Geodesic
Rarefaction waves in nonlocal convection-diffusion equations
Anna Pudełko1
1 AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland
Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 27-42

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider a nonlocal convection-diffusion equation $u_t=J*u-u-uu_x,$ where $J$ is a probability density. We supplement this equation with step-like initial conditions and prove the convergence of the corresponding solutions towards a rarefaction wave, i.e. a unique entropy solution of the Riemann problem for the inviscid Burgers equation.
DOI : 10.4064/cm137-1-3
Mots-clés : consider nonlocal convection diffusion equation j*u u uu where probability density supplement equation step like initial conditions prove convergence corresponding solutions towards rarefaction wave unique entropy solution riemann problem inviscid burgers equation

Anna Pudełko 1

1 AGH University of Science and Technology Al. Mickiewicza 30 30-059 Kraków, Poland 
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Anna Pudełko. Rarefaction waves in nonlocal
 convection-diffusion equations. Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 27-42. doi: 10.4064/cm137-1-3

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