Modeling, Analysis, and Scaling Limits for Bulk-Interface Processes

• Congratulations! M. H. Farshbaf Shaker begins his W2 Professorship of Mathematics in Engineering at HTW Berlin (University of Applied Sciences for Engineering and Economics Berlin) on 1 April 2022.
• SIAM Conference on Analysis of Partial Differential Equations, 14 -- 18 March 2022
  Minisymposium MS80 "Energy-Based Mathematical Methods and Thermodynamics" hosted by D. Peschka, M. Thomas, and M. Liero (RG 1).

• GAMM 2021, 91st Annual GAMM Meeting, Kassel, 15 -- 19 March 2021
  Section S11 ”Interfacial flows” organised by M. Scholle (Hochschule Heilbronn), D. Peschka
  Section S14 ”Applied analysis” organised by D. Knees (University of Kassel), M. Thomas
• 2nd Conference of CRC 1114 "Scaling Cascades in Complex Systems", 1 -- 3 March 2021
  Mini symposium "MSDI4: Modeling and analysis of geological fluid flows", organised by M. Thomas (WIAS Berlin) and T. John (FU Berlin)
  
• Closing Conference (23rd -- 25th February 2021) "Structures in Evolution: Theory and Applications" within the Thematic Einstein Semester, winter term 2020/21
• TES-Seminar on Energy-based Mathematical Methods and Thermodynamics within the Thematic Einstein Semester, winter term 2020/21
  
• "MA4M: Mathematical Analysis for Mechanics" (23 -- 25 November 2020) within the Thematic Einstein Semester, winter term 2020/21
• "Kick-off Conference" (26 -- 30 October 2020) within the Thematic Einstein Semester, winter term 2020/21
• "Student Compact Course" (12 -- 23 October 2020) within the Thematic Einstein Semester, winter term 2020/21
• Weierstrass Group 1 was evaluated on the basis of internal and external reviews in June 2020 and subsequently prolonged for another three years. Its first funding period was rated as a complete success.
• PDE 2019: Partial Differential Equations in Fluids and Solids, WIAS Berlin, 9 -- 13 September 2019
• A. Münch (University of Oxford) and D. Peschka organised the minisymposium ”Recent advances in understanding suspensions and granular media flow” at the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019) in Valencia, Spain, 15 -- 19 July 2019.
• From 1 June to 31 July 2019, L. Heltai, (SISSA, Trieste) was a visitor of the Weierstrass Group 1 and researched on the subject of FEM-based discretization methods.
• On 31 January and 1 February 2019, the kickoff meeting of the ECMI Special Interest Group ”Modelling, Simulation and Optimization in Electrical Engineering” took place at WIAS; the meeting was organised by N. Rotundo (RG1), P. Farrell (RG3) and D. Peschka.
• Analysis of Evolutionary and Complex Systems (ALEX2018), 24 -- 28 September 2018

Overview

• thermodynamically consistent modeling of bulk-interface interaction with dissipative, Hamiltonian, and coupled dynamics,
• theory for the existence and qualitative properties of solutions,
• derivation and justification of interfacial processes and coupling conditions.

• dissipative processes in elastic solids with bulk-interface interaction (M. Thomas, S. Tornquist), such as e.g. damage, fracture, plastification,
• optoelectronic processes in semiconductor devices (M. Thomas, D. Peschka),
• viscous flows with free boundaries and contact lines (D. Peschka, M. H. Farshbaf Shaker, M. Thomas, A. Zafferi).

Mechanical stresses and progression of damage for a tension test with a notched bar using a BV-regularized damage model	Cross-section through a laser-device: The optically active germanium region displays the hole currents (colors) and the contour lines of the main mode (red lines)	P1 FEM solution of free boundary problem showing thin droplets sliding down an inclined plane