期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (3)
A pullback random attractor for a cocycle is a family of compact invariant attracting random sets A(1, theta(s).), where (t, s) is a point of the Eucl......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (2)
The asymptotic behavior of solutions is a significant subject in the theory of wave equations. In this paper we are concerned with the asymptotic beha......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (3)
In this paper, we study three-dimensional equatorial flows with constant vorticity beneath a wave train and above a flat bed in the beta-plane approxi......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (2)
In this paper we present some local dynamic bifurcation results in terms of invariant sets of nonlinear evolution equations. We show that if the trivi......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (2)
In this paper, we consider the following 2-D Schrodinger-Newton equations -Delta u + a(x)u + gamma/2 pi (log(vertical bar.vertical bar) * vertical bar......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (3)
In this paper, our goal is to establish a generalized version of Lions-type theorem for the fractional Laplacian. As an application of this theorem, w......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (1)
Let (u, pi) with u = (u(1), u(2), u(3)) be a suitable weak solution of the three dimensional Navier-Stokes equations in R-3 x (0,T). Denote by (B) ove......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 18 (1)
We consider the Cauchy problem of nonhomogeneous micropolar fluid equations with zero density at infinity on the whole space R-2. By weighted energy m......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2020; 17 (3)
In this paper, we consider the n-dimensional regularized incompressible Boussinesq equations with a Leray-regularization through a smoothing kernel of......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2020; 17 (3)
We consider the evolution of viscous fluids in a 2D horizontally periodic slab bounded above by a free top surface and below by a fixed flat bottom. T......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2020; 17 (2)
We present an explicit exact solution to the nonlinear governing equations in the beta-plane approximation for internal geophysical water waves propag......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2020; 17 (1)
For incompressible Navier-Stokes equations, Leray believed that, for a blow up solution, the initial data and the solution should both have the same s......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2020; 17 (1)
In this paper we consider the 3D compressible MHD system in a bounded domain. We first prove a regularity criterion and then use it and the bootstrap ......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2019; 16 (2)
In this paper, we consider the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations. The main objective of ......
期刊： DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2019; 16 (4)
Under (alpha, n - 1) epsilon [0, 1) x N this paper explores the fractional Sobolev type inclusion and the Fefferman-Stein type decomposition of the pr......
