Name
Abstract | ||
|---|---|---|
We derive a kinetic formulation for the parabolic scalar conservation law partial derivative(t)u + div(y)A(y,u) - Delta(y)u = 0. This allows us to de. ne a weaker notion of solutions in L-1, which is enough to recover the L-1 contraction principle. We also apply this kinetic formulation to a homogenization problem studied in a previous paper; namely, we prove that the kinetic solution of partial derivative(t)u(epsilon) + div(x)A(x/epsilon, u(epsilon)) - epsilon Delta(x)u(epsilon) = 0 behaves in L-loc(1) as v (x/epsilon,(u) over bar( t, x)), where v is the solution of a cell problem and (u) over bar the solution of the homogenized problem. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1137/060662770 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
scalar conservation law,kinetic formulation,homogenization | Mathematical physics,Homogenization (chemistry),Mathematical analysis,Scalar (physics),Contraction principle,Mathematics,Conservation law,Kinetic energy,Parabola | Journal |
Volume | Issue | ISSN |
39 | 3 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anne-Laure Dalibard | 1 | 0 | 1.01 |