bounded domain
Optimal boundary conditions for the Navier-Stokes fluid in a bounded domain with a thin layer
... In this paper, we derive the optimal boundary conditions of the Navier-Stokes fluid in a bounded domain with a thin layer. We get the effects of the layer by investigating the limiting δ , the thickness of ...
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Blow-up criteria for 3D nematic liquid crystal models in a bounded domain
... with |d| ≡ in (, ∞) × . Li and Wang [] proved that the problem has a unique local strong solution. When := R , Fan et al. [] proved a regularity criterion. The aim of this paper is to study the regularity ...
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Blow-up criteria for Boussinesq system and MHD system and Landau-Lifshitz equations in a bounded domain
... In this paper, we prove some blow-up criteria for the 3D Boussinesq system with zero heat conductivity and MHD system and Landau-Lifshitz equations in a bounded domain.. MSC: 35Q30; 76D0[r] ...
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Random Attractors of Stochastic Non Autonomous Nonclassical Diffusion Equations with Linear Memory on a Bounded Domain
... a bounded domain, Cheng used the de- composition method of the solution operator to consider the stochastic non- classical diffusion equation with fading ...un- bounded domains perturbed by a ...
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Optimal couples of rearrangement invariant spaces for the Riesz potential on the bounded domain
... Optimal couples of rearrangement invariant spaces for the Riesz potential on the bounded domain Shin Min Kang1 , Arif Rafiq2 , Waqas Nazir2 , Irshaad Ahmad3 , Faisal Ali4 and Young Chel K[r] ...
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Existence of positive ground state solutions of Schrödinger–Poisson system involving negative nonlocal term and critical exponent on bounded domain
... tion. Few works concern the existence of solutions for the Schrödinger–Poisson sys- tem on a bounded domain, particularly, critical nonlinearity except [2, 7, 8]. Up to now, Schrödinger–Poisson system (1.1) ...
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Metastability for scalar conservation laws in a bounded domain
... a bounded in- terval I = (−`, `) is considered, with emphasis on the metastable dynamics, whereby the time-dependent solution develops internal transition layers that approach their steady state in an ...
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Non-local Boundary Condition Steklov Problem for A Laplace Equation in Bounded Domain
... a bounded, convex plane domain in the direc- tion x 2 , its boundary Γ is a Lyapunov line ...this domain along the axis x 1 parallel to x 2 , the boundary Γ will be divided into two ...considered ...
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Local Existence for Boussinesq Equations with Slip Boundary Condition in a Bounded Domain
... the initial density is positive and bounded. For example, when the initial data is piecewise smooth, the solutions shown in [17] satisfy the Rankine-Hugoniot conditions in a strict point wise sense. On the other ...
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On non-local reaction-diffusion system in a bounded domain
... domain. Since the integration is in , they impose the requirement that the diffusion takes place only in . The individuals may not enter nor leave . This is the analogous of what is called homogeneous Neumann ...
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Some results on the eigenvalue problem for a fractional elliptic equation
... space domain R N , there are several equivalent defi- nitions of the fractional Laplacian operator (–) s , classical references being ...a bounded domain Ω, things get complicated because there are ...
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Radial sign-changing solutions to biharmonic nonlinear Schrödinger equations
... Another relevant question about both problems (.) and (.) is the existence of sign- changing solutions, sometimes called nodal solutions. For the second-order problem there are several papers dealing with this ...
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Shy couplings, CAT(0) spaces, and the lion and man
... a bounded domain which is CAT(0) in its intrinsic ...to bounded CAT(0) domains is dealt with in Alexander, Bishop, and Ghrist (2006); we summarize concepts from metric geometry and develop results ...
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Uniqueness result for a fractional diffusion coefficient identification problem
... In this paper, we established a uniqueness result for the coefficient identification problem in a fractional diffusion equation in a bounded domain from the observation of the Cauchy data on[r] ...
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Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation
... equation (.) is of hyperbolic-parabolic mixed type and might have a discontinuous so- lution. The posedness of the Cauchy problem of equation (.) has been deeply investi- gated (see [–] etc.). At the same time, Li ...
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Young measure solutions for a fourth-order wave equation with variable growth
... In this paper, we study the existence of Young measure solutions to a fourth-order wave equation with variable exponent nonlinearity on a bounded domain. The asymptotic behavior of the Young measure ...
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Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... (i) We successfully developed the fractional order implicit finite difference scheme for time space fractional soil moisture diffusion equation in a bounded domain.. [r] ...
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A look at how LDG and BEM can be coupled
... a bounded domain, when all the difficulties (inhomogeneities, sources, nonlinearities) happen in a bounded region outside of which the problem is a simple linear homogeneous PDE with constant ...
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Partial vanishing viscosity limit for the 2D Boussinesq system with a slip boundary condition
... , the problem has been solved by Chae [1]. When θ = 0, the Boussinesq system reduces to the well-known Navier-Stokes equations. The investigation of the inviscid limit of solutions of the Navier-Stokes equations is a ...
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A regularity criterion for the Keller-Segel-Euler system
... We consider the D Keller-Segel-Euler system in a bounded domain. It is a challenging open problem whether the local solution exists globally. Here, a regularity criterion in terms of the vorticity and ...
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