Electronic Research Archive
Special issue on PDEs arising from nonlinear waves and fluid dynamics
Robin Ming Chen, Department of Mathematics, University of Pittsburgh email@example.com
Runzhang Xu, College of Mathematical Sciences, Harbin Engineering University firstname.lastname@example.org
In this paper, the Cauchy problem of the
This paper is concerned with the initial boundary value problem for a shear thinning fluid-particle interaction non-Newtonian model with vacuum. The viscosity term of the fluid and the non-Newtonian gravitational force are fully nonlinear. Under Dirichlet boundary for velocity and the no-flux condition for density of particles, the existence and uniqueness of strong solutions is investigated in one dimensional bounded intervals.
This paper deals with the global existence and blow-up of solutions to a inhomogeneous pseudo-parabolic equation with initial value
We study the initial boundary value problem of linear homogeneous wave equation with dynamic boundary condition. We aim to prove the finite time blow-up of the solution at critical energy level or high energy level with the nonlinear damping term on boundary in control systems.
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