Annalisa Iuorio

Annalisa Iuorio
University of Vienna | UniWien · Fakultät für Mathematik

PhD
Postodoctoral researcher (FWF Hertha Firnberg Fellow) @ University of Vienna

About

17
Publications
1,624
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86
Citations
Introduction
My research interests lie in the application of mathematical techniques from dynamical systems and PDEs to the study of phenomena arising in applied fields such as biology, ecology, material science, and engineering.
Additional affiliations
November 2019 - present
Austrian Academy of Sciences (OeAW)
Position
  • PostDoc Position
Description
  • Postdoctoral researcher in the research group of Dr. Marie-Therese Wolfram
March 2017 - October 2019
TU Wien
Position
  • Manager
Description
  • Coordination of the Doctoral School "Dissipation and Dispersion in Nonlinear PDEs"; organisation of scientific program (conferences, schools, workshops, special courses, ...)
Education
January 2014 - January 2018
TU Wien
Field of study
  • Mathematics
April 2011 - May 2013
University of Naples Federico II
Field of study
  • Mathematics
September 2007 - March 2011
University of Naples Federico II
Field of study
  • Mathematics

Publications

Publications (17)
Preprint
Full-text available
A fundamental example of reaction-diffusion system exhibiting Turing type pattern formation is the Gierer-Meinhardt system, which reduces to the shadow Gierer-Meinhardt problem in a suitable singular limit. Thanks to its applicability in a large range of biological applications, this singularly perturbed problem has been widely studied in the last...
Article
Full-text available
A fundamental example of reaction–diffusion system exhibiting Turing type pattern formation is the Gierer-Meinhardt system, which reduces to the shadow Gierer-Meinhardt problem in a suitable singular limit. Thanks to its applicability in a large range of biological applications, this singularly perturbed problem has been widely studied in the last...
Article
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and outflow conditions at both the entrance and exit as well as the shape of the domain have a strong influence on the structure of stationary profiles, in particular on the...
Article
Full-text available
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to compare and contrast the different results by proposing a three-step process. First, one specifies the setting and restrictions of the differential equation problem to be...
Article
Plant autotoxicity has proved to play an essential role in the behaviour of local vegetation. We analyse a reaction–diffusion-ODE model describing the interactions between vegetation, water, and autotoxicity. The presence of autotoxicity is seen to induce movement and deformation of spot patterns in some parameter regimes, a phenomenon which does n...
Preprint
Full-text available
In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to compare and contrast the different results by proposing a three-step process. First, one specifies the setting and restrictions of the differential equation problem to be...
Preprint
Full-text available
In this paper, we investigate the stationary profiles of a convection-diffusion model for unidirectional pedestrian flows in domains with a single entrance and exit. The inflow and outflow conditions at both the entrance and exit as well as the shape of the domain have a strong influence on the structure of stationary profiles, in particular on the...
Preprint
Full-text available
Plant autotoxicity has proved to play an essential role in the behaviour of local vegetation. We analyse a reaction-diffusion-ODE model describing the interactions between vegetation, water, and autotoxicity. The presence of autotoxicity is seen to induce movement and deformation of spot patterns in some parameter regimes, a phenomenon which does n...
Article
Full-text available
Plant–soil feedback is recognized as a causal mechanism for the emergence of vegetation patterns of the same species especially when water is not a limiting resource (e.g. humid environments) (Cartenì et al. in J Theor Biol 313:153–161, 2012. https://doi.org/10.1016/j.jtbi.2012.08.008; Marasco et al. in Bull Math Biol 76(11):2866–2883, 2014. https:...
Preprint
Plant-soil feedback is recognized as a causal mechanism for the emergence of vegetation patterns of the same species especially when water is not a limiting resource (e.g. humid environments). Nevertheless, in the field, plants rarely grow in monoculture but compete with other plant species. In these cases, plant-soil feedback was shown to play a k...
Article
Full-text available
Micro-Electro Mechanical Systems (MEMS) are defined as very small structures that combine electrical and mechanical components on a common substrate. Here, the electrostatic-elastic case is considered, where an elastic membrane is allowed to deflect above a ground plate under the action of an electric potential, whose strength is proportional to a...
Preprint
Full-text available
Micro-Electro Mechanical Systems (MEMS) are defined as very small structures that combine electrical and mechanical components on a common substrate. Here, the electrostatic-elastic case is considered, where an elastic membrane is allowed to deflect above a ground plate under the action of an electric potential, whose strength is proportional to a...
Article
Full-text available
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence of an exponential attractor, and convergence to equilibria for two physically relevant classes of...
Article
Full-text available
We investigate a singularly perturbed, non-convex variational problem arising in materials science with a combination of geometrical and numerical methods. Our starting point is a work by Stefan M\"uller, where it is proven that the solutions of the variational problem are periodic and exhibit a complicated multi-scale structure. In order to get mo...
Article
Full-text available
Development of a comprehensive theory of the formation of vegetation patterns is still in progress. A prevailing view is to treat water availability as the main causal factor for the emergence of vegetation patterns. While successful in capturing the occurrence of multiple vegetation patterns in arid and semiarid regions, this hypothesis fails to e...
Article
Full-text available
The formation of vegetation patterns has been widely studied and discussed over the years and it has been related to two different mechanisms: depletion of water in the center of vegetation patches and production of toxicity by the decomposition of plant residues in soil. In this work we present a spatially explicit model that combines these two pr...

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