Stephen Childress
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American applied mathematician
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Stephen Childressmathematics Degrees
Mathematics
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#10282
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Applied Mathematics
#358
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#385
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Measure Theory
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#2773
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Mathematics
Stephen Childress's Degrees
- PhD Applied Mathematics New York University
Why Is Stephen Childress Influential?
(Suggest an Edit or Addition)According to Wikipedia, William Stephen Childress is an American applied mathematician, author and professor emeritus at the Courant Institute of Mathematical Sciences. He works on classical fluid mechanics, asymptotic methods and singular perturbations, geophysical fluid dynamics, magnetohydrodynamics and dynamo theory, mathematical models in biology, and locomotion in fluids. He is also a co-founder of the Courant Institute of Mathematical Sciences's Applied Mathematics Lab.
Stephen Childress's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Flexible filaments in a flowing soap film as a model for one-dimensional flags in a two-dimensional wind (2000) (583)
- Topics in geophysical fluid dynamics. Atmospheric dynamics, dynamo theory, and climate dynamics. (1987) (443)
- Stretch, Twist, Fold: The Fast Dynamo (1995) (369)
- Nonlinear aspects of chemotaxis (1981) (362)
- Mechanics of swimming and flying (1977) (283)
- Pattern formation in a suspension of swimming microorganisms: equations and stability theory (1975) (195)
- Symmetry breaking leads to forward flapping flight (2004) (165)
- New Solutions of the Kinematic Dynamo Problem (1970) (161)
- Alpha-effect in flux ropes and sheets (1979) (120)
- Convection-Driven Hydromagnetic Dynamo (1972) (119)
- Stirring by squirmers (2010) (113)
- Viscous Flow Past a Random Array of Spheres (1972) (110)
- The slow motion of a sphere in a rotating, viscous fluid (1964) (98)
- Chemotactic Collapse in Two Dimensions (1984) (94)
- Non-Boussinesq effect: Thermal convection with broken symmetry (1997) (93)
- Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form (1989) (90)
- Scalar transport and alpha-effect for a family of cat's-eye flows (1989) (84)
- An Introduction to Theoretical Fluid Mechanics (2009) (83)
- On unidirectional flight of a free flapping wing (2006) (69)
- Convective dynamos with intermediate and strong fields (1982) (68)
- Stirring by swimming bodies (2009) (68)
- Transition from ciliary to flapping mode in a swimming mollusc: flapping flight as a bifurcation in ${\hbox{\it Re}}_\omega$ (2004) (68)
- Macroscopic Properties of Disordered Media (1982) (63)
- Stable hovering of a jellyfish-like flying machine (2014) (62)
- Construction of fast dynamos using unsteady flows and maps in three dimensions (1988) (60)
- An experimental investigation and a simple model of a valveless pump (2008) (60)
- A model of cell sorting. (1984) (52)
- Sculpting of an erodible body by flowing water (2012) (46)
- Long wavelength thermal convection between non-conducting boundaries (1980) (43)
- Solutions of Euler's Equations containing Finite Eddies (1966) (42)
- Wireless Powering of Ionic Polymer Metal Composites Toward Hovering Microswimmers (2012) (40)
- A bug on a raft: recoil locomotion in a viscous fluid (2011) (39)
- A thermodynamic efficiency for Stokesian swimming (2012) (38)
- Bounds on dissipation for Navier-Strokes flow with Kologorov forcing (2001) (37)
- Hovering of a passive body in an oscillating airflow (2006) (37)
- Self-similar evolution of a body eroding in a fluid flow (2013) (37)
- Chaotic mixing in a torus map. (2002) (36)
- Natural Locomotion in Fluids and on Surfaces (2012) (36)
- Fast Dynamo Theory (1992) (35)
- Natural locomotion in fluids and on surfaces : swimming, flying, and sliding (2012) (34)
- Effects of Rotation (1987) (32)
- Unsteady dynamo effects at large magnetic reynolds number (1989) (31)
- Large magnetic Reynolds number dynamo action in a spatially periodic flow with mean motion (1990) (30)
- Non-Boussinesq effect: Asymmetric velocity profiles in thermal convection (1998) (28)
