A two-scale convergence result for a nonlinear scalar conservation law in one space variable
Junca, Stéphane
HAL, hal-01312326 / Harvested from HAL
Text on HAL
We prove a general result of two‐scale convergence for BV‐functions. We then use this result to show the validity of nonlinear geometric optics for weak solutions to scalar conservation laws when the small perturbation of the initial datum is only BV and periodic with respect to the slow and the fast variable.
Publié le : 1998-07-04
Classification:  scalar conservation law,  BV,  two scale convergence,  MSC: 35L65; 35B25,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01312326,
     author = {Junca, St\'ephane},
     title = {A two-scale convergence result for a nonlinear scalar conservation law in one space variable},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01312326}
}

Junca, Stéphane. A two-scale convergence result for a nonlinear scalar conservation law in one space variable. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-01312326/