Global existence and uniqueness of solutions for the equations of third grade fluids

DOI10.1016/S0020-7462(02)00121-XzbMath1169.76319OpenAlexW2006123134MaRDI QIDQ873252

N. E. Zubov

Publication date: 29 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(02)00121-x

zbMATH Keywords

Non-Newtonian fluidExistence and uniqueness of solutions

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

Well-posedness of stochastic third grade fluid equation ⋮ Numerical simulations of a third-grade fluid flow on a tube through a contraction ⋮ A large deviation principle for fluids of third grade ⋮ Optimal control of two dimensional third grade fluids ⋮ The unique existence of weak solution and the optimal control for time-fractional third grade fluid system ⋮ Approximation of a class of incompressible third grade fluids equations ⋮ Global existence in the energy space of the solutions of a non-Newtonian fluid ⋮ Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations ⋮ A non-Newtonian fluid with Navier boundary conditions ⋮ Unsteady free convective heat transfer in third-grade fluid flow from an isothermal vertical plate: A thermodynamic analysis ⋮ The regularity of two-dimensional solutions of the third-grade fluid equations

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