Category:Partial differential equations

D

• ► Differential systems‎ (4 P)
• ► Domain decomposition methods‎ (11 P)

E

• ► Elliptic partial differential equations‎ (2 C, 12 P)
• ► Equations of fluid dynamics‎ (43 P)
• ► Exactly solvable models‎ (1 C, 31 P)

H

• ► Hyperbolic partial differential equations‎ (3 P)

P

• ► Parabolic partial differential equations‎ (9 P)
• ► Potential theory‎ (2 C, 22 P)

S

• ► Sobolev spaces‎ (14 P)
• ► Solitons‎ (23 P)

W

• ► Wave mechanics‎ (3 C, 75 P)

• List of partial differential equation topics

*

• Change of variables (PDE)
• Partial differential equation

A

• Algebraic analysis
• Analytic semigroup
• Asymptotic homogenization

B

• Babuška–Lax–Milgram theorem
• Bateman transform
• Benjamin–Bona–Mahony equation
• Bessel potential
• Bidomain model
• Bochner space
• Bogomol'nyi–Prasad–Sommerfield bound
• Boltzmann equation
• Borel's lemma
• Boundary value problem

C

• Cahn–Hilliard equation
• Calogero–Degasperis–Fokas equation
• Camassa–Holm equation
• Cauchy momentum equation
• Cauchy problem
• Cauchy surface
• Cauchy–Riemann equations
• Chaplygin's equation
• Computational electromagnetics
• Constraint counting
• Continuity equation

D

• D'Alembert's formula
• D-module
• Davey–Stewartson equation
• Diffiety
• Diffusion equation
• Dirac equation
• Dirichlet problem
• Dirichlet's principle
• Dispersionless equation
• Dispersive partial differential equation
• Domain (mathematical analysis)
• Duhamel's principle

E

• Eikonal equation
• Einstein field equations
• Electromagnetic wave equation
• Elliptic partial differential equation
• Energy operator
• Ernst equation
• Euler–Lagrange equation
• Euler–Poisson–Darboux equation
• Euler–Tricomi equation
• Exner equation
• Extended finite element method

F

• Finite element method
• First-order partial differential equation
• Fisher's equation
• Föppl–von Kármán equations
• Fundamental solution

G

• Gårding's inequality
• Generalized Korteweg–de Vries equation
• Green's function for the three-variable Laplace equation
• Groundwater flow equation

H

• Hamilton–Jacobi equation
• Hamilton–Jacobi–Bellman equation
• Harmonic conjugate
• Hartree equation
• Hasegawa–Mima equation
• Hearing the shape of a drum
• Holmgren's uniqueness theorem
• Homotopy principle
• Hörmander's condition
• Hunter–Saxton equation
• Hypoelliptic operator

I

• Inhomogeneous electromagnetic wave equation
• Integrability conditions for differential systems
• Integrable system
• Invariant factorization of LPDOs
• Inverse scattering transform
• Ishimori equation

J

• John's equation

K

• Kadomtsev–Petviashvili equation
• Kaup–Kupershmidt equation
• KdV hierarchy
• Klein–Gordon equation
• Korteweg–de Vries equation
• Kuramoto model

L

• Lamm equation
• Landau–Lifshitz model
• Landau–Lifshitz–Gilbert equation
• Large eddy simulation
• Larmor formula
• Lin–Tsien equation

M

• Mason–Weaver equation
• Maximum principle
• Maxwell's equations
• Maxwell's equations in curved spacetime
• Method of characteristics
• Method of quantum characteristics
• Mixed boundary condition
• Monge cone
• Monge equation
• Monge–Ampère equation
• Multidimensional system
• Multigrid method

N

• Navier–Stokes equations
• Newtonian potential
• Noether's second theorem
• Noether's theorem
• List of nonlinear partial differential equations
• Nonlinear Schrödinger equation
• Numerical partial differential equations

O

• Overdetermined system

P

• Parametrix
• Perfectly matched layer
• Perron method
• Poincaré–Lelong equation
• Poisson's equation
• Potential theory
• Primitive equations
• Pseudo-differential operator
• Pseudoanalytic function

R

• Rarita–Schwinger equation
• Ricci flow
• Richards equation
• Riemann–Hilbert problem
• Riesz potential

S

• Saint-Venant's compatibility condition
• Screened Poisson equation
• Secondary calculus and cohomological physics
• Shallow water equations
• Sommerfeld radiation condition
• Spherical harmonics
• Spheroidal wave function
• Stefan problem
• Streamline diffusion

T

• Theoretical and experimental justification for the Schrödinger equation

V

• Variational inequality
• Vibrations of a circular membrane

W

• Weak formulation
• Well-posed problem
• Weyl's lemma (Laplace equation)
• Wiener–Hopf method

Y

• Yang–Mills–Higgs equations
• Young–Laplace equation

Z

• Zakharov system
• Zakharov–Schulman system