International Research Training Group 1529 - Mathematical Fluid Dynamics
Courses Archive Courses
Lecture Series: An introduction to entropy methods for reaction-diffusion-type models
| Lecturers | Klemens Fellner |
| Description | Details |
| Time | | May. 21, 2015, | 09:50 - 11:30, | Room: S2 15 / 401 |
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Interdisciplinary Lecture Course: Mathematical Fluid Dynamics
| Lecturers | Stefan Ulbrich |
| Description | Optimal Control of the Navier-Stokes Equations |
| Time | | Jun. 28, 2013, | 09:00 - 09:30, | Room: S2 15/315 | | Jun. 28, 2013, | 13:00 - 14:30, | Room: S2 15/315 | | Jul. 05, 2013, | 09:00 - 10:30, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Stochastic differential equations
| Lecturers | Volker Betz |
| Description | Lecture I:
Brownian motion and the heat equation
Lecture II:
Ito calculus
Lecture III:
Stochastic differential equations |
| Time | | Jun. 24, 2013, | 09:00 - 11:00, | Room: S2 15/315 | | Jun. 25, 2013, | 09:00 - 11:00, | Room: S2 15/401 | | Jun. 26, 2013, | 09:00 - 11:00, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Mathematical Fluid Dynamics
| Lecturers | Maria Lukacova |
| Description | Genuinely multidimensional finite volume schemes for hyperbolic conservation laws |
| Time | | Jun. 04, 2013, | 11:00 - 13:00, | Room: S2 15/401 | | Jul. 02, 2013, | 11:00 - 13:00, | Room: S2 15/401 | | Jul. 16, 2013, | 11:00 - 13:00, | Room: S2 15/401 |
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Interdisciplinary Lecture Course: Mathematical Fluid Dynamics
| Lecturers | Matthias Geißert |
| Description | Stokes and Navier-Stokes equations in domains |
| Time | | May. 21, 2013, | 11:40 - 13:20, | Room: S2 15/401 | | May. 23, 2013, | 14:00 - 15:30, | Room: S2 15/315 | | May. 28, 2013, | 11:40 - 13:20, | Room: S2 15/401 |
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Interdisciplinary Lecture Course: Mathematical Fluid Dynamics
| Lecturers | Matthias Hieber |
| Description | Functional calculus, maximal regularity with applications to Ekman boundary layers |
| Time | | May. 02, 2013, | 11:40 - 13:20, | Room: S2 15/401 | | May. 07, 2013, | 11:40 - 13:20, | Room: S2 15/401 | | May. 16, 2013, | 11:40 - 13:20, | Room: S2 15/401 |
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Interdisciplinary Lecture Course: Mathematical Fluid
Dynamics
| Lecturers | Martin Ziegler |
| Description | Computability and Complexity in Analysis |
| Time | | Apr. 16, 2013, | 09:50 - 11:20, | Room: S2 15/401 | | Apr. 18, 2013, | 14:25 - 16:05, | Room: S2 15/315 | | Apr. 22, 2013, | 17:10 - 18:40, | Room: S2 15/315 | | Apr. 25, 2013, | 14:25 - 16:05, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Mathematical Fluid
Dynamics
| Lecturers | Ulrich Kohlenbach |
| Description | Proof Mining: Unwinding the Computational Content in Ineffective Proofs in Analysis, Part I - III |
| Time | | Feb. 11, 2013, | 11:40 - 13:20, | Room: S2 15/315 | | Feb. 13, 2013, | 14:25 - 16:05, | Room: S2 15/315 | | Feb. 15, 2013, | 10:05 - 11:45, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Mathematical Fluid
Dynamics
| Lecturers | Herbert Egger |
| Description | Lecture I:
Foundations of the Finite Element Method
Lecture II:
Inf-Sup stable discretizations for the Stokes problem
Lecture III:
FEM for the Navier-Stokes equations |
| Time | | Jan. 30, 2013, | 13:00 - 14:40, | Room: S2 15/315 | | Feb. 01, 2013, | 09:00 - 10:40, | Room: S2 15/315 | | Feb. 06, 2013, | 13:00 - 14:40, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Mathematical Fluid
Dynamics
| Lecturers | Reinhard Farwig |
| Description | Weak solutions of Navier-Stokes equations |
| Time | | Dec. 18, 2012, | 10:05 - 11:30, | Room: S2 15/401 | | Dec. 19, 2012, | 14:25 - 16:05, | Room: S2 15/315 | | Jan. 15, 2013, | 10:05 - 11:30, | Room: S2 15/401 | | Jan. 23, 2013, | 14:25 - 16:05, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Mathematical Fluid Dynamics
