Skip to main content
SpringerLink
Log in

The initial value problem for the nonlinear equations for zero Mach number combustion

  • Conference paper
  • First Online:
Differential Equations and Mathematical Physics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1285))

  • 802 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Embid, P. "Well-posedness of the Nonlinear Equations for Zero Mach Number Combustion," Ph.D. Thesis, Univ. Calif. Berkely, 1984.

    Google Scholar 

  2. Ghoniem, A.F., A.J. Chorin, and A.K. Oppenheim, "Numerical modelling of turbulent flow in a combustion tunnel," Philos. Trans. Roy. Soc. London Series A (1981), 1103–1119.

    Google Scholar 

  3. Kato, T., and C.Y. Lai, "Nonlinear evolution equations and the Euler flow," J. Functional Anal. 56 (1984), 15–28.

    Article  MathSciNet  MATH  Google Scholar 

  4. Lai, C.Y., "Studies on the Euler and the Navier-Stokes equations," Ph.D. thesis, Univ. Calif., Berkely, 1975.

    Google Scholar 

  5. Majda, A., "Equations for low Mach number combustion," Center for Pure and Appl. Math., Univ. Calif., Berkely, Rep. #112, Nov. 1982.

    Google Scholar 

  6. Majda, A., Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Appl. Math. Sci. Series, Springer-Verlag, New York, 1984.

    Book  MATH  Google Scholar 

  7. Majda, A., and J. Sethian, "The derivation and numerical solution of the equations for zero Mach number combustion," Center for Pure and Appl. Math., Univ. Calif., Berkeley, Rep. #197, Jan. 1984 (to appear in Comb. Sci. and Tech.).

    Google Scholar 

  8. Niremberg, L., "Remarks on strongly elliptic partial differential equations," Comm. Pure Appl. Math. 8 (1955), 649–675.

    MathSciNet  Google Scholar 

  9. Schochet, S., "Singular limits in bounded domains for quasi-linear symmetric hyperbolic systems having a vorticity equations" (preprint).

    Google Scholar 

  10. Sivashinsky, G.I., "Hydrodynamic Theory of Flame Propagation in an Enclosed Volume," Acta Astronautics 6 (1979), 631–634.

    Article  MATH  Google Scholar 

  11. Temam, R., "On the Euler equations of incompressible perfect fluids," J. Functional Anal. 20 (1975), 32–43.

    Article  MathSciNet  MATH  Google Scholar 

  12. Temam, R., Navier-Stokes Equations, North Holland-Elsevier, Amsterdam, New York, 1976.

    MATH  Google Scholar 

  13. Williams, F.A., Combustion Theory, Addison-Wesley, Reading, MA, 1964.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of New Mexico, 87131, Albuquerque, NM

    Pedro Embid

Authors
  1. Pedro Embid
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ian W. Knowles Yoshimi Saitō

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Embid, P. (1987). The initial value problem for the nonlinear equations for zero Mach number combustion. In: Knowles, I.W., Saitō, Y. (eds) Differential Equations and Mathematical Physics. Lecture Notes in Mathematics, vol 1285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080586

Download citation

  • DOI: https://doi.org/10.1007/BFb0080586

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18479-9

  • Online ISBN: 978-3-540-47983-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation