International Research Training Group 1529 - Mathematical Fluid Dynamics

Asymptotic Profile of a Linearized Navier-Stokes Flow Past a Rotating Body
(to appear in Q. Appl. Math.)
Authors: Mads Kyed
Preprint

Weak Neumann implies Stokes
Authors: Matthias Geißert, Horst Heck, Matthias Hieber,
Okihiro Sawada
Preprint

Leading Term at Infinity of Steady Navier-Stokes Flow around a Rotating Obstacle
Authors: R. Farwig, T. Hishida
FB Mathematik, TU Darmstadt, Preprint no. 2591 (2009). Math. Nachr.
Preprint

Leray's inequality in general multi-connected domains in replace('\mathbb{ R}^n','ffffff')
Authors: R. Farwig, H. Kozono, T. Yanagisawa
Math. Ann.
FB Mathematik, TU Darmstadt, Preprint no. 2611 (2010)
Preprint

Weak Solutions of the Navier-Stokes Equations with Nonzero Boundary Values in an Exterior Domain
Authors: R. Farwig, H. Kozono, F. Riechwald
Proc. Intern. Conf.
''Mathematical Analysis on the Navier-Stokes Equations and Related Topics, Past and Future'', Kobe 2009 (2010).
Gakuto Intern. Series: Math. Sci. Appl.

Error analysis of the finite element and finite volume methods for some viscoelastic fluids
Authors: M. Lukacova-Medvidova, H. Mizerova, B. She, J. Stebel
J. Numer. Math. (2015), 29 pages
Preprint

Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
Authors: M. Lukacova-Medvidova, H. Mizerova, S. Necasova
Nonlinear Anal.-Theor 120 (2015), pp. 154-170
Preprint

Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid
Authors: M. Lukacova-Medvidova, H. Notsu, B. She
Int. J. Numer. Meth. Fl. (2015), 41 pages
Preprint

Spatial Asymptotic Profiles of Solutions of the Navier-Stokes
System in a Rotating Frame
Authors: Raphael Schulz
Preprint

Concentration-Diffusion Phenomena of Heat
Convection in an Incompressible Fuid
Authors: R. Farwig, R. Schulz, M. Yamazaki
Preprint

Hadamard variational formula for the Green function of
the boundary value problem on the Stokes equations
Authors: Hideo Kozono, Erika Ushikoshi
Preprint

On a mapping property of the Oseen operator with rotation
Authors: M. Kyed
Preprint

On the Asymptotic Structure of a Navier-Stokes Flow Past a Rotating Body
Authors: M. Kyed
Preprint

A simple proof of Lq-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions
Authors: M. Kyed, Giovanni P. Galdi
Preprint

A simple proof of Lq-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part I: Strong solutions
Authors: M. Kyed, Giovanni P. Galdi
Preprint

On the stationary Navier-Stokes flows around a rotating body
Authors: Horst Heck, Hyunseok Kim, Hideo Kozono
Preprint

replace(' \mathcal{H}^{\infty}','ffffff')-calculus for cylindrical boundary value problems
Authors: Tobias Nau, Jürgen Saal
Preprint

On replace('L^q','ffffff')-estimates for the stationary Oseen equations in a rotating frame
Authors: Giovanni P. Galdi, Mads Kyed
Preprint

On the Stokes Operator in General Unbounded Domains
Authors: R. Farwig, H.Kozono, H. Sohr
Hokkaido Math. J. 38, 111-136 (2009)

Optimal Initial Value Conditions for the Existence of local Strong Solutions of the Navier-Stokes Equations.
Authors: R.Farwig, H. Sohr
Math. Ann. 345, 631-642 (2009)

Weighted replace('L^2','ffffff') and replace('L^q','ffffff') Approaches to Fluid Flow past a Rotating Body
Authors: R. Farwig, S. Kravcmar, M. Krbec, S. Necasova.
P. Penel
Nonlocal and Abstract Parabolic Equations and their Applications, Banach Center Publ., 86, 59-81, Warsawa (2009)

Regularity of Weak Solutions of the Navier-Stokes Equations via Energy Criteria.
Authors: R. Farwig, H. Kozono, H. Sohr
Conf. Pro. "Mathematical Fluid Mecahnics: a tribute to Giovanni Paolo Galdi", Estoril (Portugal) 2007, Springer Verlag 2010

On Optimal Initial Value Conditions for Local Strong Solutions of Navier-Stokes Equations
Authors: R. Farwig, H. Sohr, W. Varnhorn
Ann. Univ. Ferrara 55, 89-110 (2009)
Preprint

The Largest Possible Initial Value space for Local Strong Solutions of the Navier-Stokes Equations in General Domains
Authors: R. Farwig, H. Sohr
FB Mathematik, TU Darmstadt, Preprint no. 2546 (2008)
Preprint

