Skip to main content
SpringerLink
Log in

On the Inviscid Limit for a Fluid with a Concentrated Vorticity

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

Abstract:

We study the time evolution of a viscous incompressible fluid in ℝ2 when the initial vorticity is sharply concentrated in N regions of diameter ε. We prove that in the zero viscosity limit it converges as ε vanishes to the inviscid fluid and in particular to the point vortex system.

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. Dipartimento di Matematica, Università“La Sapienza”, Piazzale A. Moro 2, 00185 Roma, Italy.¶E-mail: marchioro@axcasp.caspur.it, , , , , , IT

    Carlo Marchioro

Authors
  1. Carlo Marchioro
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 29 September 1997 / Accepted: 19 December 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marchioro, C. On the Inviscid Limit for a Fluid with a Concentrated Vorticity . Comm Math Phys 196, 53–65 (1998). https://doi.org/10.1007/s002200050413

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050413

Keywords

Search

Navigation