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1. Full Text Large time behavior of a generalized Oseen evolution operator, with applications to the Navier–Stokes flow past a rotating obstacle
by Hishida, Toshiaki
Mathematische Annalen, ISSN 0025-5831, 12/2018, Volume 372, Issue 3-4, pp. 915 - 949
Consider the motion of a viscous incompressible fluid in a 3D exterior domain D when a rigid body D moves with prescribed time-dependent translational and... 
SEMIGROUP | MATHEMATICS | EXTERIOR | Secondary 76D05 | DECAY | STABILITY | Primary 35Q30 | EQUATIONS | SPECTRUM | STATIONARY
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2. A linearized model for compressible flow past a rotating obstacle: Analysis via modified bochner-riesz multipliers
by Farwig, Reinhard and Pokorny, Milan
Zeitschrift fur Analysis und ihre Anwendung, ISSN 0232-2064, 2015, Volume 34, Issue 3, pp. 285 - 308
Consider the flow of a compressible Newtonian fluid around or past a rotating rigid obstacle in R-3. After a coordinate transform to get a problem in a... 
Rotating body | Modified Bochner- Riesz multipliers | Compressible Navier-Stokes equations | Linearization | NAVIER-STOKES FLOW | MATHEMATICS | MATHEMATICS, APPLIED | modified Bochner-Riesz multipliers | rotating body | linearization
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3. Full Text An Lq-analysis of viscous fluid flow past a rotating obstacle
by Farwig, Reinhard
Tohoku Mathematical Journal, ISSN 0040-8735, 03/2006, Volume 58, Issue 1, pp. 129 - 147
Singular integral operator | Rotating obstacles | Littlewood-Paley theory | Maximal operators | Oseen flow | Stokes flow
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4. Full Text AN $L^q$-ANALYSIS OF VISCOUS FLUID FLOW PAST A ROTATING OBSTACLE
by FARWIG, REINHARD
Tohoku Mathematical Journal, Second Series, ISSN 0040-8735, 2006, Volume 58, Issue 1, pp. 129 - 147
Consider the problem of time-periodic strong solutions of the Stokes and Navier-Stokes system modelling viscous incompressible fluid flow past or around a... 
Littlewood-Paley theory | maximal operators | rotating obstacles | singular integral operator | Oseen flow | Stokes flow | MATHEMATICS
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5. Full Text An $L^{\lowercase{q}}$-analysis of viscous fluid flow past a rotating obstacle
by Farwig, Reinhard
Tohoku Mathematical Journal, ISSN 0040-8735, 03/2006, Volume 58, Issue 1, pp. 129 - 147
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6. Full Text On periodic and almost periodic solutions to incompressible viscous fluid flow problems on the whole line
by Hieber, Matthias and Nguyen, Thieu Huy and Seyfert, Anton
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009, 2017, Volume 215, pp. 51 - 81
Navier-Stokes-Oseen equations | Periodoc and almost periodic solutions | Semilinear evolution equations | Flow past rotating obstacles | Incompressible fluid flow | Navier-Stokes-Coriolis equations
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7. Full Text Boundary-layer separation of rotating flows past surface-mounted obstacles
by Richards, K. J and Smeed, D. A and Hopfinger, E. J and D'Hières, G. Chabert
Journal of Fluid Mechanics, ISSN 0022-1120, 4/1992, Volume 237, Issue 343, pp. 343 - 371
This paper describes laboratory experiments on the flow over a three-dimensional hill in a rotating fluid. The experiments were carried out in towing tanks,... 
MECHANICS | TAYLOR COLUMNS | CIRCULAR-CYLINDER | PHYSICS, FLUIDS & PLASMAS | STRATIFIED FLOW
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8. Full Text Strong L^p-solutions to the Navier-Stokes flow past moving obstacles: The case of several obstacles and time dependent velocity
by Eva Dintelmann and Matthias Geissert and Matthias Hieber
Transactions of the American Mathematical Society, ISSN 0002-9947, 02/2009, Volume 361, Issue 2, pp. 653 - 669
Consider the Navier-Stokes flow past several moving or rotating obstacles with possible time-dependent velocity. It is shown that under suitable assumptions on... 