- Mechanics of swimming and flying: Frontmatter (1981) (26)
- Scanning currents in Stokes flow and the efficient feeding of small organisms (1987) (25)
- On the Rapid Generation of Magnetic Fields (1985) (22)
- Intrinsic stability of a body hovering in an oscillating airflow. (2012) (21)
- Nearly two‐dimensional solutions of Euler’s equations (1987) (19)
- MECHANISM OF NOISE GENERATION IN THE TURBULENT BOUNDARY LAYER (1964) (19)
- Analytic theory of dynamos (1986) (17)
- Connection between corner vortices and shear layer instability in flow past an ellipse (1999) (16)
- CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. I. SPATIALLY PERIODIC FIELDS, (1967) (16)
- Hovering of a rigid pyramid in an oscillatory airflow (2010) (15)
- Mechanics of swimming and flying: Preface (1981) (13)
- A vortex-tube model of eddies in the inertial range (1984) (13)
- Pattern Formation in a Suspension of Swimming Microorganisms: Nonlinear Aspects (2004) (12)
- Inertial Swimming as a Singular Perturbation (2008) (12)
- Stretch, Twist, Fold (1995) (12)
- The effect of a strong magnetic field on two-dimensional flows of a conducting fluid (1963) (11)
- Growth of anti-parallel vorticity in Euler flows (2008) (10)
- Report on workshop on small-diffusivity dynamos and dynamical systems (1990) (9)
- Mathematical models in developmental biology (1978) (8)
- Eulerian mean flow from an instability of convective plumes. (2000) (8)
- Topological fluid dynamics for fluid dynamicists (2004) (7)
- Eroding dipoles and vorticity growth for Euler flows in $\mathbb{R}^{3}$ : axisymmetric flow without swirl (2015) (7)
- On some transport properties of baker's maps (1991) (6)
- Linear drag law for high-Reynolds-number flow past an oscillating body (2016) (6)
- Simple dynamical fast dynamos. (1993) (6)
- CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. II. THE SPHERICAL CONDUCTOR, (1967) (5)
- Eroding dipoles and vorticity growth for Euler flows in R 3 : the hairpin geometry as a model for finite-time blowup (2018) (5)
- The macrodynamics of spherical dynamos. (1983) (5)
- Macroscopic properties of disordered media : proceedings of a conference held at the Courant Institute, June 1-3, 1981 (1982) (5)
- A prospectus for a theory of variable variability (1981) (5)
- Note on Perfect Fast Dynamo Action in a Large-amplitude SFS Map (1994) (4)
- Large Magnetic Reynolds Number Dynamo Action in Steady Spatially Periodic Flows (1990) (4)
- Comparative flow visualization for steady and unsteady motions of a disk through a fluid (2015) (4)
- Vorticity Selection with Multiple Eddies in Two-Dimensional Steady Flow at High Reynolds Number (2001) (4)
- Bio-inspired hovering and locomotion via wirelessly powered ionic polymer metal composites (2011) (4)
- On the geometry of fast dynamo action in unsteady flows near the onset of Chaos (1993) (4)
- Flow Rectification in Loopy Network Models of Bird Lungs. (2021) (4)
- Walking on water (2010) (4)
- Flexible ® laments in a ̄ owing soap ® lm as a model for one-dimensional ̄ ags in a two-dimensional wind (4)
- Mechanics of swimming and flying: Analysis of the flagellum (1981) (3)
- Fluid‐Structure Interactions: Research in the Courant Institute's Applied Mathematics Laboratory (2012) (3)
- Models of vorticity growth in Euler Flows I. Axisymmetric flow without swirl (2003) (3)
- Equilibrium of a Magnetic Flux Tube in a Compressible Flow (1992) (3)
- ON THE FLOW OF A CONDUCTING FLUID OF SMALL VISCOSITY (1963) (3)
- Constraints on stretching by paired vortex structures I . Kinematics (3)
- Euler Singularities from the Lagrangian Viewpoint (2001) (2)
- Persistent Anomalies, Blocking and Predictability (1987) (2)
- REPORT ON WORKSHOP ON (1990) (2)
- A fast dynamo of αω-type (1997) (2)
- How Fast can Vorticity Stretch itself (2013) (2)
- Biophysical aerodynamics and the natural environment: A.J. Ward-Smith, John Wiley and Sons, New York, 1985, xii + 172 pp., $38.95 (hard cover) (1986) (2)
- Effects of Shallowness (1987) (2)
- Case Sudy 2: Turing's model of chemical morphogenesis (2005) (1)
- Convection induced by motile particles (1976) (1)
- Kinematic Dynamo Theory (1987) (1)
- Erratum: Viscous flow past a random array of spheres (1974) (1)
- Mechanics of swimming and flying: Swimming of a sheet (1981) (1)
- Vortex stability and inertial-range cascades (1985) (1)
