Laminar flow in channels with porous walls: advancing the existence, uniqueness and approximation of solutions via fixed point approaches – National University of Sciences and Technology (NUST)

Seminars and Workshops Laminar flow in channels with porous walls: advancing the existence, uniqueness and approximation of solutions via fixed point approaches

Topic of Research Seminar: Laminar flow in channels with porous walls: advancing the existence, uniqueness and approximation of solutions via fixed point approaches

Abstract: The purpose of this talk is to present a more complete theory regarding solutions to the problem of laminar flow in channels with porous walls. This talk establish new knowledge regarding the qualitative and quantitative properties of solutions to a fourth order boundary value problem under consideration. In contrast to the previous literature, our strategy involves establishing a new bound on solutions and draws on contractive mapping principles. This enables a deeper understanding of the problem by strategically addressing the questions of existence, uniqueness and approximation of solutions under one integrated framework, rather than applying somewhat disjointed approaches.

Subject Field of Topic: Fixed Point Theory

Name of Speaker: Mr. Anjum Mustafa Khan Abbasi

Professorial Rank of Speaker: PhD Student (Mathematics Dpt) SNS

University Email of Speaker: [email protected]

Affiliation of Speaker: School of Natural Science, National University of Sciences and Technology, SNS-NUST, H-12 Islamabad, Pakistan

Date and Venue: February 08 2023 at 1530 hrs, School of Natural Science (SNS) Old building CR # 303, NUST Islamabad Campus