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Non-homogeneous Boundary Value Problems for Boussinesq-type Equations

Li, Shenghao
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590

Abstract Details

2016, PhD, University of Cincinnati, Arts and Sciences: Mathematical Sciences.
The Boussinesq equation models unidirectional propagation of small amplitude and long wavelength waves in an open channel.The well-posedness problem, that is the existence, uniqueness and continuous dependence on solution map, has been studied on the whole line and periodic domains. The thesis is concerned with the non-homogeneous boundary value problems for the Boussinesq equation and the sixth order Boussinesq equation posed either on a half line or on a bounded domain.
Bingyu Zhang, Ph.D. (Committee Chair)
Robert Buckingham, Ph.D. (Committee Member)
Donald French, Ph.D. (Committee Member)
Michael Goldberg, Ph.D. (Committee Member)
127 p.
Mathematics
Boussinesq equation; sixth order Boussinesq equation; non-homogeneous boundary value problem; well-posedness

Recommended Citations

Citations

  • Li, S. (2016). Non-homogeneous Boundary Value Problems for Boussinesq-type Equations [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590

    APA Style (7th edition)

  • Li, Shenghao. Non-homogeneous Boundary Value Problems for Boussinesq-type Equations. 2016. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590.

    MLA Style (8th edition)

  • Li, Shenghao. "Non-homogeneous Boundary Value Problems for Boussinesq-type Equations." Doctoral dissertation, University of Cincinnati, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590

    Chicago Manual of Style (17th edition)

ucin1468512590
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This open access ETD is published by University of Cincinnati and OhioLINK.