Open AccessNavier-Stokes Equations with Potentials
Author(s) -
Adriana-Ioana Lefter
Publication year - 2007
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2007/79406
Subject(s) - mathematics , bounded function , monotone polygon , domain (mathematical analysis) , nonlinear system , navier–stokes equations , mathematical analysis , operator (biology) , compressibility , geometry , mechanics , physics , transcription factor , biochemistry , chemistry , repressor , quantum mechanics , gene
We study Navier-Stokes equations perturbedwith a maximal monotone operator, in a bounded domain, in 2D and3D. Using the theory of nonlinear semigroups, we prove existence resultsfor strong and weak solutions. Examples are also provided
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