Conveners
PDEs
- Sara Merino-Aceituno
PDEs
- Mechthild Thalhammer
PDEs
- Eva Kopecka
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Sara Xhahysa (TU Wien)26/02/2026, 14:15Contributed Talk
Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The equations include Maxwell--Stefan, tumor-growth, thin-film solar cell models as well as novel volume-filling population systems. The Boltzmann and Rao entropy...
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Teresa Rauscher (University of Graz)26/02/2026, 14:35Contributed Talk
Contrast-enhanced ultrasound is a valuable tool in biomedical applications, using gas-filled microbubbles to enhance both diagnostic and therapeutic imaging. Once injected, microbubbles oscillate nonlinearly in response to ultrasound waves, making sound propagation through bubbly liquids a highly nonlinear problem. This behavior is modeled by a nonlinear acoustic wave equation coupled with...
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Thuy Le Thi (Electric Power University)26/02/2026, 14:55Contributed Talk
Degenerate parabolic equations arise in a variety of models in which diffusion vanishes or weakens in certain regions, thereby giving rise to substantial analytical difficulties. In particular, degeneracy strongly affects compactness and dissipative properties, which play a crucial role in the study of long-time dynamics and asymptotic behavior.
In this talk, we focus on a class of...
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Tamari Kldiashvili (University of Graz)27/02/2026, 09:30Contributed Talk
Flocking is a form of collective behavior commonly observed in nature, particularly among birds and fish. We focus on the Motsch-Tadmor particle model
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for birds flocking, which differs from the classical Cucker-Smale model due
to its use of a relative influence term which introduce an asymmetry in the
interactions. While mean field limit has been rigorously established for the
Cucker-Smale... -
Mariia Filipkovska (B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine)27/02/2026, 09:50Contributed Talk
This talk presents an approach to the qualitative analysis of differential-algebraic equations (DAEs) and partial differential equations (PDEs) presented in the form of abstract differential-algebraic equations (ADAEs) with the regular characteristic pencils of arbitrarily high indices. We will deal with the ADAE of the form $\frac{d}{dt}[Ax]+Bx=f(t,x)$, where $A$ and $B$ are closed linear...
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Laura Kanzler (CNRS Paris)27/02/2026, 10:10Invited Talk
Aquatic ecosystems are shaped by countless interactions between individual organisms - but how do these microscopic encounters scale up to the large-scale patterns we observe in nature? How sensitive are these systems to human influence? Since the 1960s, research has revealed that body size plays a central role in structuring aquatic food webs, acting as a “master trait” that governs how...
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Nesibe Ayhan27/02/2026, 10:10Contributed Talk
The classical Camassa-Holm (CH) equation is used to describe dynamics of shallow water waves, and features interesting behavior such as solitons or wave breaking. The study of CH has been extensively investigated in the literature. In this talk, we consider a generalized version of CH where the momentum can be of arbitrarily high order and the nonlinearity can be of any polynomial order. More...
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