Existence and Uniqueness of the Viscous Burgers' Equation Based on Ellis Model
ABSTRACT In this paper, we investigate the existence and uniqueness of solutions to the viscous Burgers' equation describing the isothermal flow of Ellis fluids. We rigorously establish the existence and uniqueness of a weak solution corresponding to initial data where and is a parameter from the Ellis model. Furthermore, to support the theoretical findings and provide insight into the solution behavior, numerical simulations are carried out using COMSOL Multiphysics 6.0.
Authors
- Балтабек Кангужин (ORCID: https://orcid.org/0000-0001-5504-6362)
- Lyailya Zhapsarbayeva (ORCID: https://orcid.org/0000-0003-1932-2643)
- Bagyzhan Bagymkyzy
- Dongming Wei
Institutions
- L. N. Gumilyov Eurasian National University (KZ)
- Al-Farabi Kazakh National University (KZ)
- Nazarbayev University (KZ)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-12-23
- DOI
- https://doi.org/10.1002/mma.70431
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nazarbayev University