onr:"swepub:oai:lup.lub.lu.se:4f20efb9-0067-4fbc-b15a-b50a4697d52c"
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| Fältnamn | Indikatorer | Metadata |
|---|---|---|
| 000 | 02438naa a2200349 4500 | |
| 001 | oai:lup.lub.lu.se:4f20efb9-0067-4fbc-b15a-b50a4697d52c | |
| 003 | SwePub | |
| 008 | 160401s2010 | |||||||||||000 ||eng| | |
| 024 | 7 | a https://lup.lub.lu.se/record/14708402 URI |
| 024 | 7 | a https://doi.org/10.1007/s00021-009-0296-32 DOI |
| 040 | a (SwePub)lu | |
| 041 | a engb eng | |
| 042 | 9 SwePub | |
| 072 | 7 | a art2 swepub-publicationtype |
| 072 | 7 | a ref2 swepub-contenttype |
| 100 | 1 | a Fontes, Magnusu Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH4 aut0 (Swepub:lu)math-mfo |
| 245 | 1 0 | a Optimal results for the nonhomogeneous initial-boundary value problem for the two-dimensional Navier-Stokes equations |
| 264 | c 2009-04-17 | |
| 264 | 1 | b Springer Science and Business Media LLC,c 2010 |
| 520 | a In this work we study the fully nonhomogeneous initial boundary value problem for the two-dimensional time-dependent Navier–Stokes equations in a general open space domain in R2 with low regularity assumptions on the initial and the boundary value data. We show that the perturbed Navier–Stokes operator is a diffeomorphism from a suitable function space onto its own dual and as a corollary we get that the Navier–Stokes equations are uniquely solvable in these spaces and that the solution depends smoothly on all involved data. Our source data space and solution space are in complete natural duality and in this sense, without any smallness assumptions on the data, we solve the equations for data with optimally low regularity in both space and time. | |
| 650 | 7 | a NATURVETENSKAPx Matematik0 (SwePub)1012 hsv//swe |
| 650 | 7 | a NATURAL SCIENCESx Mathematics0 (SwePub)1012 hsv//eng |
| 653 | a Navier–Stokes | |
| 653 | a perturbed | |
| 653 | a nonhomogeneous boundary condition | |
| 653 | a anisotropic Beppo–Levi space | |
| 653 | a time-dependent | |
| 710 | 2 | a Matematik LTHb Matematikcentrum4 org |
| 773 | 0 | t Journal of Mathematical Fluid Mechanicsd : Springer Science and Business Media LLCg 12, s. 412-434q 12<412-434x 1422-6928x 1422-6952 |
| 856 | 4 | u http://dx.doi.org/10.1007/s00021-009-0296-3y FULLTEXT |
| 856 | 4 8 | u https://lup.lub.lu.se/record/1470840 |
| 856 | 4 8 | u https://doi.org/10.1007/s00021-009-0296-3 |
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