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Asymptotic Behavior for an Oldroyd-B Model in Two Dimensions

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 172 (1)

The paper is devoted to asymptotic behavior for a compressible Oldroyd-B model in T-2. We prove that the weak solution will converge to the strong sol......

Influence of Flux Limitation on Large Time Behavior in a Three-Dimensional Chemotaxis-Stokes System Modeling Coral Fertilization

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 174 (1)

In this paper, we consider the following system {n(t) + u center dot del n = Delta n - del center dot (nS(vertical bar del c vertical bar(2)del c) - n......

Existence and Time Decay for Global Small Solution of 2D Generalized Magneto-Micropolar Equations

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 174 (1)

This paper is concerned with the 2D magneto-micropolar equations with linear velocity damping and partial magnetic diffusion. We first examine that th......

Existence of Solutions to Steady MHD System with Multiply Connected Boundary

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 175 (1)

In this paper, we study the inhomogeneous boundary value problem for the steady MHD system of a viscous incompressible fluid in an arbitrary bounded m......

Particle Dynamics with Elastic Collision at the Boundary: Existence and Partial Uniqueness of Solutions

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 174 (1)

We consider the dynamics of point particles which are confined to a bounded, possibly non-convex domain Omega. Collisions with the boundary are descri......

A New Existence Theorem on Three Critical Points for Locally Lipschitz Functional and an Application

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 173 (1)

In the present paper, a new existence theorem on three critical points for locally Lipschitz functional is given, and as its an application, a class o......

Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 174 (1)

A novel approach to the exponential stability in mean square of stochastic functional differential equations and neutral stochastic functional differe......

Controllability of Impulsive Fractional Integro-Differential Evolution Equations

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 175 (1)

In this paper, we are concerned with the controllability for a class of impulsive fractional integro-differential evolution equation in a Banach space......

Uniform Estimates for a Compressible Full MHD-P1 Approximate Model Arising in Radiation MHD

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 173 (1)

We prove the uniform estimates of strong solutions to a compressible full MHD-P1 approximate model arising in radiation magnetohydrodynamics.

Global Solvability to a 3D Chemotaxis-Fluid Model with Matrix-Valued Supercritical Sensitivities

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 173 (1)

In this paper, a 3D chemotaxis-fluid system which includes matrix-valued sensitivity functions and porous medium type diffusion is studied. Assuming t......

Regularity Criteria of the Density-Dependent Incompressible Ideal Boussinesq and Liquid Crystals Model

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 173 (1)

In this paper, we prove some regularity criteria for the density-dependent incompressible Boussinesq and liquid crystals model. The Kato-Ponce type co......

Behavior of Riemann Solutions of Extended Chaplygin Gas Under the Limiting Condition

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 174 (1)

For this paper, we first obtain the Riemann solutions for the one-dimensional non-isentropic Euler equations of extended Chaplygin gas. The solutions ......

Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn-Hilliard Model by Using Lagrange Multiplier Approach

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 172 (1)

We develop a second-order accurate, energy stable, and linear numerical method for a ternary Cahn-Hilliard (CH) model. The proposed scheme is an exten......

Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD Equations with No Vacuum at Infinity

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 175 (1)

In this paper, we study the Cauchy problem of 1D non-resistive compressible magnetohydrodynamics (MHD) equations. We established the global existence ......

Optimal Z-Eigenvalue Inclusion Intervals for Even Order Tensors and Their Applications

期刊: ACTA APPLICANDAE MATHEMATICAE, 2021; 174 (1)

Firstly, the optimal Z-eigenvalue inclusion interval for the interval in Theorem 3 of (Acta Appl. Math. 169:323-339, 2020) for even order tensors is g......

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