Well-posedness for a transport equation with nonlocal velocity (Q960539)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Well-posedness for a transport equation with nonlocal velocity |
scientific article; zbMATH DE number 5480702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Well-posedness for a transport equation with nonlocal velocity |
scientific article; zbMATH DE number 5480702 |
Statements
Well-posedness for a transport equation with nonlocal velocity (English)
0 references
22 December 2008
0 references
The author in this paper studies a one-dimensional transport with nonlocal velocity, involving fractional powers of the minus Laplacian operator, which was considered by several authors early. He proofs some properties with weaker hypothesis.
0 references
finite-time singularities
0 references
local and global well-posedness
0 references
nonlocal velocity
0 references
one space dimension
0 references
0 references
0 references
0 references
0 references
0 references
