partial differential equation
101Euler-Tricomi equation — In mathematics, the Euler Tricomi equation is a linear partial differential equation useful in the study of transonic flow. It is named for Leonhard Euler and Francesco Giacomo Tricomi.: displaystyleu {xx}=xu {yy}.It is hyperbolic in the half… …
102Young–Laplace equation — In physics, the Young ndash;Laplace equation is a nonlinear partial differential equation that describes the capillary pressure difference sustained across the interface between two static fluids, such as water and air, due to the phenomenon of… …
103Chaplygin's equation — In mathematics, Chaplygin s equation, named after Sergei Alekseevich Chaplygin, is a partial differential equation useful in the study of transonic flow.[1] It is Here, c = c(v) is the speed of sound, determined by the equation of state of the… …
104Gross–Pitaevskii equation — The Gross–Pitaevskii equation is a nonlinear model equation for the order parameter or wavefunction of a Bose–Einstein condensate. It is similar in form to the Ginzburg–Landau equation and is sometimes referred to as a nonlinear Schrödinger… …
105Dym equation — In mathematics, and in particular in the theory of solitons, the Dym equation (HD) is the third order partial differential equation It is often written in the equivalent form The Dym equation first appeared in Kruskal [1] and is attributed to an… …
106Benjamin–Bona–Mahony equation — The Benjamin–Bona–Mahony equation (or BBM equation) is the partial differential equation:u t+u x+uu x u {xxt}=0.,This equation was introduced in harvs| author1 link=Brooke Benjamin|first= T. B. |last=Benjamin|first2= J. L.|last2= Bona |first3=J.… …
107Swift-Hohenberg equation — The Swift Hohenberg equation is a partial differential equation noted for its pattern forming behaviour. It takes the form:frac{partial u}{partial t} = r u (1+ abla^2)^2u + N(u)where u = u ( x , t ) or u = u ( x , y , t ) is a scalar function… …
108Euler–Poisson–Darboux equation — The Euler–Poisson–Darbouxcite book author = Zwillinger, D. year = 1997 title = Handbook of Differential Equations 3rd edition publisher = Academic Press, Boston, MA isbn = ] equation is the partial differential equation: u {x,y}+frac{N(u x+u… …
109Photon diffusion equation — is a second order partial differential equation describing the time behavior of photon fluence rate distribution in a low absorption high scattering medium.Its mathematical form is as follows. abla(D(r)cdot abla)Phi(vec{r},t) vmu… …
110Kadomtsev–Petviashvili equation — In mathematics, the Kadomtsev–Petviashvili equation (or KP equation) is a partial differential equation. It is also sometimes called the Kadomtsev Petviashvili Boussinesq equation. The KP equation is usually written as::displaystyle partial… …
