Skip to main content

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 7))

  • 586 Accesses

Abstract

This article discusses a sort of parabolic-elliptic system with nonlinear boundary conditions, which comes from the chemical interfacial models. The results obtained here are the uniqueness and the existence of the global solutions.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. N.D. Alikakos, An application of the invariant principle to reactiondiffusion equations, J. Differential Equations 33 (1979), 201–225.

    Article  MathSciNet  MATH  Google Scholar 

  2. D.G. Aronson and L.A. Peletier, Global stability of symmetric and asymmetric concentration profiles in catalyst particles, Arch. Rational Mech. Anal. 54 (1974), 175–204.

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Friedman, Partial Differential Equations, Holt-Reinehart-Winston, 1969.

    Google Scholar 

  4. Y. Kawano, K. Kusano, K. Kondo and F. Nakashio, Extraction rate of acetic acid by long-chain alkylamine in horizontal rectangular channels, Kagaku Kôgaku Ronbunshu 9 (1983), 44–55.

    Article  Google Scholar 

  5. O.A. Ladyženskaya, V.A. Solonikov and N.N. Ural’ceva, Linear and Quasilinear Equations of Parabolic Type, Transi. Math. Monogr. 23, Amer. Math. Soc, Providence, R. I., 1968.

    Google Scholar 

  6. J. Moser, A Harnack inequality for parabolic differential equations, Comm. Pure Appl. Math. 17 (1964), 101–134.

    Article  MathSciNet  MATH  Google Scholar 

  7. K. Yoshizuka, K. Kondo and F. Nakashio, Effect of interfacial reaction on rates of extraction and stripping in membrane extraction using a hollow fiber, J. Chem. Eng. Japan 19 (1986), 312–318.

    Article  Google Scholar 

  8. Y. Yamada and S. Yotsutani, Note on chemical interfacial interfacial reaction models, Proc. Japan Acad. 62A (1986), 379–381.

    MathSciNet  Google Scholar 

  9. Y. Yamada and S. Yotsutani, A mathematical models on chemical interfacial reactions, Japan J. Appl. Math. 7 (1990), 369–398.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer Science+Business Media New York

About this chapter

Cite this chapter

Yotsutan, S. (1992). Chemical Interfacial Reaction Models with Radial Symmetry. In: Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds) Nonlinear Diffusion Equations and Their Equilibrium States, 3. Progress in Nonlinear Differential Equations and Their Applications, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0393-3_37

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0393-3_37

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6741-6

  • Online ISBN: 978-1-4612-0393-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics