a self-similar solution is a form of solution which is similar to itself if the independent and dependent variables are appropriately scaled. Self-similar...

induced by a strong explosion. The blast wave was described by a self-similar solution independently by G. I. Taylor, John von Neumann and Leonid Sedov...

gradient. The problem on the whole is similar to the one dimensional heat conduction problem. Hence a self-similar variable can be introduced η = y ν t...

large number for the Schlichting jet. A self-similar solution exist for the problem posed. The self-similar variables are η = r x , u = ν x F ′ ( η )...

location r = R ( t ) {\displaystyle r=R(t)} thus varies with time. The self-similar solution to be described corresponds to the region r ∼ R ≪ R 0 {\displaystyle...

, ∞ ) {\displaystyle v(x,-\infty )=-v(x,\infty )} is used. The self-similar solution is obtained by introducing the transformation η = y x 2 / 3 , u...

Hillert's self-similar solution. Hence a search for a new possible self-similar solution was initiated that indeed led to a new class of self-similar distribution...

A Ricci soliton ( M , g 0 ) {\displaystyle (M,g_{0})} yields a self-similar solution to the Ricci flow equation ∂ t g t = − 2 Ric ⁡ ( g t ) . {\displaystyle...

Prandtl x {\displaystyle x} -momentum equation has a self-similar solution. The self-similar solution exists because the equations and the boundary conditions...

Narayan, Ramesh; Yi, Insu (1994). "Advection-dominated Accretion: A Self-Similar Solution". Astrophysical Journal Letters. 428: L13–L16. arXiv:astro-ph/9403052...