On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid

DOI10.1016/J.NONRWA.2011.05.033zbMath1231.76156OpenAlexW1995869774MaRDI QIDQ660743

Le Xuan Truong, Le Thi Phuong Ngoc, Cao Huu Hoa, Nguyen Thanh Long

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.033

zbMATH Keywords

exponential decaysystem of nonlinear wave equationsFaedo-Galerkin methodmixed nonhomogeneous conditionshelical flows of Maxwell fluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Theoretical approximation in context of PDEs (35A35) Finite element methods applied to problems in fluid mechanics (76M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Numerical methods for ordinary differential equations (65L99) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Higher-order semilinear hyperbolic equations (35L76)

Related Items (7)

A nonhomogeneous Dirichlet problem for a nonlinear pseudoparabolic equation arising in the flow of second-grade fluid ⋮ Vortices and vortex sources of multiple vortex interaction systems ⋮ Unnamed Item ⋮ On the nonlinear pseudoparabolic equation with the mixed inhomogeneous condition ⋮ Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid ⋮ Global existence, blow-up in finite time and vacuum isolating phenomena for a system of semilinear wave equations associated with the helical flows of Maxwell fluid ⋮ On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid: linear approximation and asymptotic expansion of solutions in many small parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Unsteady helical flows of a generalized Oldroyd-B fluid
• Starting solutions for oscillating motions of a generalized Burgers' fluid in cylindrical domains
• Helical flows of Maxwell fluid between coaxial cylinders with given shear stresses on the boundary
• Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative
• Functional analysis, Sobolev spaces and partial differential equations
• Some helical flows of a Burgers fluid with fractional derivative
• Decay of a potential vortex in a generalized Oldroyd-B fluid

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