- Mechanics of swimming and flying: The Eulerian realm: the inertial force (1981) (1)
- Magnetic Field Generation in Electrically Conducting Fluids (H. K. Moffatt) (1979) (1)
- Turbulent Baker's Maps (1995) (1)
- Mechanics of swimming and flying: General considerations (1981) (1)
- Resistive-force theory of flagellar propulsion (1981) (1)
- Models of cell interaction based on differential adhesion. (1984) (1)
- Segmentation of insect embryos (2015) (0)
- Mechanics of swimming and flying: The biology of low-Reynolds-number locomotion (1981) (0)
- FAST DYNAMO ACTION IN THREE-DIMENSIONAL CHAOTIC MAPS (1989) (0)
- The Hydrodynamic Basis for Geomagnetism (1987) (0)
- Area waves on a slender vortex revisited (2021) (0)
- Lecture Notes : Complex Variables II , Spring 2007 (2007) (0)
- Radiation Balance and Equilibrium Models (1987) (0)
- Hovering of a free rigid pyramid in an oscillatory air flow (2009) (0)
- Ocean stirring by swimming bodies (2010) (0)
- The origins of movement (2015) (0)
- Mechanics of swimming and flying: Ciliary propulsion (1981) (0)
- Constraints on stretching by paired vortex structures II . The asymptotic dynamics of blow-up in three dimensions (0)
- WITHDRAWN: Valveless Pumping: Theory and Experimental Validation (2005) (0)
- Spontaneous Flapping Flight (2004) (0)
- Differential adhesion and morphogenesis (2015) (0)
- AN UNSTEADY PROBLEM IN MAGNETOHYDRODYNAMICS (1963) (0)
- Rheology of a rotating suspension (1985) (0)
- Some mathematical questions in biology (1981) (0)
- Fish Locomotion. By R. W. BLAKE. Cambridge University Press, 1983. 208 pp. £29.95. (1985) (0)
- The fluid continuum (2009) (0)
- Glaciation Cycles: Phenomenology and Slow Processes (1987) (0)
- The boundary layer (2009) (0)
- Eroding dipoles and vorticity growth for Euler flows in $ \scriptstyle{\mathbb{R}}^3$: The hairpin geometry as a model for finite-time blowup (2016) (0)
- Models of Geomagnetism: A Survey (1987) (0)
- Hovering of a jellyfish-like flying machine (2013) (0)
- Models of vorticity growth in Euler Flows II. (2007) (0)
- Lift production of a hovering pyramid in an oscillatory airflow (2009) (0)
- Notes sur les Ecoulements Rotationnels de Fluides Parfaits. By R. K. ZEYTOUNIAN. Springer, 1974. 407 pp. $10.80 or DM 28. (1976) (0)
- Some notes on locomotion at low and intermediate Reynolds numbers (0)
- A model for singularity formation in three-dimensional Euler and Navier-Stokes flows (2012) (0)
- Approximations of Brinkman type (1982) (0)
- The Quasi-Geostrophic Approximation (1987) (0)
- Mechanics of swimming and flying: The swimming of fish (1981) (0)
- Vortex shedding and hovering of a rigid body in an oscillating flow (2009) (0)
- Lift and drag in ideal fluids (2009) (0)
- Self-similarity of an eroding body (2012) (0)
- A Valveless Pump (2004) (0)
- Effects of Stratification: Baroclinic Instability (1987) (0)
- Abstract Submitted for the DFD13 Meeting of The American Physical Society (2013) (0)
- Somite formation in vertebrates (2015) (0)
- ON MOTION OF A CONDUCTING FLUID PAST A FINITE CYLINDRICAL BODY IN THE PRESENCE OF A STRONG MAGNETIC FIELD (1961) (0)
- Conservation of mass and momentum (2009) (0)
- Mechanics of swimming and flying: References (1981) (0)
- On the stable hovering of an asymmetric body in oscillatory airflows (2010) (0)
- Poster: Portrait of a flow in three colors (2014) (0)
- 2008 Program of Study: Perspectives and Challenges in GFD (Geophysical Fluid Dynamics) (2009) (0)
- Notes on compressible flow (0)
- Secondary Vortices and Instabilities in the Spiral Wake Shed Behind a Thin Ellipse (1997) (0)
- The Eulerian realm: the vortex force (1981) (0)
- The Big Mo (2009) (0)
- Mechanics of swimming and flying: The Stokesian realm: Re ≪ 1 (1981) (0)
- Changing Flow Patterns and Successive Bifurcations (1987) (0)
- A filamentary cascade model of the inertial range (2019) (0)
- Solutions of Euler's Equations Illustrating Effects of Finite Eddies (1962) (0)
- Viscosity and the Navier-Stokes equations (2009) (0)
- Mechanics of swimming and flying: Some aspects of the aerodynamics of birds and insects (1981) (0)
- Bifurcation to forward flapping flight at intermediate Reynolds number. (2003) (0)
- Mechanics of swimming and flying: Interactions (1981) (0)
- Mathematical Models in Molecular and Cellular Biology (Lee A. Segel, ed.) (1983) (0)
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