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### Convex hulls, Sticky particle dynamics and Pressure-less gas system

Annales mathématiques Blaise Pascal

We introduce a new condition which extends the definition of sticky particle dynamics to the case of discontinuous initial velocities ${u}_{0}$ with negative jumps. We show the existence of a stochastic process and a forward flow $\phi$ satisfying ${X}_{s+t}=\phi \left({X}_{s},t,{P}_{s},{u}_{s}\right)$ and $\mathrm{d}{X}_{t}=\mathrm{E}\left[{u}_{0}\left({X}_{0}\right)/{X}_{t}\right]\mathrm{d}t$, where ${P}_{s}=P{X}_{s}^{-1}$ is the law of ${X}_{s}$ and ${u}_{s}\left(x\right)=\mathrm{E}\left[{u}_{0}\left({X}_{0}\right)/{X}_{s}=x\right]$ is the velocity of particle $x$ at time $s\ge 0$. Results on the flow characterization and Lipschitz continuity are also given.Moreover, the map $\left(x,t\right)↦M\left(x,t\right):=P\left({X}_{t}\le x\right)$ is the entropy solution of a scalar conservation law ${\partial }_{t}M+{\partial }_{x}\left(A\left(M\right)\right)=0$ where the flux $A$ represents the particles...

### Flow of an unsteady conducting dusty fluid through circular cylinder.

Acta Universitatis Apulensis. Mathematics - Informatics

### Induced dusty flow due to normal oscillation of wavy wall.

International Journal of Mathematics and Mathematical Sciences

### Influence of temperature-dependent viscosity on the MHD Couette flow of dusty fluid with heat transfer.

Differential Equations &amp; Nonlinear Mechanics

### Model of pulverized coal combustion in a furnace

Kybernetika

We describe behavior of the air-coal mixture using the Navier–Stokes equations for gas and particle phases, accompanied by a turbulence model. The undergoing chemical reactions are described by the Arrhenian kinetics (reaction rate proportional to $\mathrm{exp}\left(-\frac{E}{RT}\right),$ where $T$ is temperature). We also consider the heat transfer via conduction and radiation. Moreover we use improved turbulence-chemistry interactions for reaction terms. The system of PDEs is discretized using the finite volume method (FVM) and an advection...

### Numerical solution of Stokes problem for free convection effects in dissipative dusty medium.

International Journal of Mathematics and Mathematical Sciences

### Unsteady flow of a conducting dusty fluid between two parallel plates.

APPS. Applied Sciences

### Unsteady flow of a conducting dusty fluid near an accelerated plate.

Acta Universitatis Apulensis. Mathematics - Informatics

### Unsteady flow of a dusty fluid through an inclined open rectangular channel.

Acta Universitatis Apulensis. Mathematics - Informatics

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