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CONDITIONAL REGULARITY FOR THE 3D NAVIER-STOKES EQUATIONS IN TERMS OF THE MIDDLE EIGENVALUE OF THE STRAIN TENSOR

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (3)

In this paper, we consider the regularity criteria for the 3D incompressible Navier-Stokes equations involving the middle eigenvalue (lambda(2)) of th......

NEW RESULTS ON CONTROLLABILITY OF FRACTIONAL EVOLUTION SYSTEMS WITH ORDER alpha is an element of (1,2)

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (3)

This paper addresses some interesting results of mild solutions to fractional evolution systems with order alpha is an element of(1, 2) in Banach spac......

APPROXIMATE CONTROLLABILITY OF NONLOCAL PROBLEM FOR NON-AUTONOMOUS STOCHASTIC EVOLUTION EQUATIONS

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (3)

In this paper, we are considered with approximate controllability for a class of non-autonomous stochastic evolution equations of parabolic type with ......

STABILITY AND DYNAMICS FOR A NONLINEAR ONE-DIMENSIONAL FULL COMPRESSIBLE NON-NEWTONIAN FLUIDS

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (2)

In this paper, we concern with the existence of global attractors for a one-dimensional full compressible non-Newtonian fluid model defined on bounded......

STABILIZATION OF THE TRANSMISSION WAVE/PLATE EQUATION WITH VARIABLE COEFFICIENTS ON R-n

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (2)

In this article, we consider the transmission wave/plate equation with variable coefficients on R-n(n >= 3). By virtue of the Morawetz multipliers ......

BOUNDS FOR LIFESPAN OF SOLUTIONS TO STRONGLY DAMPED SEMILINEAR WAVE EQUATIONS WITH LOGARITHMIC SOURCES AND ARBITRARY INITIAL ENERGY

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (2)

The main aim of this paper is to deal with the upper and lower bounds for blow-up time of solutions to the following equation: u(tt) - Delta u - Delta......

DECAY RATE OF GLOBAL SOLUTIONS TO THREE DIMENSIONAL GENERALIZED MHD SYSTEM

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (2)

We investigate the initial value problem for the three dimensional generalized incompressible MHD system. Analyticity of global solutions was proved b......

GLOBAL EXISTENCE FOR A CLASS OF KELLER-SEGEL MODELS WITH SIGNAL-DEPENDENT MOTILITY AND GENERAL LOGISTIC TERM

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2021; 10 (1)

This paper focuses on the global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term under homogeneo......

TYKHONOV WELL-POSEDNESS OF A VISCOPLASTIC CONTACT PROBLEM

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

We consider an initial and boundary value problem P which describes the frictionless contact of a viscoplastic body with an obstacle made of a rigid b......

EXISTENCE FOR A QUASISTATIC VARIATIONAL-HEMIVARIATIONAL INEQUALITY

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

This paper deals with an evolution inclusion which is an equivalent form of a variational-hemivariational inequality arising in quasistatic contact pr......

FULLY HISTORY-DEPENDENT EVOLUTION HEMIVARIATIONAL INEQUALITIES WITH CONSTRAINTS

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

In this paper we study a new class of abstract evolution first order hemivariational inequalities which involves constraints and history-dependent ope......

HISTORY-DEPENDENT DIFFERENTIAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO CONTACT MECHANICS

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

The primary objective of this paper is to explore a complicated differential variational-hemivariational inequality involving a history-dependent oper......

DIFFERENTIAL INCLUSION PROBLEMS WITH CONVOLUTION AND DISCONTINUOUS NONLINEARITIES

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

The paper investigates a new type of differential inclusion problem driven by a weighted (p,q)-Laplacian and subject to Dirichlet boundary condition. ......

STABILITY ANALYSIS AND OPTIMAL CONTROL OF A STATIONARY STOKES HEMIVARIATIONAL INEQUALITY

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

In this paper, we provide stability analysis for a stationary Stokes hemivariational inequality where along the tangential direction of the slip bound......

MEASURABLE SOLUTIONS TO GENERAL EVOLUTION INCLUSIONS

期刊: EVOLUTION EQUATIONS AND CONTROL THEORY, 2020; 9 (4)

This work establishes the existence of measurable solutions to evolution inclusions involving set-valued pseudomonotone operators that depend on a ran......

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