| Lecturers | Dieter Bothe |
| Description | Continuum mechanical modeling of Newtonian fluid flow |
| Time | | Nov. 21, 2012, | 09:50 - 11:20, | Room: S2 15/315 | | Nov. 27, 2012, | 14:00 - 15:30, | Room: S2 15/315 | | Dec. 04, 2012, | 14:00 - 15:30, | Room: S2 15/315 |
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Interdisciplinary Lecture Course: Mathematical Fluid Dynamics
| Lecturers | Cam Tropea |
| Description | Lecture 1:
Introduction, conservation of mass and momentum,
Cauchy equation, applications in engineering
Lecture II:
Navier-Stokes Equations and simplifications,
Dimensionless equations, model scaling
Lecture III:
Euler equation, Bernoulli equation and applications |
| Time | | Oct. 26, 2012, | 08:30 - 10:00, | Room: S2 15/315 | | Nov. 02, 2012, | 09:00 - 10:30, | Room: S2 15/315 | | Nov. 16, 2012, | 09:00 - 10:30, | Room: S2 15/315 | | Nov. 23, 2012, | 09:00 - 09:45, | Room: S2 15/315 |
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Mini-Course: Analyticity of the Stokes semigroup in Spaces of Bounded Functions
| Lecturers | Yoshikazu Giga |
| Description | Lecture I: Compactness
Lecture II: Uniqueness and Admissibility |
| Time | | May. 30, 2011, | 11:00 - 12:30, | Room: S2 15/315 | | May. 31, 2011, | 10:00 - 11:30, | Room: S2 15/401 |
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Mini-Course: Mathematical Analysis of the Euler and Navier-Stokes Equations, and other Geophysical Models
| Lecturers | Edriss Titi |
| Description | Details |
| Time | | Nov. 23, 2010, | 14:00 - 15:00, | Room: S2 15/401 | | Nov. 24, 2010, | 14:00 - 15:00, | Room: S2 15/315 | | Nov. 25, 2010, | 14:00 - 15:00, | Room: S2 15/401 |
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Course: Special Lectures on Mathematical Fluid Dynamics
| Lecturers | T. Funaki, H. Kozono, T. Nishida, M. Yamazaki |
| Description | Details
Details (2) |
| Time | | Oct. 29, 2010, | 10:30 - 16:00, | Room: 51-17-06 (Waseda University, Tokyo) | | Nov. 05, 2010, | 10:30 - 16:00, | Room: 51-17-06 (Waseda University, Tokyo) | | Nov. 12, 2010, | 10:30 - 16:00, | Room: 51-17-06 (Waseda University, Tokyo) | | Nov. 19, 2010, | 10:30 - 16:00, | Room: 51-17-06 (Waseda University, Tokyo) | | Nov. 26, 2010, | 10:30 - 16:00, | Room: 51-17-06 (Waseda University, Tokyo) | | Dec. 10, 2010, | 10:30 - 14:30, | Room: 51-17-06 (Waseda University, Tokyo) |
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Mini-Course: Long-time solvability of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data
| Lecturers | Tsuyoshi Yoneda |
| Time | | Jun. 10, 2010, | 14:00 - 15:00, | Room: S2 15/401 | | Jun. 15, 2010, | 11:00 - 12:00, | Room: S2 15/401 | | Jun. 15, 2010, | 14:00 - 15:00, | Room: S2 15/401 |
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Mini-Course: Mathematical questions related to solid-liquid interaction
| Lecturers | Paolo Galdi |
| Time | | Jun. 08, 2010, | 11:40 - 12:40, | Room: S2 15/401 | | Jun. 08, 2010, | 14:00 - 15:00, | Room: S2 15/401 | | Jun. 17, 2010, | 09:50 - 10:45, | Room: S2 15/401 |
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Mini-Course: Spectral Analysis and Asymptotic behaviour for Navier-Stokes Equations
| Lecturers | Matthias Hieber |
| Time | | May. 14, 2010, | 10:00 - 11:30, | | | May. 14, 2010, | 13:00 - 14:30, | | | May. 21, 2010, | 10:00 - 11:30, | | | May. 21, 2010, | 13:00 - 14:30, | |
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Seminar: Seminar Non-Newtonion Fluids
| Lecturers | Karoline Götze |
| Description | In the first part of the seminar, four pdf-notes will be sent via e-mail to start the discussion and introduce some notions from modelling and analysis of special types of non-Newtonian fluids. We will meet for a seminar day of talks and discussion at the end of the semester. If you would like to take part, please contact me via e e-mail
Time:
Notes: April 20 to June 1, 2010
