PDE 2019: Partial Differential Equations in Fluids and Solids

Group Portrait PDE 2019

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)

Weak-strong uniqueness principles for multi-phase mean curvature flow and fluid-fluid interface evolution

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)

Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary conditions

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)

Endpoint maximal regularity and application to a free boundary problem for the incompressible Navier-Stokes equation

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)

Weak solutions and weak-strong uniqueness to a thermodynamically consistent model describing solid-liquid phase transitions

12:00 - 12:30 Annegret Glitzky (WIAS Berlin)

An existence result for a class of electrothermal drift-diffusion models with Gauss-Fermi statistics for organic semiconductors

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) GAMM

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