Existence, blow-up, and exponential decay estimates for a system of semilinear wave equations associated with the helicalflows of Maxwell fluid

DOI10.1002/MMA.3643zbMath1338.35009OpenAlexW2163526572MaRDI QIDQ2814091

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

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3643

zbMATH Keywords

exponential decayFaedo-Galerkin methodblow-up in finite timesystem of semilinear wave equationsmixed nonhomogeneous conditionsthe helical 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms ⋮ 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

Cites Work

• Unnamed Item
• Unsteady helical flows of a generalized Oldroyd-B fluid
• Starting solutions for oscillating motions of a generalized Burgers' fluid in cylindrical domains
• On a system of nonlinear wave equations associated with the helical flows of Maxwell fluid
• 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
• 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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