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Applications of the Quasi Solution Method to Interfacial and Other Nonlinear Problems

Adali, Ali
http://rave.ohiolink.edu/etdc/view?acc_num=osu1502990387553748

Abstract Details

2017, Doctor of Philosophy, Ohio State University, Mathematics.
This thesis concerns analysis of two nonlinear problems: One concerns construction of accurate approximate Tritronqu\'ee solution to the Peinlev\'e-I (P1) equation with rigorous error bound in some domain that allows accurate confirmation of the pole location closest to the origin. The second part concerns determination of both the shape and velocity of steadily moving bubbles in a Hele-Shaw cell. We rigorously prove the existence of bubble solutions for a range of bubble size when neither surface tension nor bubble size are small.
Tanveer Saleh, Prof. (Advisor)
Costin Ovidiu, Prof. (Committee Member)
Keyfitz Barbara, Prof. (Committee Member)
Fayed Ayman, Prof. (Committee Member)
102 p.
Mathematics

Recommended Citations

Citations

  • Adali, A. (2017). Applications of the Quasi Solution Method to Interfacial and Other Nonlinear Problems [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1502990387553748

    APA Style (7th edition)

  • Adali, Ali. Applications of the Quasi Solution Method to Interfacial and Other Nonlinear Problems. 2017. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1502990387553748.

    MLA Style (8th edition)

  • Adali, Ali. "Applications of the Quasi Solution Method to Interfacial and Other Nonlinear Problems." Doctoral dissertation, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1502990387553748

    Chicago Manual of Style (17th edition)

osu1502990387553748
336
© 2017, some rights reserved.Creative Commons License Applications of the Quasi Solution Method to Interfacial and Other Nonlinear Problems by Ali Adali is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by The Ohio State University and OhioLINK.