We consider the Laplacian in a curved two-dimensional strip of constant width squeezed between two curves, subject to Dirichlet boundary conditions on one of the curves and variable Robin boundary conditions on the other. We prove that, for certain types of Robin boundary conditions, the spectral threshold of the Laplacian is estimated from below by the lowest eigenvalue of the Laplacian in a D...

constant communication with an intelligence analyst at operations command, and receives orders through an earpiece to don chemical-protection equipment because of new chemical weapons threat intelligence in the area. The chemical-protection suit is similar to but weighs less than those in use today. Most importantly, because it encloses the soldier's head, the suit has an augmented hearing syst...

This article proposes a boundary element method for the dynamic contact between linearly elastic body and rigid obstacle. The Signorini problem is formulated as variational inequality Poincar\'{e}-Steklov operator elastodynamic equations on boundary, which solved in mixed formulation using elements time domain. We obtain an priori estimate resulting Galerkin approximations. Numerical experiment...

We investigate the deformation of D–brane world–volumes in curved backgrounds. We calculate the leading corrections to the boundary conformal field theory involving the background fields, and in particular we study the correlation functions of the resulting system. This allows us to obtain the world–volume deformation, identifying the open string metric and the noncommutative deformation parame...

Surface formulations of biophysical modeling problems offer attractive theoretical and computational properties. Numerical simulations based on these formulations usually begin with discretization of the surface under consideration; often, the surface is curved, possessing complicated structure and possibly singularities. Numerical simulations commonly are based on approximate, rather than exac...

We consider an ideal gas of infinitely rigid rods near a perfectly repulsive wall, and show that the interfacial tension of a surface with rods on one side is lower when the surface bends towards the rods. Surprisingly we find that rods on both sides of surfaces also lower the energy when the surface bends. We compute the partition functions of rods confined to spherical and cylindrical open sh...

This paper is an attempt to determine quasi-static thermal stresses in a thin elliptical plate which is subjected to transient temperature on the top face with zero temperature on the lower face and the homogeneous boundary condition of the third kind on the fixed elliptical curved surface. The solution to conductivity equation is elucidated by employing a classical method. The solution of stre...

Microorganisms navigate through fluid, often confined by complex environments, to survive and sustain life. Inspired this fact, we consider a model system seek understand the wall curvature driven dynamics of squirmer, mathematical for microswimmer, using (i) lattice Boltzmann simulations (ii) analytical theory \citet{dario_gareth}. The instantaneous is presented in terms fluid velocity fields,...

Field curvature and other aberrations are encountered inevitably when designing a compact fluorescence imaging system with a simple lens. Although multiple lens elements can be used to correct most such aberrations, doing so increases system cost and complexity. Herein, we propose a wide field-of-view (FOV) fluorescence imaging method with an unconventional optical-quality curved sample chamber...