User:Amatdiou/Books/Partial differential equations

Partial differential equations

 * Category:Partial differential equations
 * List of partial differential equation topics
 * Change of variables (PDE)
 * Consumption distribution
 * Partial differential equation
 * A priori estimate
 * Algebraic analysis
 * Alternating direction implicit method
 * User:JeffJohner/sandbox
 * Analytic semigroup
 * Asymptotic homogenization
 * Babuška–Lax–Milgram theorem
 * Bateman transform
 * Beltrami equation
 * Benjamin–Bona–Mahony equation
 * Benjamin–Ono equation
 * Bessel potential
 * Black-oil equations
 * Bochner space
 * Bogomol'nyi–Prasad–Sommerfield bound
 * Boltzmann equation
 * Borel's lemma
 * Boundary value problem
 * Burgers' equation
 * Allen–Cahn equation
 * Cahn–Hilliard equation
 * Calabi flow
 * Calogero–Degasperis–Fokas equation
 * Caloric polynomial
 * Camassa–Holm equation
 * Cartan–Kähler theorem
 * Cartan–Kuranishi prolongation theorem
 * Cauchy momentum equation
 * Cauchy problem
 * Cauchy surface
 * Cauchy–Kowalevski theorem
 * Cauchy–Riemann equations
 * Chaplygin's equation
 * Clairaut's equation
 * Computational electromagnetics
 * Conserved current
 * Constraint counting
 * Continuity equation
 * D'Alembert's formula
 * D-module
 * Davey–Stewartson equation
 * Degasperis–Procesi equation
 * Derivation of the Navier–Stokes equations
 * Diffiety
 * Diffuse element method
 * Diffusion equation
 * Dirac equation
 * Dirac equation in curved spacetime
 * Dirichlet eigenvalue
 * Dirichlet problem
 * Dirichlet's energy
 * Dirichlet's principle
 * Discontinuous Galerkin method
 * Dispersionless equation
 * Dispersive partial differential equation
 * Domain (mathematical analysis)
 * Duhamel's principle
 * Dynamic simulation
 * Eikonal equation
 * Einstein field equations
 * Electromagnetic wave equation
 * Elliptic boundary value problem
 * Elliptic partial differential equation
 * Energy operator
 * Ernst equation
 * Euler–Lagrange equation
 * Euler–Poisson–Darboux equation
 * Euler–Tricomi equation
 * Exner equation
 * Extended discrete element method
 * Extended finite element method
 * Finite element method
 * Dynamic Design Analysis Method
 * First-order partial differential equation
 * Fisher's equation
 * Föppl–von Kármán equations
 * Fourier integral operator
 * Free boundary problem
 * Fundamental solution
 * Gårding's inequality
 * Generalized Korteweg–de Vries equation
 * Green's function for the three-variable Laplace equation
 * Groundwater flow equation
 * Hadamard's method of descent
 * Hamilton–Jacobi equation
 * Hamilton–Jacobi–Bellman equation
 * Harmonic conjugate
 * Hartree equation
 * Hasegawa–Mima equation
 * Hearing the shape of a drum
 * Hilbert's nineteenth problem
 * Holmgren's uniqueness theorem
 * Homotopy analysis method
 * Homotopy perturbation method
 * Homotopy principle
 * Hopf lemma
 * Hörmander's condition
 * Hunter–Saxton equation
 * Hypoelliptic operator
 * Inhomogeneous electromagnetic wave equation
 * Integrability conditions for differential systems
