Falkner – Skan equation is a third order non-linear ordinary differential equation which arises in the laminar boundary layer flow past wedge-like objects. (More details… 1,048 more words

## Tags » Mathematical Physics

#### numbers and quantities

Quantities are not a human invention.

Early humans saw that things existed in various quantities, and named the various quantities.

When a single thing of a class of things – whether it’s pebbles, people, protons, pears or any other class of physical object – humans name that quantity ‘one’. 529 more words

#### Cosmological black holes and white holes with time-dependent mass [CL]

http://arxiv.org/abs/1502.01003

We consider the causal structure of generalized uncharged McVittie spacetimes with increasing central mass $m (t)$ and positive Hubble factor $H (t)$. Under physically reasonable conditions, namely, a big bang singularity in the past, a positive cosmological constant and an upper limit to the central mass, we prove that the patch of the spacetime described by the cosmological time and areal radius coordinates is always geodesically incomplete, which implies the presence of event horizons in the spacetime. 67 more words

#### A study of the main resonances outside the geostationary ring [CL]

http://arxiv.org/abs/1501.06273

We investigate the dynamics of satellites and space debris in external resonances, namely in the region outside the geostationary ring. Precisely, we focus on the 1:2, 1:3, 2:3 resonances, which are located at about 66 931.4 km, 87 705.0 km, 55 250.7 km, respectively. 223 more words

#### Symmetries of Differential equations and Applications in Relativistic Physics [CL]

http://arxiv.org/abs/1501.05129

In this thesis, we study the one parameter point transformations which leave invariant the differential equations. In particular we study the Lie and the Noether point symmetries of second order differential equations. 149 more words