76-XX
|
Fluid mechanics
{For general continuum mechanics, see
74Axx
or other parts of
74-XX}
|
76-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
76-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
76-02
|
Research exposition (monographs, survey articles)
|
76-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
76-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
76-05
|
Experimental work
|
76-06
|
Proceedings, conferences, collections, etc.
|
76Axx
|
Foundations, constitutive equations, rheology
|
76A02
|
Foundation of fluids mechanics
|
76A05
|
Non-Newtonian fluids
|
76A10
|
Viscoelastic fluids
|
76A15
|
Liquid crystals
[See also
82D30]
|
76A20
|
Thin films
|
76A25
|
Superfluids (classical aspects)
|
76A99
|
None of the above but in this section
|
76Bxx
|
Incompressible inviscid fluids
|
76B03
|
Existence, uniqueness, and regularity theory
[See also
35R35]
|
76B07
|
Free-surface potential flow
|
76B10
|
Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
|
76B15
|
Water waves, gravity waves; dispersion and scattering, nonlinear interaction
[See also
35Q30,
35Q53]
|
76B20
|
Ship waves
|
76B25
|
Solitary waves
[See also
35Q51]
|
76B45
|
Capillarity (surface tension)
[See also
76D45]
|
76B47
|
Vortex flows
|
76B55
|
Internal waves
|
76B60
|
Atmospheric waves
[See also
86A10]
|
76B65
|
Rossby waves
[See also
86A05,
86A10]
|
76B70
|
Stratification effects in inviscid fluids
|
76B75
|
Flow control and optimization
[See also
49Q10,
93C20,
93C95]
|
76B99
|
None of the above, but in this section
|
76Dxx
|
Incompressible viscous fluids
|
76D03
|
Existence, uniqueness, and regularity theory
[See also
35Q30,
35Q35]
|
76D05
|
Navier - Stokes equations
[See also
35Q30]
|
76D06
|
Statistical solutions of the Navier - Stokes and related equations
[See also
60H30,
76M35]
|
76D07
|
Stokes and related (Oseen, etc.) flows
|
76D08
|
Lubrication theory
|
76D09
|
Viscous-inviscid interaction
|
76D10
|
Boundary-layer theory, separation and reattachment, higher-order effects
|
76D17
|
Viscous vortex flows
|
76D25
|
Wakes and jets
|
76D27
|
Other free-boundary flows; Hele - Shaw flows
|
76D33
|
Waves
|
76D45
|
Capillarity (surface tension)
[See also
76B45]
|
76D50
|
Stratification effects in viscous fluids
|
76D55
|
Flow control and optimization
[See also
49Q10,
93C20,
93C95]
|
76D99
|
None of the above, but in this section
|
76Exx
|
Hydrodynamic stability
|
76E05
|
Parallel shear flows
|
76E06
|
Convection
|
76E07
|
Rotation
|
76E09
|
Stability and instability of nonparallel flows
|
76E15
|
Absolute and convective instability and stability
|
76E17
|
Interfacial stability and instability
|
76E19
|
Compressibility effects
|
76E20
|
Stability and instability of geophysical and astrophysical flows
|
76E25
|
Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
|
76E30
|
Nonlinear effects
|
76E99
|
None of the above, but in this section
|
76Fxx
|
Turbulence
[See also
60Gxx,
60Jxx]
|
76F02
|
Fundamentals
|
76F05
|
Isotropic turbulence; homogeneous turbulence
|
76F06
|
Transition to turbulence
|
76F10
|
Shear flows
|
76F20
|
Dynamical systems approach to turbulence
[See also
37-XX]
|
76F25
|
Turbulent transport, mixing
|
76F30
|
Renormalization and other field-theoretical methods
[See also
81T99]
|
76F35
|
Convective turbulence
[See also
76E15,
76Rxx]
|
76F40
|
Turbulent boundary layers
|
76F45
|
Stratification effects
|
76F50
|
Compressibility effects
|
76F55
|
Statistical turbulence modeling
[See also
76M35]
|
76F60
|
K-epsilon modeling
|
76F65
|
Direct numerical and large eddy simulation of turbulence
|
76F70
|
Control of turbulent flows
|
76F99
|
None of the above, but in this section
|
76G25
|
General aerodynamics and subsonic flows
|
76H05
|
Transonic flows
|
76J20
|
Supersonic flows
|
76K05
|
Hypersonic flows
|
76L05
|
Shock waves and blast waves
[See also
35L67]
|
76Mxx
|
Basic methods in fluid mechanics
[See also
65-XX]
|
76M10
|
Finite element methods
|
76M12
|
Finite volume methods
|
76M15
|
Boundary element methods
|
76M20
|
Finite difference methods
|
76M22
|
Spectral methods
|
76M23
|
Vortex methods
|
76M25
|
Other numerical methods
|
76M27
|
Visualization algorithms
|
76M28
|
Particle methods and lattice-gas methods
|
76M30
|
Variational methods
|
76M35
|
Stochastic analysis
|
76M40
|
Complex variable methods
|
76M45
|
Asymptotic methods, singular perturbations
|
76M50
|
Homogenization
|
76M55
|
Dimensional analysis and similarity
|
76M60
|
Symmetry analysis, Lie group and algebra methods
|
76M99
|
None of the above, but in this section
|
76Nxx
|
Compressible fluids and gas dynamics, general
|
76N10
|
Existence, uniqueness, and regularity theory
[See also
35L60,
35L65,
35Q30]
|
76N15
|
Gas dynamics, general
|
76N17
|
Viscous-inviscid interaction
|
76N20
|
Boundary-layer theory
|
76N25
|
Flow control and optimization
|
76N99
|
None of the above, but in this section
|
76P05
|
Rarefied gas flows, Boltzmann equation
[See also
82B40,
82C40,
82D05]
|
76Q05
|
Hydro- and aero-acoustics
|
76Rxx
|
Diffusion and convection
|
76R05
|
Forced convection
|
76R10
|
Free convection
|
76R50
|
Diffusion
[See also
60J60]
|
76R99
|
None of the above, but in this section
|
76S05
|
Flows in porous media; filtration; seepage
|
76Txx
|
Two-phase and multiphase flows
|
76T10
|
Liquid-gas two-phase flows, bubbly flows
|
76T15
|
Dusty-gas two-phase flows
|
76T20
|
Suspensions
|
76T25
|
Granular flows
[See also
74A60,
74C99,
74E20]
|
76T30
|
Three or more component flow
|
76T99
|
None of the above, but in this section
|
76U05
|
Rotating fluids
|
76V05
|
Reaction effects in flows
[See also
80A32]
|
76W05
|
Magnetohydrodynamics and electrohydrodynamics
|
76X05
|
Ionized gas flow in electromagnetic fields; plasmic flow
[See also
82D10]
|
76Y05
|
Quantum hydrodynamics and relativistic hydrodynamics
[See also
83C55,
85A30]
|
76Zxx
|
Biological fluid mechanics
[See also
74F10,
74L10,
92Cxx]
|
76Z05
|
Physiological flows
[See also
92C35]
|
76Z10
|
Biopropulsion in water and in air
|
76Z99
|
None of the above, but in this section
|