# Lectures, seminars and dissertations

* Dates within the next 7 days are marked by a star.

Tuukka Himanka

**Physics-Informed Neural Networks in Probabilistic Spatio-Temporal Modelling**

*** Today * ** Friday 01 March 2024, 14:15, M3 (M234)

Diplomityöesitelmä / Hakula

Wontae Kim

**Hölder regularity of the parabolic double phase equation**

*** ** Wednesday 06 March 2024, 10:15, M3 (M234)

Seminar on analysis and geometry

Aapo Laukkarinen

**Convex body domination and its applications to matrix-weighted norm inequalities**

Wednesday 13 March 2024, 10:15, M3 (M234)

Seminar on analysis and geometry

Jonas Tölle

**Nonlinear (stochastic) PDEs with singular diffusivity**

Wednesday 20 March 2024, 10:15, M3 (M234)

In this talk, we shall discuss properties of solutions to parabolic deterministic (and stochastic) partial differential equations with singular nonlinear divergence-type diffusivity with zero Dirichlet boundary conditions on a bounded Euclidean domain. As these kinds of equations usually lack good coercivity estimates in higher spatial dimensions, we choose to address the general well-posedness question by variational weak energy methods.
Examples include the (stochastic) singular $p$-Laplace equation, the multi-valued (stochastic) total variation flow and the (stochastic) curve shortening flow.
We shall present improved pathwise regularity results and decay estimates for a general class of singular divergence-type PDEs. We shall also address the stochastic case, where the equation is perturbed by additive Gaussian noise.
Based on joint works with Benjamin Gess (Leipzig and Bielefeld), Wei Liu (Xuzhou), Florian Seib (Berlin), and Wilhelm Stannat (Berlin).

Seminar on analysis and geometry

Lauri Särkiö

**TBA**

Wednesday 10 April 2024, 10:15, M3 (M234)

Seminar on analysis and geometry

Ivy Woo

**TBA**

Tuesday 16 April 2024, 15:15, M2 (M233)

ANTA Seminar / Hollanti et al.

Kim Myyryläinen

**TBA**

Wednesday 17 April 2024, 10:15, M3 (M234)

Seminar on analysis and geometry

Anna-Mariya Otsetova

**Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations**

Wednesday 24 April 2024, 10:15, M3 (M234)

Seminar on analysis and geometry

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