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Global existence and large-time behavior for primitive equations with the free boundary
In the present paper, the primitive equations, which can be used to simulate the large-scale motion of the ocean and atmosphere, are considered in...
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Asymptotic Behavior of Solutions for Multi-stable Equation with Dirichlet Boundary Condition
We study a free boundary problem with a type of multi-stable nonlinearity and a Dirichlet boundary condition, the model describes the spreading of...
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Boundary Behavior of Map**s with Poletsky Inequality
Here, we consider the problem of a continuous extension of map**s that satisfy direct Poletsky’s inequality to the boundary of a domain. First of...
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On Tangential Boundary Behavior of Functions from Hardy Type Spaces
AbstractIt is well known that functions from the Hardy spaces have limit values almost everywhere on the boundary. For example, in case of the unit...
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Local and Boundary Behavior of Maps in Metric Spaces
This chapter is devoted to the study of map**s with the (direct) Poletsky inequality in metric spaces. We have obtained theorems of Montel type on...
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Boundary Behavior of Large Solutions to the Infinity Laplace Equations on the Half-Line
AbstractBy adopting the method of upper and lower solutions, this article shows the blow-up rate of the unique nonnegative viscosity solution
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On the Asymptotic Behavior of Thermoelastic Plate with Terms Concentrated in the Boundary
In this paper we consider autonomous thermoelastic plate systems with Neumann boundary conditions when some reaction terms are concentrated in a...
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Optimal Control of the Behavior of Solutions to an Initial-Boundary Value Problem Arising in the Mechanics of Discrete-Continuum Systems
We consider an initial-boundary value problem for a system of two differential equations, one of which is ordinary and the other a partial...
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On Boundary Behavior of Map**s with Poletsky Inequality in Terms of Prime Ends
This chapter is devoted to the study of various classes of map**s satisfying the (direct) Poletsky inequality in the context of their boundary...
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Nonstandard Boundary Conditions
In this Chapter, we study three variants of the least gradient problem related to the shape of the domain. The first one concerns the case when we...
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On the Local and Boundary Behavior of Map**s of Factor Spaces
In this chapter, we study map**s acting between domains of two factor spaces by certain groups of Möbius automorphisms of the unit ball that act...
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Long time behavior of semilinear wave equation with localized interior dam** term under acoustic boundary condition
This paper is concerned with the long time dynamics of the semilinear wave equation including localized interior dam** term under acoustic boundary...
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Fuzzy Parametric Behavior for the Flow of MHD Williamson Nanofluid with Melting Heat Transfer Boundary Condition
The current investigation is based upon the fuzzy interface model, utilized for the parametric behavior embedding in the flow characteristics of the...
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Local and Boundary Behavior of Map**s on Riemannian Manifolds
The results of this chapter were obtained together with D. Ilyutko. The main results focus mainly on the following problems: (1) the local properties...
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Boundary Values in the Geometric Function Theory in Domains with Moving Boundaries
This article addresses the problem of boundary correspondence for a sequence of homeomorphisms that change the capacity of a condenser in...
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Weighted boundary limits of the Kobayashi--Fuks metric on h-extendible domains
We study the boundary behavior of the Kobayashi--Fuks metric on the class of h-extendible domains. Here, we derive the nontangential boundary...