Time dependence | Infinity | Navier Stokes equation | Airy equation | Diagonal lemma | Rotating bodies | Semigroups | Flow velocity | Rotation | MATHEMATICS | EXTERIOR | ROTATING OBSTACLE | strong L-p-solutions | REGULARITY | EQUATIONS | INITIAL DATA | rotating obstacles | Navier-Stokes equations
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9. Full Text A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems
by Geissert, Matthias and Geissert, Matthias and Hieber, Matthias and Hieber, Matthias and Nguyen, Thieu Huy and Nguyen, Thieu Huy
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 6/2016, Volume 220, Issue 3, pp. 1095 - 1118
This article develops a general approach to time periodic incompressible fluid flow problems and semilinear evolution equations. It yields, on the one hand, a... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | ROTATING OBSTACLE | EXTERIOR DOMAINS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | NAVIER-STOKES EQUATIONS | WHOLE SPACE | LQ-SPACES | REGULARITY | UNBOUNDED-DOMAINS | WEAK SOLUTIONS | NONSTATIONARY STOKES | Incompressible flow | Interpolation | Fluid dynamics | Mathematical analysis | Geophysics | Fluid flow | Flow control | Viscous fluids | Stokes flow | Incompressible fluids | Navier-Stokes equations | Evolution | Diffusion
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10. A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects
by Geissert, Matthias and Hansel, Tobias
Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2011, Volume 63, Issue 3, pp. 1027 - 1037
Consider the Navier-Stokes flow past a rotating obstacle with a general time-dependent angular velocity and a time-dependent outflow condition at infinity.... 
Navier-Stokes flow | Rotating obstacle | Non-autonomous PDE | Oseen flow | rotating obstacle | MATHEMATICS | EXTERIOR | non-autonomous PDE | OBSTACLE | EQUATIONS
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11. Full Text On the Navier–Stokes equations with rotating effect and prescribed outflow velocity
by Hansel, Tobias and Hansel, Tobias
Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 9/2011, Volume 13, Issue 3, pp. 405 - 419
We consider the equations of Navier–Stokes modeling viscous fluid flow past a moving or rotating obstacle in $${\mathbb R^d}$$ subject to a prescribed velocity... 
non-autonomous PDE | Fluid- and Aerodynamics | Primary 35Q30 | 76D05 | evolution operators | Physics | Classical Continuum Physics | Secondary 76D03 | rotating obstacle | Mathematical Methods in Physics | Navier–Stokes flow | Oseen flow | Ornstein–Uhlenbeck operator | Navier-Stokes flow | Ornstein-uhlenbeck operator | Rotating obstacle | Evolution operators | Non-autonomous PDE | EXTERIOR | PHYSICS, FLUIDS & PLASMAS | FLOW | Ornstein-Uhlenbeck operator | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | REGULARITY | OBSTACLE | WEAK SOLUTIONS | Fluid dynamics | Analysis | Mathematics - Analysis of PDEs
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12. Full Text Periodic Motions of Stokes and Navier–Stokes Flows Around a Rotating Obstacle
by Nguyen, Thieu Huy
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 8/2014, Volume 213, Issue 2, pp. 689 - 703
We prove the existence and uniqueness of periodic motions to Stokes and Navier–Stokes flows around a rotating obstacle $${D \subset \mathbb{R}^3}$$ D ⊂ R 3... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | EXTERIOR | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FORCE | THEOREM | EQUATIONS | BODY | UNIQUENESS | Obstacles | Computational fluid dynamics | Mathematical analysis | Uniqueness | Fluid flow | Rotating | Stokes law (fluid mechanics) | Navier-Stokes equations
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13. Full Text Interaction of a two-layer vortex pair with a submerged cylindrical obstacle in a two layer rotating fluid
by Ryzhov, Eugene A and Sokolovskiy, Mikhail A
Physics of Fluids, ISSN 1070-6631, 05/2016, Volume 28, Issue 5, p. 56602
We consider the dynamics of a two-layer compensated vortex pair (heton) interacting with a submerged cylindrical obstacle of small height located in the lower... 
SURFACE VORTEX | REGULAR FLOW | BETA-PLANE | MECHANICS | VORTICES | STRATIFIED FLUID | PHYSICS, FLUIDS & PLASMAS | OCEAN | SEAMOUNT | MODEL | CONTOUR DYNAMICS | CHAOTIC ADVECTION | Rotating fluids | Shape | Computational fluid dynamics | Dynamics | Vortices | Contours | Vorticity | Dynamic stability | Cyclones | Stratification | Rotation | Cylinders
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14. Full Text SPECTRAL PROPERTIES IN $L^q$ OF AN OSEEN OPERATOR MODELLING FLUID FLOW PAST A ROTATING BODY
by FARWIG, REINHARD and NEUSTUPA, JIRÍ
Tohoku Mathematical Journal, Second Series, ISSN 0040-8735, 2010, Volume 62, Issue 2, pp. 287 - 309
We study the spectrum of a linear Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating... 
rotating obstacle | Eigenvalues | essential spectrum | modified Oseen problem | NAVIER-STOKES FLOW | MATHEMATICS | EXTERIOR | OBSTACLE
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15. Full Text On the Spectrum of an Oseen-Type Operator Arising from Flow past a Rotating Body
by Farwig, Reinhard and Neustupa, Jiří
Integral Equations and Operator Theory, ISSN 0378-620X, 10/2008, Volume 62, Issue 2, pp. 169 - 189
We present the description of the spectrum of a linear perturbed Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in... 
