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
DOI10.1007/S10013-015-0128-0zbMath1328.35014OpenAlexW2044543622MaRDI QIDQ2351180
Nguyen Thanh Long, Le Thi Phuong Ngoc, Cao Huu Hoa
Publication date: 23 June 2015
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-015-0128-0
system of nonlinear wave equationsFaedo-Galerkin methodasymptotic expansion in many small parameterslinear recurrent sequencehelical flows of Maxwell fluid
Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with fluid mechanics (35Q35) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20)
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
- Linear approximation and asymptotic expansion of solutions in many small parameters for a nonlinear Kirchhoff wave equation with mixed nonhomogeneous conditions
- Existence and asymptotic expansion for a viscoelastic problem with a mixed nonhomogeneous condition
- On a nonlinear wave equation involving the term \(-\frac{\partial}{\partial x}(u(x,t,u,\|u_x\|^2)u_x)\): linear approximation and asymptotic expansion of solution in many small parameters
- Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative
- Functional analysis, Sobolev spaces and partial differential equations
- On the nonlinear wave equation \(u_{tt}-B(t,\| u \|^2, \| u_x\|^2)u_{xx}=f(x,t,u,u_x,u_t,\| u\|^2,\| u_x\|^2)\) associated with the mixed homogeneous conditions
- Some helical flows of a Burgers fluid with fractional derivative
- Decay of a potential vortex in a generalized Oldroyd-B fluid
This page was built for publication: 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
