Skip to main content
SpringerLink
Log in

Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

 We consider a two dimensional viscous shallow water model with friction term. Existence of global weak solutions is obtained and convergence to the strong solution of the viscous quasi-geostrophic equation with free surface term is proven in the well prepared case. The ill prepared data case is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Université Blaise Pascal et C.N.R.S., 63177 Aubière cedex, France. E-mail: Didier.Bresch@math.univ-bpclermont.fr, , , , , , FR

    Didier Bresch

  2. CEA/DIF, B.P. 12, 91680 Bruyères le Châtel, France. E-mail: Benoit.Desjardins@mines.org, , , , , , FR

    Benoît Desjardins

Authors
  1. Didier Bresch
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Benoît Desjardins
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 4 October 2002 / Accepted: 22 January 2003 Published online: 28 May 2003

Communicated by P. Constantin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bresch, D., Desjardins, B. Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model. Commun. Math. Phys. 238, 211–223 (2003). https://doi.org/10.1007/s00220-003-0859-8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00220-003-0859-8

Keywords

Search

Navigation