ACCURACY AND EXISTENCE OF SOLUTIONS TO PRIMITIVE VARIABLE MODELS OF VISCOUS INCOMPRESSIBLE FLUIDS

abstract

• Two variational models of the primitive equations governing two-dimensional, viscous incompressible Stokes flows are studied. The first model contains the velocities and the pressure as dependent unknowns, while the second model contains only the velocities and is based on the Penalty Method. Existence and uniqueness of solutions to the associated variational problems are proved using the Generalized Lax-Milgram theorem of Babuska. Existence and uniqueness of approximate solution are also proved and error estimates are derived. 1978.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

author list (cited authors)

• REDDY, J. N.

citation count

• 25

complete list of authors

• REDDY, JN

publication date

• January 1978

publisher

• Elsevier  Publisher

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1016/0020-7225(78)90051-4

start page

• 921

end page

• 929

volume

• 16

issue

• 12

URL

• http://dx.doi.org/10.1016/0020-7225(78)90051-4