Visitor center plays an important role in the normal operation and sustainable development of scenic spots, especially as a portal image of its management. This paper presents resilience theory for visitor centers to identify some common issues in designing visitor centers in China scenic spots,...

First, let u <Subscript> g </Subscript> be the unique solution of an elliptic variational inequality with source term g. We establish, in the general case, the error estimate between <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$u_{3}(\mu)=\mu u_{g_{1}}+ (1-\mu)u_{g_{2}}$</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$u_{4}(\mu)=u_{\mu g_{1}+ (1-\mu) g_{2}}$</EquationSource> </InlineEquation> for μ∈[0,1]. Secondly, we consider a...</equationsource></inlineequation></equationsource></inlineequation></subscript>

This paper is intended to give a representation for a stochastic viscosity solution of semi-linear reflected stochastic partial differential equations with nonlinear Neumann boundary condition. We use its connection with reflected generalized backward doubly stochastic differential equations.

In this paper we discuss the level set method of Joó and how to use it to give an elementary proof of the well-known Sion’s minimax result. Although this proof technique is initiated by Joó and based on the inter-section of upper level sets and a clever use of the topological notion of...

In this paper we discuss the level set method of Joó and how to use it to give an elementary proof of the well-known Sion’s minimax result. Although this proof technique is initiated by Joó and based on the inter-section of upper level sets and a clever use of the topological notion of...

The numerical prediction of the power performance of a marine current turbine under a free surface is difficult to pursue due to its complex geometry, fluid–structural interactions and ever-changing free surface interface. In this paper, an immersed boundary method is used to couple the...

The present study reports a numerical investigation of water and CO2 (carbon dioxide) flooding at the pore scale of a porous medium. We use high resolution micro-computed tomography (micro-CT) images of Berea sandstone core to obtain the pore geometry. The numerical solution used for the...