Rarefaction waves in nonlocal convection-diffusion equations
Colloquium Mathematicae (2014)
- Volume: 137, Issue: 1, page 27-42
- ISSN: 0010-1354
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topAnna Pudełko. "Rarefaction waves in nonlocal convection-diffusion equations." Colloquium Mathematicae 137.1 (2014): 27-42. <http://eudml.org/doc/283466>.
@article{AnnaPudełko2014,
abstract = {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.},
author = {Anna Pudełko},
journal = {Colloquium Mathematicae},
keywords = {Riemann problem; long range interactions; step-like initial conditions; unique entropy solution; vinviscid Burgers equation},
language = {eng},
number = {1},
pages = {27-42},
title = {Rarefaction waves in nonlocal convection-diffusion equations},
url = {http://eudml.org/doc/283466},
volume = {137},
year = {2014},
}
TY - JOUR
AU - Anna Pudełko
TI - Rarefaction waves in nonlocal convection-diffusion equations
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 1
SP - 27
EP - 42
AB - 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.
LA - eng
KW - Riemann problem; long range interactions; step-like initial conditions; unique entropy solution; vinviscid Burgers equation
UR - http://eudml.org/doc/283466
ER -
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