Existence and Uniqueness Theorem for the Fingero-Imbibition Phenomeon through Porous Media

Authors

  • Pandya Parth M  Research Scholar, Pacific University, Udaipur, Rajasthan, India
  • Dr. Gajendra Purohit  Director, Pacific College of Basic & Applied Sciences, Pacific University, Udaipur, Rajasthan, India
  • Dr. P. H. Bhathawala  Professor, Department of Mathematics, V.N.S.G. University, Surat, Gujarat, India

Keywords:

Fingero-Imbibition Phenomenon, Partial Differential Equation

Abstract

When fingering and imbibition through porous media take place simultaneously, it is known as fingero-imbibition. The partial differential equation arises for the fingero-imbibition phenomenon through porous medium yields a non-linear partial differential equation of parabolic nature. Such equations are very difficult to solve analytically. The present paper describes the existence and uniqueness of similarity of this type of equations.

References

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International Journal of Scientific Research in Science and Technology

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Published

2020-02-25

Issue

Volume 7, Issue 1, January-February-2020

Section

Research Articles

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How to Cite

[1]
Pandya Parth M, Dr. Gajendra Purohit, Dr. P. H. Bhathawala, " Existence and Uniqueness Theorem for the Fingero-Imbibition Phenomeon through Porous Media, International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011, Volume 7, Issue 1, pp.289-299, January-February-2020.