## Communications in Mathematical Sciences

- Commun. Math. Sci.
- Volume 2, Supplemental Issue 1 (2004), 13-33.

### Geometric Compression Using Riemann Surface Structure

#### Abstract

The present paper is devoted to the kinetic modeling of coalescence in turbulent
gas-droplet flows. A new approach is proposed for the calculation of the collision probability, that
takes into account the correlations induced by the effect of the gas on the droplet motion. The key
ingredient is to replace the simple distribution function
*f*^{(1)}_{p}* (t, x, v, r)*, which is classically used for
the description of a spray at the kinetic level, by the joint distribution function,
*f*^{(1)}
_{pg}* (t, x, v, u, r)*,
which explicitely depends on the fluctuating gas velocity u at the droplet position.

#### Article information

**Source**

Commun. Math. Sci., Volume 2, Supplemental Issue 1 (2004), 13-33.

**Dates**

First available in Project Euclid: 2 July 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.cms/1088777491

#### Citation

Villedieu, P.; Simonin, O. Geometric Compression Using Riemann Surface Structure. Commun. Math. Sci. 2 (2004), no. 1, 13--33. https://projecteuclid.org/euclid.cms/1088777491