATA[&#160; Introduction The Lotka-Volterra model reflects real ecological interactions where species compete for limited resources, potentially leading to coexistence, dominance of one species, or extinction of another. Comprehending the mechanisms governing these systems can yield critical insights for developing strategies in ecological management and biodiversity conservation. In this post, we study the controllability of a [&#8230;]]]></description>
		
		
		
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		<title>Transition Layers in Elliptic Equations</title>
		<link>https://dcn.nat.fau.eu/transition-layers-in-elliptic-equations/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Wed, 17 Nov 2021 10:29:40 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Maicon Sonego]]></category>
		<category><![CDATA[Allen-Cahn equation]]></category>
		<category><![CDATA[degenerate problem]]></category>
		<category><![CDATA[elliptic problem]]></category>
		<category><![CDATA[equal-area condition]]></category>
		<category><![CDATA[Gamma-convergence]]></category>
		<category><![CDATA[interface formation]]></category>
		<category><![CDATA[internal transition layer]]></category>
		<category><![CDATA[semi-linear problem]]></category>
		<category><![CDATA[stability]]></category>
		<category><![CDATA[stable transition layer]]></category>
		<category><![CDATA[unbalanced case]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=12248</guid>

					<description><![CDATA[Transition Layers in Elliptic Equations &#160; Stable transition layers in an unbalanced bistable equation Consider the following semi-linear problem where are positive functions in ; is a positive parameter and We assume that the functions satisfy ; for all ; there is a sub-interval such that for and for all . The function is a [&#8230;]]]></description>
		
		
		
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