Energy-based mathematical methods for reactive multiphase flows
Winter Semester 2020/21
Organizers
Volker
Mehrmann (TU Berlin)
Alexander Mielke (HU Berlin / WIAS)
Dirk Peschka (WIAS)
Marita Thomas (WIAS / U. Kassel)
Barbara Wagner (TU Berlin / WIAS)
Scope
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.
If you want to advertise this event, then you can use this flyer (pdf).
The semester is organized within the framework of the Berlin Mathematics Research
Center MATH+
and supported by the
Einstein Foundation
Berlin.
Activities
- Kick-off Conference
Save the date!
Date: Oct 26-30 2020
Location: TU Berlin - Student Compact Course
Date: 2 weeks, Oct 12-23 2020
Location: TU Berlin / WIAS - TES BMS Semester
Date: winter term
Location: TU Berlin / WIAS
Info: Limited number of scholarships available!
- TES Final Conference
Date: Feb 22-26 2021
Location: TU Berlin - 3-day Workshops
Date: TBA, Location: Berlin
Info: Jointly organized with SPP 2171, SFB 1114, SPP 1984.
Collegiality
MATH+ Collegiality Statement