Skip to main content
SpringerLink
Log in

Existence of Solutions of a Two-Point Boundary Value Problem

  • Original Papers
  • Published:
Acta Mathematicae Applicatae Sinica Aims and scope Submit manuscript

Abstract

A two-point boundary value problem with a non-negative parameter Q arising in the study of surface tension induced flow of a liquid metal or semiconductor is studied. We prove that the problem has at least one solution for Q ≥ 0. This improves a recent result that the problem has at least one solution for 0 ≤ Q ≤ 13.21.

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

References

  1. Gill, W.N., Kazarinoff, N.D., Hsu, C., Noack, M., Verhoeven, J.D. Thermocapillary driven convection in supported and floating zone crystallization. Adv. in Space Res., 15(4):15–22 (1984)

    Article  Google Scholar 

  2. Lu, C.Q., Kazarinoff, N.D., Mcleod, J.B., Troy, W.C. Existence of solutions of the similarity equations for floating rectangular cavities and disks. SIAM J. Math. Anal., 19(5):1119–1126 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  3. Lu C. Q., Kazarinoff N. D. On the existence of solutions of a two -point boundary value problem arising from flows in a cylindrical floating zone. SIAM J. Math. Anal., 20(2):494–503 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  4. Shi, Y.D. A two-point boundary value problem arising from a liquid metal flow. Acta Mathematica Sinica, 41(5):1069–1074 (1998)

    MATH  Google Scholar 

  5. Shi, Y.D. On the existence of solutions for a two-point boundary value problem in semiconductor physics. Acta Mathematicae Applicatae Sinica, 25(1):36–42 (2002)

    MATH  MathSciNet  Google Scholar 

  6. Shi, Y.D. On the existence of solutions for a two-point boundary value problem in semiconductor physics. Mathematics in practice and theory 32(4):605–612, (2002)

    Google Scholar 

  7. Zhong, C.K., Fan, X.L., Chen, W.Y. Introduction to non-linear functional analysis. Lanzhou University Press, Lanzhou, 1998.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China

    Shu-hong Wu

Authors
  1. Shu-hong Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shu-hong Wu.

Additional information

Supported by the Foundation of postdoctor of Huazhong University of Science and Technology

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, Sh. Existence of Solutions of a Two-Point Boundary Value Problem. Acta Mathematicae Applicatae Sinica, English Series 21, 77–80 (2005). https://doi.org/10.1007/s10255-005-0217-z

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10255-005-0217-z

Keywords

2000 MR Subject Classification

Search

Navigation