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Homogenization of Stationary Navier-Stokes Equations in Domains with 3 Kinds of Typical Holes

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (3)

The aim of this paper is to investigate homogenization of stationary Navier-Stokes equations with a Dirichlet boundary condition in domains with 3 kin......

Trudinger-Moser Type Inequality Under Lorentz-Sobolev Norms Constraint

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (2)

In this paper, we are concerned with a sharp fractional Trudinger-Moser type inequality in bounded intervals of R under the Lorentz-Sobolev norms cons......

Global Attracting Sets of Neutral Stochastic Functional Differential Equations Driven by Poisson Jumps

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (2)

By means of the Banach fixed point principle, we establish some sufficient conditions ensuring the existence of the global attracting sets and the exp......

The Averaging Principle for Stochastic Fractional Partial Differential Equations with Fractional Noises

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (1)

The purpose of this paper is to establish an averaging principle for stochastic fractional partial differential equation of order alpha > 1 driven ......

Dynamical Analysis on Traveling Wave of a Reaction-Advection-Diffusion Equation with Double Free Boundaries

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (4)

This paper investigates a reaction-advection-diffusion equation with double free boundaries. The stationary solution of the system is studied by phase......

Boundedness of Toeplitz Type Operators Associated to Fractional and Pseudo-Differential Operators on Orlicz Space

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (4)

In this paper, the boundedness from Lebesgue space to Orlicz space of certain Toeplitz type operator related to the fractional and pseudo-differential......

The Nonexistence of the Solutions for the Non-Newtonian Filtration Equation with Absorption

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (4)

The paper proves the nonexistence of the solution for the following Cauchy problem (u(t) = div(vertical bar del u(m)vertical bar(p-2)del u(m)) - lambd......

Adaptive Segmentation Model for Images with Intensity Inhomogeneity based on Local Neighborhood Contrast

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (3)

Segmentation of images with intensity inhomogeneity is a significant task in the field of image processing, especially in medical image processing and......

The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (3)

We consider an inverse heat conduction problem with variable coefficient on an annulus domain. In many practice applications, we cannot know the initi......

On Free Boundary Problem for the Non-Newtonian Shear Thickening Fluids

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (1)

The aim of this paper is to explore the free boundary problem for the Non-Newtonian shear thickening fluids. These fluids not only have vacuum, but al......

Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (1)

In this paper, we establish the lower bounds estimate of the blow up time for solutions to the nonlocal cross-coupled porous medium equations with non......

Asymptotic Behavior in a Quasilinear Fully Parabolic Chemotaxis System with Indirect Signal Production and Logistic Source

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (2)

In this paper, we study the asymptotic behavior of solutions to a quasilinear fully parabolic chemotaxis system with indirect signal production and lo......

Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (1)

In this paper, we discuss the local existence of weak solutions for a parabolic system modelling chemotaxis with memory term, and we show the finite-t......

Existence of Positive Solutions for the Nonhomogeneous Schrodinger-Poisson System with Strong Singularity

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (2)

In this paper, a class of nonhomogeneous Schrodinger-Poisson systems with strong singularity are considered. Combining with the variational method and......

Global Existence of Smooth Solutions to Three Dimensional Hall-MHD System with Mixed Partial Viscosity

期刊: JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2021; 34 (1)

We investigate the global existence of smooth solutions to the three dimensional generalized Hall-MHD system with mixed partial viscosity in this work......

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