Name
Title | ||
|---|---|---|
On Maximum Modulus Estimates of the Navier-Stokes Equations with Nonzero Boundary Data. |
Abstract | ||
|---|---|---|
We consider discontinuous influx for the Navier-Stokes flow and construct a solution that is unbounded in a neighborhood of a discontinuous point of given bounded boundary data for any dimension larger than or equal to two. This is an extension of the result in [T. Chang and H. Choe, J. Differential Equations, 254 (2013), pp. 2682-2704] that a blow-up solution exists with a bounded and discontinuous boundary data for the Stokes flow. If the normal component of bounded boundary data is Dini-continuous in space or log-Dini-continuous in time, then the constructed solution becomes bounded and a maximum modulus estimate is valid. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1137/17M1152565 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
Navier-Stokes equations,maximum modulus principle,very weak solutions | Differential equation,Maximum modulus principle,Mathematical analysis,Flow (psychology),Modulus,Stokes flow,Mathematics,Navier–Stokes equations,Bounded function | Journal |
Volume | Issue | ISSN |
50 | 3 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tongkeun Chang | 1 | 0 | 1.01 |
| Hi Jun Choe | 2 | 5 | 3.52 |
| Kyungkeun Kang | 3 | 8 | 4.93 |