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	<title>Math Enrique Zuazua &#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>Math Enrique Zuazua &#8211; FAU DCN-AvH</title>
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		<title>A domain decomposition framework for coupling physics-based and data-driven models in multi-physics problems</title>
		<link>https://dcn.nat.fau.eu/a-domain-decomposition-framework-for-coupling-physics-based-and-data-driven-models-in-multi-physics-problems/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Mon, 18 Aug 2025 18:41:38 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Giulia Sambataro]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=31568</guid>

					<description><![CDATA[&#160; Multi-physics problems, involving coupled phenomena such as fluid mechanics, thermodynamics, and chemistry, are common in science and engineering. These problems often involve distinct governing equations (e.g., Navier–Stokes, elasticity, diffusion) and specialized solvers, making monolithic solutions computationally prohibitive. Domain decomposition (DD) offers an effective strategy by partitioning the domain into subregions with localized models, which [&#8230;]]]></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>pyGasControls library (simulation software)</title>
		<link>https://dcn.nat.fau.eu/pygascontrols-library-simulation-software/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Mon, 03 Jan 2022 21:00:06 +0000</pubDate>
				<category><![CDATA[EZuazua]]></category>
		<category><![CDATA[Hub]]></category>
		<category><![CDATA[Hub Aleksey Sikstel]]></category>
		<category><![CDATA[Hub Enrique Zuazua]]></category>
		<category><![CDATA[Hub Martin Gugat]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Aleksey Sikstel]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=14355</guid>

					<description><![CDATA[Martin Gugat, Enrique Zuazua, Aleksey Sikstel, FAU DCN-AvH Code:   [HINT] To run the software on your computer, you may have to install additional standard software packages (like cmake and a c++ compiler) and additional libraries (lapack, PETSc). &#160; In order to optimize the operation of gas transportation networks, as a first step a powerful [&#8230;]]]></description>
		
		
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		<title>Control of Advection-Diffusion Equations on Networks and Singular Limits</title>
		<link>https://dcn.nat.fau.eu/control-of-advection-diffusion-equations-on-networks-and-singular-limits/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Wed, 30 Jun 2021 20:34:28 +0000</pubDate>
				<category><![CDATA[EZuazua]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Jon Asier Barcena]]></category>
		<category><![CDATA[Math Nicola de Nitti]]></category>
		<category><![CDATA[advection-diffusion equations]]></category>
		<category><![CDATA[Controllability]]></category>
		<category><![CDATA[cost of controllability]]></category>
		<category><![CDATA[network]]></category>
		<category><![CDATA[singular limits]]></category>
		<category><![CDATA[vanishing viscosity]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=6959</guid>

					<description><![CDATA[Control of Advection-Diffusion Equations on Networks and Singular Limits Jon Asier Bárcena-Petisco, Márcio Cavalcante, Giuseppe Maria Coclite, Nicola de Nitti and Enrique Zuazua Introduction In the past few decades, models based on partial differential equations have been very effective in tackling many problems dealing with flows on networks (e.g. irrigation channels, gas pipelines, blood circulation, [&#8230;]]]></description>
		
		
		
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		<title>Averaged dynamics and control for heat equations with random diffusion</title>
		<link>https://dcn.nat.fau.eu/averaged-dynamics-and-control-for-heat-equations-with-random-diffusion/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Mon, 11 Jan 2021 11:05:01 +0000</pubDate>
				<category><![CDATA[EZuazua]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Jon Asier Barcena]]></category>
		<category><![CDATA[Averaged controllability]]></category>
		<category><![CDATA[averaged observability]]></category>
		<category><![CDATA[observability]]></category>
		<category><![CDATA[random heat equation]]></category>
		<guid isPermaLink="false">https://www.dcn.nat.fau.eu/?p=2007</guid>

					<description><![CDATA[Averaged dynamics and control for heat equations with random diffusion Jon Asier Bárcena Petisco, Enrique Zuazua Background and motivation Let us consider the random heat equation described by the following system: for a domain, a subdomain, a control, the initial configuration and the diffusivity coefficient, which is a positive random variable with density function . [&#8230;]]]></description>
		
		
		
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		<title>Inverse Design for Hamilton-Jacobi Equations</title>
		<link>https://dcn.nat.fau.eu/inverse-design-for-hamilton-jacobi-equations/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Mon, 14 Sep 2020 18:59:02 +0000</pubDate>
				<category><![CDATA[EZuazua]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Carlos Esteve]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<guid isPermaLink="false">https://caa-avh.webspace.rrze.fau.de/?p=470</guid>

					<description><![CDATA[Inverse Design For Hamilton-Jacobi Equations Carlos Esteve Yagüe, Enrique Zuazua, DeustoCCM, FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg In many evolution models, the reconstruction of the initial state given an observation of the system at time represents a major challenge in mathematical modelling. Especially if it involves irreversible processes, where sometimes, different initial conditions can lead the system [&#8230;]]]></description>
		
		
		
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		<title>Flows on Networks</title>
		<link>https://dcn.nat.fau.eu/flows-on-networks/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Thu, 09 Jul 2020 18:49:12 +0000</pubDate>
				<category><![CDATA[EZuazua]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Nicola de Nitti]]></category>
		<guid isPermaLink="false">https://caa-avh.webspace.rrze.fau.de/?p=462</guid>

					<description><![CDATA[Flows on Networks Enrique Zuazua, Nicola de Nitti, FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg &#160; PDE models on Networks In the last few decades, models based on partial differential equations have been very effective in tackling many applied problems dealing with flows on networks. The areas of application include mainly the study of vehicular traffic, supply chains, [&#8230;]]]></description>
		
		
		
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