Conveners
Contributed Talks: CS-1
- Michael Eden (University of Regensburg)
Contributed Talks: CS-2
- Malte Kampschulte (Charles University Prague)
Contributed Talks: CS-3
- Konstantinos Bessas (University of Pavia)
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Michael Eden (University of Regensburg)08/09/2026, 16:30Contributed Talks
We consider a coupled Stokes–reaction–diffusion system posed in a non-periodically perforated domain with solid spherical inclusions whose radii evolve according to a surface reaction law. In the critical scaling regime, where the inclusions have size of order (\e^3), we prove well-posedness of the microscopic problem using a contraction mapping argument. We then analyze the asymptotic...
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Lauro Silini08/09/2026, 17:00Contributed Talks
Self-similar shrinkers describe generic singularities of multiphase mean curvature flow at the parabolic scale. The classification of stable self-shrinkers, conjectured by Ilmanen, is a central step towards understanding global dynamics of generic flows. While the compact case of the circle is well understood at this point, classification of stable, non-compact shrinkers remains still...
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Bárbara Solange Ivaniszyn (Universidad Nacional del Litoral, Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET))08/09/2026, 17:30Contributed Talks
We present a spatial semi-discretization of mean curvature flow for surfaces with fixed boundaries. A key aspect of our approach is the formulation of suitable continuous and discrete spaces for the normal vector, along with an appropriate boundary condition. This allows us to provide a framework that successfully extends the convergence techniques for closed surfaces to the boundary case. We...
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Malte Kampschulte (Charles University Prague)09/09/2026, 10:30Contributed Talks
Consider the coupled system of rigid particles flowing inside a Navier-Stokes fluid. If one sends the number of particles to infinity while at the same time shrinking their size, then at the right scaling the expected limit is the Navier-Stokes-Vlasov system. Turning this formal limit into a rigorous proof however is still an open problem. The aim of this talk is to present some partial...
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Mr Nishant Ranwan (PhD scholar at School of Mathematics, IISER Thiruvananthapuram)09/09/2026, 11:00Contributed Talks
This talk presents the study on the finite element approximation of a fluid–structure interaction (FSI) problem. The FSI problem is governed by the incompressible Navier–Stokes equations and the equations of linear elasticity.
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We consider that both the fluid and solid subdomains are stationary. We incorporate the grad-div stabilization for the fluid part during the spatial discretization. In... -
Pierre Marie Ngougoue (University of Duisburg-Essen)09/09/2026, 11:30Contributed Talks
The interaction of a three-dimensional barotropic compressible fluid with a viscoelastic shell occupying part of the fluid boundary is considered. Local-in-time existence and uniqueness of strong solutions are established in a fully Eulerian framework based on a localised Hanzawa transform. In addition, blow-up criteria are derived, providing sufficient conditions for extending strong...
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Mario Bukal (University of Zagreb Faculty of Electrical Engineering and Computing)09/09/2026, 12:00Contributed Talks
Motivated by the problem of rigorously justifying reduced elastohydrodynamic models, which are commonly used in microfluidics, we study a fluid–plate interaction system and identify conditions guaranteeing uniform separation of the elastic plate from the opposing rigid boundary.
More precisely, we consider a three-dimensional incompressible viscous fluid governed by the Navier–Stokes...
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Dr Konstantinos Bessas (University of Pavia)09/09/2026, 14:00Contributed Talks
We establish a pointwise limit theorem for a broad class of parameter-dependent BMO-type seminorms as the parameter tends to zero. By introducing novel BMO-type seminorms, we provide a unified framework that extends several existing results and yields derivative-free characterizations of Sobolev-type spaces, both in the scalar and in the vector-valued setting.
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More precisely, for any open set... -
Amjad Saef09/09/2026, 14:30Contributed Talks
We study existence of solutions in the variational sense for a class of stochastic phase-field models describing moving boundary problems. The models consist of stochastic reaction-diffusion equations with singular diffusion forced by a phase-field. We investigate both the case of an independently evolving phase-field and of coupled phase-field evolution driven by a viscous Hamilton-Jacobi...
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Manisha Chowdhury (Otto-von-Guericke-University Magdeburg)09/09/2026, 15:00Contributed Talks
Surface flow problems have attracted considerable attention in recent years because of their broad applications in science and engineering. In this talk, we investigate the numerical approximation of the surface Stokes equations posed on a two-dimensional manifold embedded in three-dimensional space. The surface velocity is discretized using the nonconforming Crouzeix–Raviart finite element,...
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Giacomo Colombo (ETH Zürich)09/09/2026, 15:301Contributed Talks
The Stefan problem describes the evolution of phase transitions, such as ice melting into water. In this talk, we will discuss the fine structure of the singular set of the free boundary. More precisely, we recently proved that, outside an $(n-2)$-dimensional set, the singular part is contained in an $(n-1)$-dimensional manifold of class $C^\infty$. We will first describe this result and...
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Yuwei Hu (University of Campinas)Contributed Talks
Let $N>2$, $p\in \left(\frac{2N}{N+2},+\infty\right)$, and $\Omega$ be an open bounded domain in $\mathbb{R}^N$.
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We consider the minimum problem
$ \mathcal{J} (u) := \displaystyle\int_{\Omega } \left(\frac{1}{p}| \nabla u| ^p+\lambda_1\left(1-(u^+)^2\right)^2+\lambda_2u^+\right)\text{d}x\rightarrow \text{min} $
over a certain class $\mathcal{K}$, where ...