Euler equations

Set of quasilinear hyperbolic equations governing adiabatic and inviscid flow

Entityhyperbolic partial differential equationQ375175

Instance of: hyperbolic partial differential equation

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In fluid dynamics, the Euler equations are a set of partial differential equations governing adiabatic and inviscid flow. They are named after Leonhard Euler. In particular, they correspond to the Navier–Stokes equations with zero viscosity and zero thermal conductivity.

Overview

All data

24 statements · 21% with external sources · numbers in brackets are citations

Named after: Leonhard Euler
Discovered: 1752
Released: 1757
Discovered by: Leonhard Euler
Defining formula: \frac{\partial \mathbf{v}}{\partial t} + (\mathbf{v}\cdot \nabla)\mathbf{v} = \mathbf{g} - \frac{1}{\rho}\nabla p
Copyright status: public domain applies to jurisdiction: countries with 100 years pma or shorter
public domain applies to jurisdiction: United States
Studied by: fluid dynamics
In defining formula: \mathbf v symbol represents: flow velocity
\nabla symbol represents: nabla operator
\rho symbol represents: mass density
t symbol represents: time
p symbol represents: pressure
\mathbf g symbol represents: gravitational field

On other databases

10 identifiers linking Euler equations across the web's reference databases

Data quality

statements

21%

externally sourced

Source last edited September 27, 2026. AIDB refreshes this page daily.

Suggest a fact or correction

Links

Use this data

curl https://aidb.si/api/v1/entities/Q375175

API docs, limits & keys

Cite this page

AIDB. (2026). Euler equations (Q375175). Retrieved from https://aidb.si/e/euler-equations-Q375175