PDE 2019: Partial Differential Equations in Fluids and Solids
Weierstrass Institute Berlin, 9-13 September 2019
Monday, 09.09.2019
15:00 - 16:00 Registration & Coffee
16:00 - 16:15 Opening
Chair: Alexander Mielke
16:15 - 17:00 Edriss Titi (Texas A&M University)
Oceanic and tropical with moisture atmospheric models
17:00 - 17:30 Xin Liu (Texas A&M University / FU Berlin)
Justification of the primitive equations
17:30 - 18:15 Pierre-Étienne Druet (WIAS Berlin)
The low Mach number limit for complex fluids: recent results on strong and weak solvability
Tuesday, 10.09.2019
Chair: Céline Grandmont
09:00 - 09:45 Maria Specovius (U Kassel)
Decomposition of vector fields in weighted Lq-spaces
09:45 - 10:30 Hans Knüpfer (U Heidelberg)
Fluid evolution in the presence of three-phase contact lines
10:30 - 11:00 Coffee Break
Chair: Edriss Titi
11:00 - 11:30 Sebastian Hensel (IST Austria Klosterneuburg)
11:30 - 12:00 Maximilian Moser (U Regensburg)
Convergence of the Allen-Cahn equation to the mean curvature flow with 90°-contact angle
12:00 - 12:30 Maximilian Rauchecker (U Regensburg)
The Mullins-Sekerka and Navier-Stokes / Mullins-Sekerka problems with contact angle
12:30 - 14:00 Lunch
Chair: Eduard Feireisl
14:00 - 14:45 Demetrios Papageorgiou (Imperial College London)
Nonlinear interfacial instabilities in viscous multilayer flows
14:45 - 15:30 Harald Garcke (U Regensburg)
Analysis of Cahn-Hilliard-Brinkman models for tumour growth
15:30 - 16:00 Coffee Break
Chair: Maria Specovius
16:00 - 16:30 Felicitas Schmitz (U Regensburg)
Interaction of mean curvature flow and diffusion
16:30 - 17:00 Michael Gößwein (U Regensburg)
The surface diffusion flow of triple junction clusters in higher space dimensions
Wednesday, 11.09.2019
Chair: Karoline Disser
09:00 - 09:45 Céline Grandmont (Inria de Paris)
Some existence results for fluid-structure interaction problems
09:45 - 10:30 Takéo Takahashi (Inria Nancy Grand Est)
Analysis of the interaction between a viscous incompressible fluid and an elastic structure
10:30 - 11:00 Group Portrait & Coffee Break
Chair: Takéo Takahashi
11:00 - 11:30 Mario Bukal (U Zagreb)
Rigorous derivation of reduced models in thin fluid-thin structure interaction problems
11:30 - 12:00 Michael Eden (U Bremen)
Effective hydromechanic models for fibre-reinforced hydrogels
12:00 - 12:30 Mohammad Jahanshahi (Azarbaijan S. M. U. Tabriz)
12:30 - 14:00 Lunch
Chair: Michael Růžička
14:00 - 14:45 Barbora Benešová (Charles U Prague)
Non-interpenetration in thin films
14:45 - 15:30 Martin Kružík (CAS Prague)
Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity
15:30 - 16:00 Coffee Break
Chair: Dorothee Knees
16:00 - 16:30 Julia Orlik (FHG ITWM Kaiserslautern)
Homogenization and dimension reduction in textiles
16:30 - 17:15 Julian Fischer (IST Austria Klosterneuburg)
Optimal convergence rates in stochastic homogenization of nonlinear uniformly elliptic PDEs
17:15 - 18:00 Marta Lewicka (U Pittsburgh)
Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models
19:00 - 21:00 Workshop Dinner
To join our Workshop Dinner just walk from WIAS across Hausvogteiplatz to the restaurant Braufactum Berlin, Hausvogteiplatz 3-4, 10117 Berlin-Mitte.
Thursday, 12.09.2019
Chair: Barbora Benešová
09:00 - 09:45 Raphaël Danchin (U Paris-Est)
09:45 - 10:30 Tomáš Roubíček (Charles U Prague)
Some notes about quasi-incompressible fluids
10:30 - 11:00 Coffee Break
Chair: Ulisse Stefanelli
11:00 - 11:30 Marcel Braukhoff (Vienna UT)
Chemotaxis-consumption model with realistic boundary conditions
11:30 - 12:00 Robert Lasarzik (WIAS Berlin)
12:00 - 12:30 Annegret Glitzky (WIAS Berlin)
12:30 - 14:00 Lunch
Chair: Helmut Abels
14:00 - 14:45 Michele Coti Zelati (Imperial College London)
Separation of time-scales in fluid mechanics
14:45 - 15:15 Anna Abbatiello (TU Berlin)
On a class of generalized solutions to equations describing incompressible viscous fluids
15:15 - 16:00 Eduard Feireisl (CAS Prague / TU Berlin)
The Euler system describing the motion of an inviscid compressible fluid: analysis and numerics
16:00 - 16:30 Coffee Break
16:30 - 18:00 Meeting of the GAMM Activity Group Analysis of Partial Differential Equations (Fachausschuss-Sitzung)
18:00 Walk from WIAS to the Museum of Natural History
19:00 - 20:00 Moonlight tour through the Museum of Natural History
Our moonlight tour will take place at the Museum für Naturkunde, Invalidenstraße 43, 10115 Berlin-Mitte, about 3 km from WIAS. The closest subway station is Naturkundemuseum, subway line U6. Coming from WIAS, you simply walk down Mohrenstraße up to Friedrichstraße. Right here you can enter the subway station Stadtmitte of the subway line U6; take a train in direction Alt Tegel and get off at the 4th stop Naturkundemuseum. Now just follow the signs, and walk down Invalidenstraße to the museum. Our tour will start at 7 PM as scheduled at the wheelchair entrance of the museum.
Friday, 13.09.2019
Chair: Marta Lewicka
09:00 - 09:45 Riccarda Rossi (UNIBS Brescia)
Balanced viscosity solutions to multi-rate systems
09:45 - 10:30 Dorothee Knees (U Kassel)
Optimal control for rate-independent systems
10:30 - 11:00 Coffee Break
Chair: Hans Knüpfer
11:00 - 11:30 Luca Courte (U Freiburg)
Pinning of interfaces by localized dry friction
11:30 - 12:00 Anna Balci (U Bielefeld)
New examples on Lavrentiev gap using fractals
12:00 - 12:30 Imane Boussetouan (ESTI Annaba)
Large time behavior of solutions to 3D Navier-Stokes system with Tresca’s friction law
12:30 - 14:00 Lunch
Chair: Harald Garcke
14:00 - 14:45 Michael Růžička (U Freiburg)
Existence proofs for pseudomonotone parabolic problems
14:45 - 15:30 Ulisse Stefanelli (U Vienna)
Variational models of phase-change with Eulerian interfacial energies
15:30 - 16:00 Closing & Coffee