76-XX Fluid mechanics {For general continuum mechanics, see 74Axx or other parts of 74-XX}
// 74Axx ~ 73Bxx // 74-XX ~ 73-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
// Work ~ papers
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
/:< , Potential theory
76B03 Existence, uniqueness, and regularity theory [See also 35R35]
76B05
Airfoil theory
76B07 Free-surface potential flow
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
/:> Airfoil and
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction [See also 35Q30, 35Q53]
// Scattering ~ diffraction /:> , 35Q30
76B20 Ship waves
76B25 Solitary waves [See also 35Q51]
Solitary and cnoidal waves [See also 35Q51]
76B35
Random waves, inviscid fluids
76B40
Added mass computations
76B45 Capillarity (surface tension) [See also 76D45]
/:> (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
76Cxx
Incompressible inviscid fluids, vorticity flows
76C05
Vorticity flows
76C10
Internal waves
76C15
Atmospheric waves
76C20
Rossby waves
76C99
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
/:> And related (Orseen, etc.)
76D08 Lubrication theory
76D09 Viscous-inviscid interaction
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
Boundary-layer theory
76D15
Boundary-layer separation and reattachment
76D17 Viscous vortex flows
76D20
Higher-order effects in boundary layers
76D25 Wakes and jets
76D27 Other free-boundary flows; Hele-Shaw flows
76D30
Singular perturbation problems
76D33 Waves
76D35
Random waves, viscous fluids
76D45 Capillarity (surface tension) [See also 76B45]
/:> (Surface tension)
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
Stability of parallel flows
76E06 Convection
76E07 Rotation
76E09 Stability and instability of nonparallel flows
76E10
Inertial instability
76E15 Absolute and convective instability and stability
Convective instability
76E17 Interfacial stability and instability
76E19 Compressibility effects
76E20 Stability and instability of geophysical and astrophysical flows
/:> Stability and
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
Magnetohydrodynamic and electrohydrodynamic instabilities
76E30 Nonlinear effects
76E99 None of the above, but in this section
76Fxx Turbulence [See also 60Gxx, 60Jxx]
/:< 58F13, 58F27,
76F02 Fundamentals
76F05 Isotropic turbulence; homogeneous turbulence
Homogeneous isotropic turbolence
76F06 Transition to turbulence
76F10 Shear flows
76F20 Dynamical systems approach to turbulence [See also 37-XX]
Turbolence via chaos techniques
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]
/:< , 73D05
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]
Compressible fluids, general [See also 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
Hydrodynamic sound, acoustic
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
76T05
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]
Stratified and reacting fluids
76W05 Magnetohydrodynamics and electrohydrodynamics
76X05 Ionized gas flow in electromagnetic fields; plasmic flow [See also 82D10]
/:> [See also 82D10]
76Y05 Quantum hydrodynamics and relativistic hydrodynamics [See also 83C55, 85A30]
76Zxx Biological fluid mechanics [See also 74F10, 74L10, 92Cxx]
/:> 74F10, 74L10,
76Z05 Physiological flows [See also 92C35]
76Z10 Biopropulsion in water and in air
76Z99 None of the above, but in this section