rotating obstacle | essential spectrum | Analysis | Eigenvalues | Secondary 35P99,76D07 | Mathematics | Primary 35Q35 | modified Oseen problem | Rotating obstacle | Essential spectrum | Modified Oseen problem | NAVIER-STOKES FLOW | MATHEMATICS | EXTERIOR | eigenvalues | FLUID | OBSTACLE
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16. Full Text Accuracy Analysis of the Boundary Integral Method for Steady Navier-Stokes Equations around a Rotating Obstacle
by Rong AN Kai-tai LI
应用数学学报：英文版, ISSN 0168-9673, 2016, Volume 32, Issue 2, pp. 529 - 536
This paper deals with the boundary integral method to study the Navier-Stokes equations around a rotating obstacle. The detail of this method is that the... 
rotating obstacle | 76M15 | error analysis | Theoretical, Mathematical and Computational Physics | exterior domain | boundary integral method | Mathematics | Applications of Mathematics | Math Applications in Computer Science | Navier-Stokes equations | EXISTENCE | MATHEMATICS, APPLIED | COUPLING METHOD | FLUID | EXTERIOR FLOW | FINITE-ELEMENT | Information science | Fluid dynamics | Analysis | Methods
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17. Full Text Leading-edge vortex shedding from rotating wings
by Kolomenskiy, Dmitry and Elimelech, Yossef and Schneider, Kai
Fluid Dynamics Research, ISSN 0169-5983, 2014, Volume 46, Issue 3, pp. 1 - 13
This paper presents a numerical investigation of the leading-edge vortices generated by rotating triangular wings at Reynolds number Re = 250. A series of... 
HOVERING FLIGHT | MECHANICS | REYNOLDS-NUMBER | VORTICES | PHYSICS, FLUIDS & PLASMAS | LIFT | PENALIZATION | FLOWS | FLAPPING WINGS | INSECT FLIGHT | OBSTACLES | Vortex shedding | Bubbles | Computational fluid dynamics | Vortices | Fluid flow | Mathematical models | Rotating | Three dimensional | Physics - Fluid Dynamics | Mechanics | Engineering Sciences | Fluids mechanics
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18. Full Text Stationary Navier-Stokes Flow Around a Rotating Obstacle
by Farwig, Reinhard and Hishida, Toshiaki
Funkcialaj Ekvacioj, ISSN 0532-8721, 2007, Volume 50, Issue 3, pp. 371 - 403
Consider a viscous incompressible fluid filling the whole 3-dimensional space exterior to a rotating body with constant angular velocity ω. By using a... 
Navier-Stokes flow | Weak stationary solutions | Rotating obstacle | Exterior domain | Weak-Lp spaces | spaces | Weak-L | EXISTENCE | EXTERIOR | MATHEMATICS, APPLIED | RIGID-BODY | navier-stokes flow | exterior domain | LIQUID | EQUATIONS | Weak-L-p spaces | rotating obstacle | MATHEMATICS | FLUID | weak stationary solutions
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19. Full Text Strong Solutions to the Navier-Stokes Equations Around a Rotating Obstacle
by Galdi, Giovanni P and Galdi, Giovanni P and Silvestre, Ana L and Silvestre, Ana L
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 06/2005, Volume 176, Issue 3, pp. 331 - 350
We study the existence of strong solutions to the three-dimensional Navier-Stokes initial-boundary value problem in the domain, Ω, exterior to a rigid body... 
Mechanics | Fluids | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | Mathematical and Computational Physics | Physics | Electromagnetism, Optics and Lasers | EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | FLUID | FLOW | Studies
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20. Full Text Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity
by Deuring, Paul and Deuring, Paul and Kračmar, Stanislav and Kračmar, Stanislav and Nečasová, Šárka and Nečasová, Šárka
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 2/2017, Volume 68, Issue 1, pp. 1 - 15
We consider weak (“Leray”) solutions to the stationary Navier–Stokes system with Oseen and rotational terms, in an exterior domain. It is shown the velocity... 
Engineering | Mathematical Methods in Physics | Pointwise decay | Asymptotic profile | Stationary incompressible Navier–Stokes system | Rotating body | 76D05 | 35Q30 | Theoretical and Applied Mechanics | 65N30 | MATHEMATICS, APPLIED | EQUATIONS | Stationary incompressible Navier-Stokes system | NONZERO VELOCITY | LERAY SOLUTIONS | STEADY-STATE OSEEN | TRANSLATING BODIES | SIMPLE PROOF | NAVIER-STOKES FLOWS | OBSTACLE | WEAK SOLUTIONS
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