 * Integrable system
 * Invariant factorization of LPDOs
 * Inverse scattering transform
 * Ishimori equation
 * Isothermal coordinates
 * John's equation
 * Kadomtsev–Petviashvili equation
 * Kansa method
 * Kaup–Kupershmidt equation
 * KdV hierarchy
 * Klein–Gordon equation
 * Korteweg–de Vries equation
 * Kuramoto model
 * Lamm equation
 * Landau–Lifshitz model
 * Landau–Lifshitz–Gilbert equation
 * Large eddy simulation
 * Larmor formula
 * Lewy's example
 * Lin–Tsien equation
 * Lions–Lax–Milgram theorem
 * Madelung equations
 * Mason–Weaver equation
 * Maximum principle
 * History of Maxwell's equations
 * List of textbooks in electromagnetism
 * Matrix representation of Maxwell's equations
 * Maxwell's equations
 * Maxwell's equations in curved spacetime
 * Method of characteristics
 * Method of lines
 * Method of quantum characteristics
 * Minkowski problem
 * Mixed boundary condition
 * Monge cone
 * Monge equation
 * Monge–Ampère equation
 * Motz's problem
 * Multidimensional systems
 * Multigrid method
 * Navier–Stokes equations
 * Navier–Stokes existence and smoothness
 * Neumann–Poincaré operator
 * Newtonian potential
 * Noether's second theorem
 * Noether's theorem
 * List of nonlinear partial differential equations
 * Nonlinear Schrödinger equation
 * Novikov–Veselov equation
 * Numerical partial differential equations
 * Obstacle problem
 * Omega equation
 * Overdetermined system
 * Parametrix
 * Partial differential algebraic equation
 * Particle in a spherically symmetric potential
 * Perfectly matched layer
 * Perron method
 * Petrov–Galerkin method
 * Phase space method
 * Poincaré–Lelong equation
 * Poisson's equation
 * Population balance equation
 * Potential theory
 * Primitive equations
 * Pseudo-differential operator
 * Pseudoanalytic function
 * Rarita–Schwinger equation
 * Reaction–diffusion–advection equation
 * Ricci flow
 * Richards equation
 * Riemann invariant
 * Riemann–Hilbert problem
 * Riesz potential
 * Saint-Venant's compatibility condition
 * Theoretical and experimental justification for the Schrödinger equation
 * Screened Poisson equation
 * Secondary calculus and cohomological physics
 * Seiberg–Witten invariant
 * Semi-elliptic operator
 * Separation of variables
 * Shallow water equations
 * Signorini problem
 * Sobolev spaces for planar domains
 * Solid harmonics
 * Solution algorithms for pressure-velocity coupling in steady flows
 * Sommerfeld radiation condition
 * Spectral element method
 * Spherical harmonics
 * Spherical mean
 * Spheroidal wave function
 * Stefan problem
 * Stochastic partial differential equation
 * Stochastic processes and boundary value problems
 * Streamline diffusion
 * Swift–Hohenberg equation
 * Variational inequality
 * Vibrations of a circular membrane
 * Viscosity solution
 * Wave
 * Weak formulation
 * Well-posed problem
 * Weyl law
 * Weyl's lemma (Laplace equation)
 * Whitham equation
 * Wiener–Hopf method
 * Yang–Mills–Higgs equations
 * Young–Laplace equation
 * Zakharov system
 * Zakharov–Schulman system


