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A particle-in-Burgers model: theory and numerics - Laboratoire de ...

A particle-in-Burgers model: theory and numerics - Laboratoire de ...

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Mo<strong>de</strong>l <strong>and</strong> motivation Auxiliary steps Results h = 0: coupl<strong>in</strong>g h = 0: <strong>de</strong>f<strong>in</strong>ition, uniqueness h = 0: <strong>numerics</strong>, existence The coupled problem<br />

Numerics: draft<strong>in</strong>g-kiss<strong>in</strong>g-tumbl<strong>in</strong>g<br />

t<br />

5<br />

4.5<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

Particle 1<br />

Particle 2<br />

0<br />

0 0.2 0.4 0.6 0.8 1<br />

x<br />

Figure: Trajectories of two <strong>particle</strong>s

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