Seminar Day: tba, ~ July 2, 2010 |
Mini-Course: Maximal Regularity, Quasilinear Parabolic Systems and Applications to Two-Phase Problems
| Lecturers | Jan Prüss |
| Time | | Mar. 15, 2010, | 10:00 - 11:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 15, 2010, | 15:00 - 16:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 16, 2010, | 13:00 - 14:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 |
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Mini-Course: Stochastic Partial Differential Equations
| Lecturers | Wilhelm Stannat |
| Time | | Mar. 15, 2010, | 13:00 - 14:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 16, 2010, | 10:00 - 11:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 16, 2010, | 15:00 - 16:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 |
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Mini-Course: Real Analytic Approach to the Navier-Stokes Equations
| Lecturers | Masao Yamazaki |
| Time | | Mar. 08, 2010, | 15:00 - 16:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 09, 2010, | 10:00 - 11:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 09, 2010, | 13:00 - 14:30, | Room: n |
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Mini-Course: The Navier-Stokes Equations:
A Mathematical Analysis
| Lecturers | Paolo Galdi |
| Time | | Mar. 08, 2010, | 10:00 - 11:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 08, 2010, | 13:00 - 14:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 | | Mar. 09, 2010, | 15:00 - 16:30, | Room: Nishi-Waseda Campus 52 bldg. - room 201 |
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Mini Course: L2 geometry of diffeomorphism groups and equations of hydrodynamics.
| Lecturers | Gerard Misiolok |
| Description | The goal is to provide an introduction to differential-geometric approach in hydrodynamics. In 1966 Arnold observed that motions of incompressible fluids described by the Euler equations can be viewed as geodesics of an L2 metric on the group of volume-preserving diffeomorphisms. After providing some background on diffeomorphism groups we will describe the pioneering work of Arnold, Ebin-Marsden and Shnirelman and present a recent result on the structure of singularities of the associated Riemannian exponential map. We will also describe some recent work on the Cauchy problem for the Euler equations. |
| Time | | Jan. 19, 2010, | 14:00 - 15:00, | Room: S215/401 | | Jan. 21, 2010, | 14:00 - 15:00, | Room: S215/401 | | Jan. 26, 2010, | 09:50 - 10:50, | Room: S215/401 |
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Mini Course: Navier-Stokes equations in critical Besov spaces.
| Lecturers | Okihiro Sawada |
| Description | We first introduce the definition and basic properties of Besov spaces. Then we discuss time local solvability of the Navier-Stokes equations in critical Besov spaces in the whole space. In particular, we show a positive result due to Koch-Tataru and we give a counter example due to Bourgain-Pavlovic. |
| Time | | Nov. 23, 2009, | 11:40 - 13:10, | Room: S215/401 | | Nov. 26, 2009, | 09:50 - 11:20, | Room: S215/401 | | Nov. 30, 2009, | 11:40 - 13:10, | Room: S215/401 | | Dec. 03, 2009, | 09:50 - 11:20, | Room: S215/401 |
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One Year Course: Mathematical fluid dynamics
| Lecturers | PI's of the IRTG 1529 |
| Description | The course starts on October 26, 2009. For more information see the homepage of the course at TU Darmstadt. |
Course: Stochastic PDE's
| Lecturers | Klaus Ritter |
| Description | The course starts on October 15, 2009. For more information see the homepage of the course at TU Darmstadt. |
Course: The Navier-Stokes equations
| Lecturers | Matthias Geissert |
| Description | The course starts on October 12, 2009. For more information see the homepage of the course at TU Darmstadt. |
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