Asymptotic profiles of solutions to convection-diffusion equations
Benachour, Said ; Karch, Grzegorz ; Laurençot, Philippe
HAL, hal-00140801 / Harvested from HAL
The large time behavior of zero mass solutions to the Cauchy problem for a convection-diffusion equation. We provide conditions on the size and shape of the initial datum such that the large time asymptotics of solutions is given either by the derivative of the Guass-Weierstrass kernel or by a self-similar solution or by a hyperbolic N-wave
Publié le : 2004-01-07
Classification:  Convection-diffusion equations Viscous Hamilton-Jacobi equations Asymptotic profiles,  MCS: 35K15 ; 35B40,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00140801,
     author = {Benachour, Said and Karch, Grzegorz and Lauren\c cot, Philippe},
     title = {Asymptotic profiles of solutions to convection-diffusion equations},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00140801}
}
Benachour, Said; Karch, Grzegorz; Laurençot, Philippe. Asymptotic profiles of solutions to convection-diffusion equations. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00140801/