partial differential equation
differential equation that contains unknown multivariable functions and their partial derivatives
parabolic partial differential equation
class of second-order linear partial differential equations
first-order partial differential equation
partial differential equation
Fisher's equation
PDE named after statistician and biologist Ronald Fisher
cauchy momentum equation
equation
Beltrami equation
partial differential equation
Liouville equation
differential equation for the evolution of distribution functions
mean curvature flow
parabolic partial differential equation
separable partial differential equation
one that can be broken into a set of separate equations of lower dimensionality (fewer independent variables) by a method of separation of variables
nonlinear partial differential equation
partial differential equation with nonlinear terms
evolution equation
type of partial differential equation describing the successive states of a systyem
stochastic partial differential equation
partial differential equations via random force terms and coefficients
Maxwell's equations
set of partial differential equations that describe how electric and magnetic fields are generated and altered by each other and by charges and currents
hyperbolic partial differential equation
partial differential equation (PDE) of order n that has a well-posed initial value problem for the first n−1 derivatives
Free boundary problem
Type of partial differential equation
elliptic differential equation
class of second-order linear partial differential equations
diffusion equation
equation that describes density changes of a material that is diffusing in a medium
Hitchin's equations
system of partial differential equations on a Riemann surface obtained by dimensional reduction of the Yang–Mills equations