Skip to main content
Log in

Well-posedness for a mixed problem for the equations of ideal Magneto-Hydrodynamics

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. H. Beirão Da Veiga, Perturbation theory and well-posedness in Hadamard's sense of hyperbolic initial-boundary value problems. J. Nonlinear Anal. T.M.A.22, 1285–1308 (1994).

    Google Scholar 

  2. H. Beirão Da Veiga, Data dependence in the mathematical theory of compressible inviscid fluids. Arch. Rational Mech. Anal.119, 109–127 (1992).

    Google Scholar 

  3. H. Beirão Da Veiga, Perturbation theorems for linear hyperbolic mixed problems and applications to the compressible Euler equations. Comm. Pure Appl. Math.46, 221–259 (1993).

    Google Scholar 

  4. J. P.Freidberg, Ideal magnetohydrodynamics. New York-London, 1987.

  5. M.Ohno, Y.Shizuta and T.Yanagisawa, The trace theorem on anisotropic Sobolev spaces. Tôhoku Math. J., to appear.

  6. P.Secchi, Linear symmetric hyperbolic systems with characteristic boundary. Math. Methods Appl. Sci., to appear.

  7. P.Secchi, The initial boundary value problem for linear symmetric hyperbolic systems with characteristic boundary of constant multiplicity. Preprint 1993.

  8. P.Secchi, Well-posedness of characteristic symmetric hyperbolic systems. Preprint 1994.

  9. P.Secchi, On an initial boundary value problem for the equations of ideal magneto-hydrodynamics. Math. Methods Appl. Sci., to appear.

  10. P. Secchi, On the equations of ideal incompressible magneto-hydrodynamics. Rend. Sem. Mat. Univ. Padova90, 103–119 (1993).

    Google Scholar 

  11. T.Shirota, private communication.

  12. M. Tsuji, Regularity of solutions of hyperbolic mixed problems with characteristic boundary. Proc. Japan Acad. Ser. A Math. Sci.48, 719–724 (1972).

    Google Scholar 

  13. T. Yanagisawa, The initial boundary value problem for the equations of ideal magneto-hydrodynamics. Hokkaido Math. J.16, 295–314 (1987).

    Google Scholar 

  14. T. Yanagisawa andA. Matsumura, The fixed boundary value problems for the equations of ideal magneto-hydrodynamics with a perfectly conducting wall condition. Comm. Math. Phys.136, 119–140 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Secchi, P. Well-posedness for a mixed problem for the equations of ideal Magneto-Hydrodynamics. Arch. Math 64, 237–245 (1995). https://doi.org/10.1007/BF01188574

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01188574

Keywords

Navigation