Global existence of solutions for the second grade fluid equations in a thin three-dimensional domain

DOI10.3233/ASY-161397zbMath1358.35105MaRDI QIDQ2967561

Bouthaina Abdelhedi

Publication date: 28 February 2017

Published in: Asymptotic Analysis (Search for Journal in Brave)

zbMATH Keywords

thin domainsperturbationglobal existencesecond grade fluid equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Global existence of the 3D rotating second grade fluid system

Cites Work

• Unnamed Item
• Unnamed Item
• Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations
• Local unstable manifolds of periodic orbits in thin domains
• Existence of periodic solutions of a system of damped wave equation in thin domains
• Convergence in gradient-like systems with applications to PDE
• Weak and classical solutions of a family of second grade fluids
• Reaction-diffusion equation on thin domains
• Nonlinear Schrödinger evolution equations
• A Damped Hyperbolic Equation on Thin Domains
• The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
• An integrable shallow water equation with peaked solitons
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Navier-Stokes equations in thin 3D domains with Navier boundary conditions
• Some results on the Navier-Stokes equations in thin 3D domains

This page was built for publication: Global existence of solutions for the second grade fluid equations in a thin three-dimensional domain