 * Category:Boundary conditions
 * Born–von Karman boundary condition
 * Cauchy boundary condition
 * Dirichlet boundary condition
 * Helical boundary conditions
 * Initial value problem
 * Neumann boundary condition
 * Perfect thermal contact
 * Periodic boundary conditions
 * Robin boundary condition


 * Category:Differential systems
 * Darboux's theorem
 * Differential ideal
 * Frobenius theorem (differential topology)
 * Contact geometry
 * Contact (mathematics)
 * Open book decomposition
 * Reeb vector field
 * Relative contact homology


 * Category:Elliptic partial differential equations
 * Elliptic operator
 * Agranovich–Dynin formula
 * Atiyah–Singer index theorem
 * Biharmonic Bézier surface
 * Biharmonic equation
 * Boggio's formula
 * Elliptic complex
 * Grad–Shafranov equation
 * Helmholtz equation
 * Hopf maximum principle
 * Infinity Laplacian
 * Laplace operator
 * Laplace's equation
 * P-Laplacian
 * PDE surface
 * Rayleigh–Faber–Krahn inequality
 * Schauder estimates
 * Signature operator


 * Category:Harmonic functions
 * Category:Harmonic functions
 * Harmonic function
 * Harmonic coordinates
 * Harnack's inequality
 * Harnack's principle
 * Hilbert transform
 * Kellogg's theorem
 * Kelvin transform
 * Pluriharmonic function
 * Poisson kernel
 * Schwarz reflection principle
 * Weakly harmonic function


 * Category:Hodge theory
 * Hodge theory
 * Dolbeault cohomology
 * Hodge conjecture
 * Hodge cycle
 * Hodge structure
 * Hodge–Tate module
 * Intermediate Jacobian
 * Malcev Lie algebra
 * Mumford–Tate group
 * P-adic Hodge theory
 * Period mapping
 * Ring of p-adic periods


 * Category:Equations of fluid dynamics
 * Advection
 * Barotropic vorticity equation
 * Basset–Boussinesq–Oseen equation
 * Batchelor vortex
 * Benedict–Webb–Rubin equation
 * Bernoulli's principle
 * Borda–Carnot equation
 * Boussinesq approximation (water waves)
 * Buckley–Leverett equation
 * Darcy friction factor formulae
 * Darcy–Weisbach equation
 * Drag equation
 * Euler equations (fluid dynamics)
 * Fanning friction factor
 * Faxén's law
 * Groundwater energy balance
 * Hadamard–Rybczynski equation
 * Hazen–Williams equation
 * Herschel–Bulkley fluid
 * Kármán–Howarth equation
 * Kaufmann (Scully) vortex
 * Kelvin's circulation theorem
 * Kozeny–Carman equation
 * Lamb–Oseen vortex
 * Mild-slope equation
 * Milne-Thomson circle theorem
 * Morison equation
 * Non-dimensionalization and scaling of the Navier–Stokes equations
 * Orr–Sommerfeld equation
 * Oseen equations
 * Pipe network analysis
 * Pressure-correction method
 * Prony equation
 * Rankine vortex
 * Rankine–Hugoniot conditions
 * Rayleigh–Plesset equation
 * Relativistic Euler equations
 * Reynolds transport theorem
 * Starling equation
 * Stokes flow
 * Stokes' paradox
 * Stream thrust averaging
 * Taylor–Goldstein equation
 * Velocity potential
 * Vorticity equation
 * Washburn's equation


 * Category:Exactly solvable models
 * List of integrable models
 * Arnold's cat map
 * Bäcklund transform
 * Baker's map
 * Bethe ansatz
 * Bullough–Dodd model
 * Chiral Potts curve
 * Corner transfer matrix
 * Domino tiling
 * Dym equation
 * Eight-vertex model
 * Gingerbreadman map
 * Hard hexagon model
 * Ice-type model
 * Ising model
 * Kramers–Wannier duality
 * Lax pair
 * Minimal models
 * Potts model
 * Quantum affine algebra
 * Quantum inverse scattering method
 * Schwinger model
 * Sine–Gordon equation
 * Spherical model
 * Square-lattice Ising model
 * Thirring model
 * Thirring–Wess model
 * Toda field theory
 * Toda lattice
 * Topological quantum number
 * Wess–Zumino–Witten model
 * Yang–Baxter equation
 * Yangian
 * Z N model


 * Category:Integrable systems
 * AKNS system
 * DBAR problem
 * Gelfand–Zeitlin integrable system
 * Nahm equations
 * Volterra lattice
 * W-algebra
 * Ward's conjecture


 * Category:Solitons
 * Topological defect
 * Robin Bullough
 * Compacton
 * Derrick's theorem
 * Dissipative soliton
 * Domain wall (string theory)
 * Linear stability
 * Loop group
 * Non-topological soliton
 * Orbital stability
 * Oscillon
 * Peakon
 * Peregrine soliton
 * Nematicon
 * Soliton
 * Soliton (optics)
 * Vakhitov–Kolokolov stability criterion


