Navier--Stokes Equations, Boussinesq Equation - EqWorld

EqWorld

The World of Mathematical Equations

Home Page Exact Solutions Methods Software Education About This Site Math Forums

Exact Solutions > Nonlinear Partial Differential Equations > Higher-Order Partial Differential Equations

PDF version of this page

6. Fourth-Order Partial Differential Equations

w_tt + (ww_x)_x + w_xxxx = 0. Boussinesq equation.
w_y(Δw)_x − w_x(Δw)_y = a ΔΔw. Equation of motion of viscous fluid; it is obtained from the Navier--Stokes equations.

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Copyright © 2004-2017 Andrei D. Polyanin