Transforming the World

through Mathematics

Thematic Einstein Semester on

Energy-based mathematical methods for reactive multiphase flows

Winter Semester 2020/21


Volker Mehrmann (TU Berlin)
Alexander Mielke (HU Berlin / WIAS)
Dirk Peschka (WIAS)
Marita Thomas (WIAS)
Barbara Wagner (TU Berlin / WIAS)


In the course of the current COVID-19 situation, we have decided to take some precautions and organize the semester program online. In particular, it will be possible to present and attend the lectures of the kick-off conference via an online platform, where we strive to making interactive discussions as engaging as possible.

The semester is organized within the framework of the Berlin Mathematics Research Center Math+ and supported by the Einstein Foundation Berlin.

We are committed to fostering an atmosphere of respect, collegiality, and sensitivity. Please read our MATH+ Collegiality Statement.

Upcoming events

TES Kick-Off Conference

October 26-30, 2020

Scope: This online conference will bring together scientist from diverse fields in applied mathematics, analysis, scientific computing, numerical analysis and the applied sciences. The focus will be on the emerging mathematical methods, modeling approaches, and (old and new) applications that benefit from variational approaches. Speakers are asked to give introductory lectures to their research which will be discussed during the week using different online formats.

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TES Student Compact Course

October 12-23, 2020

Scope: The course will give an in-depth background on the topics of the Thematic Einstein Semester Energy-based Mathematical Methods for Reactive Multiphase Flows. In particular, the focus is on evolutionary systems whose mathematical formulation exhibits advantageous structures such as port-Hamiltonian, gradient, or GENERIC (General Equations for Non-Equilibrium Reversible Irreversible Coupling) structures.

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Several activities for students during the winter term.
More details soon.

TES BMS Semester

Winter term

Coming soon

More details soon.

TES Final Conference

February 22-26, 2021

Coming soon

Info: Jointly organized with SPP 2171, SFB 1114, SPP 1984
More details soon.

TES 3-day Workshops


Coming soon


Since the early works of Lagrange and Hamilton for classical mechanics and Rayleigh and Helmholtz for dissipative processes, energetic variational methods for fluids and solids have been developed extensively. The relation to underlying microscopic stochastic models was pioneered by Onsager leading to his celebrated reciprocal relations. However, most systematic developments concerned either purely conservative Hamiltonian systems or purely dissipative gradient systems. In the last two decades, a unification of these two extremes was addressed by developing concepts for systems combining both systems. More recently, these topics evolved into mathematical theories such as GENERIC and port-Hamiltonian structures. Corresponding thermodynamical structures are advantageous from the modeling point-of-view and for the design of efficient numerical schemes. However, different communities have developed own languages and specific mathematical methods that are not always accessible for non-experts.

This Thematic Einstein Semester will bring together scientists from different communities to develop synergies between the different approaches. The mathematical community could contribute (to) the structural analysis of flowing systems concerning, for example, the geometry of thermodynamic systems, functional analytical frameworks for partial differential equations, description of bulk-interface coupling, connection to microscopic/stochastic models, construction of structure-preserving numerical schemes, model reduction or modular modeling. Communication with applied material research communities in mathematics, physics and engineering will cover diverse material systems such as, for example, reactive flows, porous medium flow, hydrogels, electrolytes, colloidal and non-colloidal suspensions, nematic materials, and beyond, where thermodynamic descriptions play an important role.