Euler equations

E32276

The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.

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All labels observed (5)

Statements (51)

Predicate Object
instanceOf conservation law
fluid dynamics equation
system of partial differential equations
appliesTo compressible flow
incompressible flow
inviscid flow
assumes continuum hypothesis
inviscid fluid
zero viscosity
describes motion of an ideal fluid
dimension one-dimensional form
three-dimensional form
two-dimensional form
expresses conservation of energy
conservation of mass
conservation of momentum
field applied mathematics
continuum mechanics
fluid dynamics
hasComponent continuity equation
energy equation
momentum equation
hasFormulation conservative form
nonconservative form
primitive variable form
vector form
hasProperty Galilean invariant
can develop discontinuities
can develop shock waves
time-dependent
hasUnknown density field
fluid velocity field
internal energy or temperature field
pressure field
isLimitCaseOf Navier–Stokes equations
surface form: Navier–Stokes equations with zero viscosity
mathematicalType hyperbolic system
nonlinear partial differential equation
namedAfter Leonhard Euler
relatedTo Bernoulli equation
Navier–Stokes equations
potential flow theory
requires equation of state
solvedBy Godunov-type schemes
finite difference methods
finite volume methods
spectral methods
usedIn aerodynamics
astrophysical fluid dynamics
compressible aerodynamics
gas dynamics
weather and climate modeling

How these facts were elicited

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Instruction
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# Requirements
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Input
Subject: Euler equations
Description of subject: The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.

Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Navier–Stokes equations relatedTo Euler equations
New Keynesian economics usesTool Euler equations
Boltzmann equation hasLimit Euler equations
this entity surface form: Euler equations (hydrodynamic limit)
Bjerknes circulation theorem (applications in meteorology) relatedTo Euler equations
subject surface form: Bjerknes circulation theorem
this entity surface form: Kelvin circulation theorem
Bernoulli equation relatedConcept Euler equations
this entity surface form: Euler equations of fluid motion
Jeans instability governingEquations Euler equations
this entity surface form: Euler equation