Partially Self-Similar Spacetimes and Fluid Motions
نویسندگان
چکیده
منابع مشابه
Self-similar spherical collapse with non-radial motions
We derive the asymptotic mass profile near the collapse center of an initial spherical density perturbation, δ ∝ M, of collision-less particles with non-radial motions. We show that angular momenta introduced at the initial time do not affect the mass profile. Alternatively, we consider a scheme in which a particle moves on a radial orbit until it reaches its turnaround radius, r∗. At turnaroun...
متن کاملSelf-similar fractals and arithmetic dynamics
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
متن کاملSelf-similar dynamics of liquid injected into partially saturated aquifers
The injection of liquid from a central well into a partially saturated aquifer of finite thickness is described using similarity solutions. The solutions illustrate that injection leads to a growing zone around the source in which the fluid fills the whole depth of the aquifer. Beyond this zone, the current adjusts to the depth in the far field as the fluid slumps under gravity. The radial exte...
متن کاملShock Profiles and Self-similar Fluid Dynamic Limits
Being among the simplest models in the kinetic theory of gases, the Broadwell model has served as a paradigm to understand the phenomenon of relaxation and the transition from a microscopic to a macroscopic description of gases. It consists of the system of semilinear hyperbolic equations @f 1 @t + @f 1 @x = 1 " f 2 3 ? f 1 f 2 @f 2 @t ? @f 2 @x = 1 " f 2 3 ? f 1 f 2 @f 3 @t = ? 1 2" f 2 3 ? f ...
متن کاملSurface Motions and Fluid Dynamics *
A certain class of surface motions, including those of a relativistic membrane minimizing the 3-dimensional volume swept out in Minkowski-space, is shown to be equivalent to 3-dimensional steady-state irrotational inviscid isentropic gas-dynamics. The SU(∞) Nahm equations turn out to correspond to motions where the time t at which the surface moves through the point ⇀ r is a harmonic function o...
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: Progress of Theoretical Physics Supplement
سال: 1981
ISSN: 0375-9687
DOI: 10.1143/ptps.70.286