 * Category:Hyperbolic partial differential equations
 * Hyperbolic partial differential equation
 * D'Alembert operator
 * Petrovsky lacuna
 * Relativistic heat conduction
 * Riemann problem
 * Roe solver
 * Telegrapher's equations
 * Wave equation


 * Category:Parabolic partial differential equations
 * Parabolic partial differential equation
 * Autowave
 * Autowave reverberator
 * The Chemical Basis of Morphogenesis
 * Convection–diffusion equation
 * Feynman–Kac formula
 * Fokker–Planck equation
 * Heat equation
 * Heat kernel
 * Kolmogorov backward equations (diffusion)
 * Mehler kernel
 * Reaction–diffusion system


 * Category:Potential theory
 * Axial multipole moments
 * Balayage
 * Capacity of a set
 * Cylindrical multipole moments
 * Double layer potential
 * An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism
 * Ewald summation
 * Extremal length
 * Focaloid
 * Harmonic measure
 * Laplace expansion (potential)
 * Lebesgue spine
 * Multipole expansion
 * Pluripolar set
 * Potential energy surface
 * Quadrature domains
 * Riesz transform
 * Spherical multipole moments
 * Subharmonic function
 * Symmetrizable compact operator
 * Wolf summation


 * Category:Subharmonic functions
 * Fine topology (potential theory)
 * Plurisubharmonic function
 * Polar set (potential theory)


 * Category:Sobolev spaces
 * Ehrling's lemma
 * Friedrichs' inequality
 * Gagliardo–Nirenberg interpolation inequality
 * Interpolation inequality
 * Interpolation space
 * Korn's inequality
 * Ladyzhenskaya's inequality
 * Lipschitz domain
 * Poincaré inequality
 * Rellich–Kondrachov theorem
 * Sobolev conjugate
 * Sobolev inequality
 * Sobolev space
 * Souček space
 * Szegő inequality
 * Trace operator
 * Trudinger's theorem


 * Category:Wave mechanics
 * Absolute phase
 * Acoustic phase conjugation
 * Acoustic wave
 * Airy beam
 * Amphidromic point
 * Amplitude
 * Bloch-Siegert shift
 * Clapotis
 * Coherence (physics)
 * Coherence bandwidth
 * Coherent potential approximation
 * Dephasing
 * Diffraction formalism
 * Dispersion (water waves)
 * Doppler effect
 * Double-slit experiment
 * Droplet-shaped wave
 * Electromagnetically induced grating
 * Electromagnetically induced transparency
 * Estimation of signal parameters via rotational invariance techniques
 * Faraday wave
 * Frequency
 * Fringe shift
 * Front velocity
 * Ground wave propagation
 * Group velocity
 * Hot chocolate effect
 * Huygens–Fresnel principle
 * Hydraulic jump
 * Hydraulic jumps in rectangular channels
 * Interference (wave propagation)
 * Inverse Doppler effect
 * Lamb waves
 * Longitudinal mode
 * Longitudinal wave
 * Melde's experiment
 * Modal testing
 * Mutual coherence (physics)
 * N-slit interferometric equation
 * Non-sinusoidal waveform
 * Nonlinear X-wave
 * Out Of Phase Stereo
 * Periodic travelling wave
 * Phase (waves)
 * Phase angle
 * Phase change (waves)
 * Phase conjugation
 * Phase inversion
 * Phase offset modulation
 * Phase response
 * Phase synchronization
 * Phase velocity
 * Photoacoustic Doppler effect
 * Plane wave
 * Quasiperiodicity
 * Rayleigh wave
 * Return loss
 * Rubens' tube
 * Rytov number
 * Scholte wave


 * Category:Diffraction
 * Diffraction