On the existence of local strong solutions for the Navier-Stokes equations in completely general domains
Authors: R. Farwig, H. Sohr
Nonlinear Analysis 73, 1459-1465 (2010)

Global Weak Solutions of the Navier-Stokes System with Nonzero Boundary Conditions
Authors: R. Farwig, H. Kozono, H. Sohr
Funkcial. Ekvac. 53, 231-247 (2010)
Preprint

Necessary and Sufficient Conditions on Local Strong Solvability of
the Navier-Stokes System
Authors: R. Farwig, H. Sohr, W. Varnhorn
Applicable Analysis 2010, 1-12, iFirst

Asymptotic Profile of Steady Stokes Flow around a Rotating Obstacle
Authors: R. Farwig, T. Hishida
FB Mathematik, TU Darmstadt, Preprint no. 2578 (2009)
manuscripta mathematica (to appear)

Spectral Analysis of a Stokes-Type Operator Arising from Flow around a Rotating Body
Authors: R. Farwig, S. Necasova, J. Neustupa
J. Math. Soc. Japan 63, 163-194 (2011)
Preprint

Spectral Properties in replace('L^q','ffffff') of an Oseen Operator Modelling Fluid Flow past a Rotating Body
Authors: R. Farwig, J. Neustupa
Tohoku Math.J. 62 (2010), 287-309
Preprint

Asymptotic Profiles of Steady Stokes and
Navier-Stokes Flows around a Rotating Obstacle
Authors: R. Farwig, T. Hishida
Ann. Univ. Ferrara 55, 263-277 (2009)
Preprint

Regularity of weak solutions to the Navier-Stokes equations in exterior domains
Authors: R Farwig, C. Komo
Nonlinear Differ. Equ. Appl. 17, 303-321 (2010)
Preprint

Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-Dependent Boundary Values
Authors: R. Farwig, H. Kozono, H. Sohr
Progress Nonl. Differential Equations Appl., Springer, Basel 60, 211232 (2011)

On the uniqueness of almost periodic-in-time solutions to the Navier-Stokes equations in unbounded domains
Authors: R. Farwig, Y. Taniuchi
J. Evolution Equations
(DOI 10.1007/s00028-010-0098-3 online 2011)
Preprint

Periodic solutions of the Navier-Stokes equations with inhomogeneous boundary conditions
Authors: R. Farwig, T. Okabe
Ann. Univ. Ferrara Sez. VII Sci. Mat. 56 (2), 249-281 (2010)

On the energy equality of Navier-Stokes equations in general unbounded domains
Authors: R. Farwig, Y. Taniuchi
Archiv Math. 95, 447-456 (2010)
Preprint

Leray's inequality for fluid flow in symmetric multi-connected two-dimensional domains
Authors: R. Farwig, H. Morimoto
FB Mathematik, TU Darmstadt, Preprint no. 2612
(2010)
Preprint

Extension of Serrin's uniqueness and regularity conditions for the Navier-Stokes equations
Authors: R. Farwig, H. Sohr, W. Varnhorn
FB Mathematik, TU Darmstadt, Preprint no. 2614 (2010)
Preprint

Global Weak Solutions of the Navier-Stokes Equations with Nonhomogeneous Boundary Data and Divergence
Authors: R. Farwig, H. Kozono, H. Sohr
FB Mathematik, TU Darmstadt, Preprint no. 2619 (2010).
Rend. Sem. Mat. Univ. Padova (to appear)
Preprint

Asymptotic Structure of a Leray Solution to the Navier-Stokes Flow
around a Rotating Body
Authors: R. Farwig, G. P. Galdi, M. Kyed
FB Mathematik, TU Darmstadt, Preprint no. 2621(2010)
Preprint

A simple proof of Lq-estimates for the steady-state Oseen and Stokes equations in a rotating frame. Part II: Weak solutions
Authors: M. Kyed, Giovanni P. Galdi
Preprint

Numerical Analysis of the Oseen-Type Peterlin viscoelastic
model by the stabilized Lagrange–Galerkin method
Part I: a linear scheme
Authors: Mária Lukáčová-Medviďová, Hana Mizerová, Hirofumi Notsu and Masahisa Tabata
sumbitted to M2AN (2016)
Preprint

Numerical Analysis of the Oseen-Type Peterlin viscoelastic
model by the stabilized Lagrange–Galerkin Method Part II: A nonlinear scheme
Authors: Mária Lukáčová-Medviďová, Hana Mizerová, Hirofumi Notsu and Masahisa Tabata
submitted to M2AN (2016)
Preprint

Global existence result for the generalized Peterlin viscoelastic model
Authors: Mária Lukáčová-Medviďová, Hana Mizerová, Šárka Nečasová, Michael Renardy
submitted to SIAM J. Appl. Math. (2016)
Preprint