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View search results from all Wolfram sites (36514 matches)h_t+(|h|^nh_(xxx))_x=0, where h(x,t) is the height of a film at position x and time t and n is a parameter characteristic of the surface forces.
The partial differential equation u_t+uu_x=nuu_(xx) (Benton and Platzman 1972; Zwillinger 1995, p. 417; Zwillinger 1997, p. 130). The so-called nonplanar Burgers equation is ...
The partial differential equation u_t=del ·[M(u)del ((partialf)/(partialu)-Kdel ^2u)].
The partial differential equation u_(xy)+(alphau_x-betau_y)/(x-y)=0.
The partial differential equation u_t=(1+ia)u_(xx)+(1+ic)u-(1+id)|u|^2u.
The partial differential equation u_t+del ^4u+del ^2u+1/2|del u|^2=0, where del ^2 is the Laplacian, del ^4 is the biharmonic operator, and del is the gradient.
The partial differential equation u_t+45u^2u_x+15u_xu_(xx)+15uu_(xxx)+u_(xxxxx)=0.
The partial differential equation del ^2A=-del xE, where del ^2 is the vector Laplacian.
The system of partial differential equations (partial_t+partial_z^3+partial_(z^_)^3)v+partial_z(uv)+partial_(z^_)(vw) (1) partial_(z^_)u=3partial_zv (2) ...
The motivating force of topology, consisting of the study of smooth (differentiable) manifolds. Differential topology deals with nonmetrical notions of manifolds, while ...
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