Slightly two- or three-dimensional self-similar solutions
نویسندگان
چکیده
منابع مشابه
Self-Similar Solutions of Two-Dimensional Conservation Laws
Self-similar reduction of an important class of two-dimensional conservation laws leads to boundary value problems for equations which change type. We have established a method for solving free boundary problems for quasilinear degenerate elliptic equations which arise when shocks interact with the subsonic (nonhyperbolic) part of the solution. This paper summarizes the principal features of th...
متن کاملSelf-similar solutions of the Riemann problem for two-dimensional systems of conservation laws
In this paper, a new approach is applied to study the self-similar solutions of 2×2 systems of nonlinear hyperbolic conservation laws. A notion of characteristic directions is introduced and then used to construct local and smooth solutions of the associated Riemann problem
متن کاملThree-dimensional self-similar fractal light in canonical resonators
Unstable canonical resonators can possess eigenmodes with a fractal intensity structure [Karman et al., Nature 402, 138 (1999)]. In one particular transverse plane, the intensity is not merely statistically fractal, but selfsimilar [Courtial and Padgett, PRL 85, 5320 (2000)]. This can be explained using a combination of diffraction and imaging with magnification greater than one: each round tri...
متن کاملPERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS
There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...
متن کاملVortex Methods for Slightly Viscous Three-Dimensional Flow
Vortex methods for slightly viscous three-dimensional flow are presented. Vortex methods have been used extensively for two-dimensional problems, though their most efficient extension to threedimensional problems is still under investigation. A method that evaluates the vorticity by exactly differentiating an approximate velocity field is applied. Numerical results are presented for a flow past...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2012
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.4737622