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Nonlinear Analysis, ISSN 0362-546X, 04/2019, Volume 181, pp. 119 - 140
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 8/2014, Volume 213, Issue 2, pp. 689 - 703
Journal Article
Physics of Fluids, ISSN 1070-6631, 03/2017, Volume 29, Issue 3, p. 36603
Temporal entrainment characteristics and mixing processes of sediment-laden turbidity currents interacting with a rectangular obstacle are investigated through... 
MECHANICS | ROTATING FLUID | DEPOSITS | CHANNEL | PHYSICS, FLUIDS & PLASMAS | GRAVITY-CURRENT FLOWS | BOTTOM | TURBIDITY CURRENTS
Journal Article
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
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 08/2018, Volume 41, Issue 12, pp. 4506 - 4527
We study the Dirichlet problem for the stationary Oseen equations around a rotating body in an exterior domain. Our main results are the existence and... 
weak solutions | stationary Oseen equations | very weak solutions | rotating obstacles | Lq‐estimates | estimates | Mathematical analysis | Sobolev space | Rotating bodies | Uniqueness | Dirichlet problem | Estimates | Rotation
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 04/2020, Volume 52, p. 103020
Consider the stationary motion of an incompressible Navier–Stokes fluid around a rotating body which is also moving in the direction of the axis of rotation... 
Weak solutions | Rotating obstacle | Stationary Navier–Stokes equations | Very weak solutions | Exterior domains
Journal Article
by Kim, D
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, ISSN 1468-1218, 04/2020, Volume 52
Consider the stationary motion of an incompressible Navier-Stokes fluid around a rotating body R-3 \ Omega which is also moving in the direction of the axis of... 
Stationary Navier-Stokes equations | MATHEMATICS, APPLIED | Weak solutions | FLUID | Very weak solutions | LIQUID | STEADY-STATE OSEEN | Rotating obstacle | FLOW | Exterior domains | SIMPLE PROOF
Journal Article
by Kim, D
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, ISSN 0170-4214, 08/2018, Volume 41, Issue 12, pp. 4506 - 4527
We study the Dirichlet problem for the stationary Oseen equations around a rotating body in an exterior domain. Our main results are the existence and... 
EXISTENCE | MATHEMATICS, APPLIED | RIGID-BODY | THEOREM | SPACES | LIQUID | weak solutions | very weak solutions | FLOW | NAVIER-STOKES EQUATIONS | stationary Oseen equations | rotating obstacles | DOMAINS | L-q-estimates
Journal Article
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 07/2018, Volume 38, Issue 7, pp. 3387 - 3405
Journal Article
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
Journal Article
Journal of Micro-Bio Robotics, ISSN 2194-6418, 6/2018, Volume 14, Issue 1, pp. 41 - 49
Magnetic microrobots have been shown to be effective at navigating microscale environments which has led to many investigations reguarding the motion control... 
Engineering | Microrobot | Obstacle avoidance | Magnetic control | Electronics and Microelectronics, Instrumentation | Manufacturing, Machines, Tools | Path planning | Nanotechnology | Robotics and Automation
Journal Article
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 09/2016, Volume 17, Issue 6, pp. 277 - 289
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 2, pp. 209 - 214
This work presents an approximation method for Navier–Stokes equations around a rotating obstacle. The detail of this method is that the exterior domain is... 
Rotating obstacle | Navier–Stokes equations | Boundary integral method | Navier-Stokes equations | MATHEMATICS, APPLIED | Fluid dynamics | Errors | Obstacles | Approximation | Mathematical analysis | Exteriors | Nonlinearity | Rotating
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 11/2011, Volume 284, Issue 16, pp. 2065 - 2077
Consider a viscous incompressible flow around a body in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb R^3$\end{document}... 
rotating obstacle | Navier‐Stokes flow | MSC 35B40 | leading term | 76D05 | 35Q30 | asymptotic profile | Asymptotic profile | Navier-Stokes flow | Leading term | Rotating obstacle | EXISTENCE | MATHEMATICS | EXTERIOR | OPERATOR | FLUID | EQUATIONS | BODY
Journal Article
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
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 05/2015, Volume 425, pp. 41 - 49
We consider nonlinear waves driven by curvature in the presence of periodically distributed obstacles. When the obstacles are small, Matano et al. (2006)... 
Numerical simulation | Obstacle | Nonlinear waves driven by curvature | Propagation speed | SYSTEM | FRONT CURVATURE | ISOLATED CARDIAC-MUSCLE | PHYSICS, MULTIDISCIPLINARY | REACTION-DIFFUSION-EQUATIONS | BOUNDARY | LIMIT | ROTATING SPIRAL WAVES | Wave propagation
Journal Article
应用数学学报:英文版, ISSN 0168-9673, 2016, Volume 32, Issue 2, pp. 529 - 536
Journal Article
Journal of Mathematical Fluid Mechanics, ISSN 1422-6928, 3/2016, Volume 18, Issue 1, pp. 133 - 156
We show that the question of stability of a steady incompressible Navier-Stokes flow $${\mathrm{V}}$$ V in a 3D exterior domain $${\Omega}$$ Ω is essentially a... 
Mathematical Methods in Physics | Secondary 76D05 | Fluid- and Aerodynamics | 35B35 | Primary 35Q30 | Oseen equation | Physics | stability | Classical Continuum Physics | 76E09 | Navier-Stokes equations | EXISTENCE | EXTERIOR DOMAINS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | OPERATOR | PHYSICS, FLUIDS & PLASMAS | STATIONARY SOLUTIONS | ROTATING BODY
Journal Article
Annali dell'Universita di Ferrara, ISSN 0430-3202, 2009, Volume 55, Issue 2, pp. 263 - 277
We analyze the spatial anisotropic profiles at infinity of steady Stokes and Navier--Stokes flows around a rotating obstacle. It is shown that the Stokes flow... 
Asymptotic profile | Steady Stokes flow | Rotating obstacle | Steady Navier-Stokes flow | Anisotropy | Analysis | Universities and colleges
Journal Article
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