The significance of the mechanical pressure of light in creation of laser-induced periodic surface structures (LIPSSs) is investigated. Distributions of the electrically induced normal pressure and tangential stress at the illuminated solid surface, as well as the field of volume electrostrictive forces, are calculated taking into account surface plasmon polariton (SPP) excitation. Based on the...

Stationary and instationary Stokes and Navier-Stokes flows are considered on two-dimensional manifolds, i.e., on curved surfaces in three dimensions. The higherorder surface FEM is used for the approximation of the geometry, velocities, pressure, and Lagrange multiplier to enforce tangential velocities. Individual element orders are employed for these various fields. Stream-line upwind stabiliz...

A new ultrasonic phased array transducer to increase the imaging resolution of the borehole wall is presented for acoustical logging. We fabricate a cylindrical phased array which is made up of 128 piezoelectric elements distributed on the surface of a cylinder uniformly. The working frequency of each element is 0.5MHz. Through the switch array, different combinations of the elements can lead a...

We study the Korn-Poincaré inequality: ‖u‖W1,2(Sh) ≤ Ch‖D(u)‖L2(Sh), in domains S that are shells of small thickness of order h, around an arbitrary compact, boundaryless and smooth hypersurface S in R. By D(u) we denote the symmetric part of the gradient ∇u, and we assume the tangential boundary conditions: u · ~n = 0 on ∂S. We prove that Ch remains uniformly bounded as h→ 0, for vector fields...

An approximate Riemann solver for the equations of relativistic magnetohydrodynamics (RMHD) is derived. The HLLC solver, originally developed by Toro, Spruce and Spears, generalizes the algorithm described in a previous paper (Mignone & Bodo 2004) to the case where magnetic fields are present. The solution to the Riemann problem is approximated by two constant states bounded by two fast shocks ...

Ferromagnetic Nanostructures Vortex type ordering of magnetization is often reported to stabilize in ferromagnetic nanodiscs. As presented article number 2100167 by I. B. Misirlioglu and co-workers, chirality a vortex can be clockwise or counter that represent states used as information bits. Their deterministic manipulation possible via nanosecond electric pulses along the plane normal, asymme...

We establish the well-posedness of MHD boundary layer system in Gevrey function space without any structural assumption. Compared to classical Prandtl equation, loss tangential derivative comes from both velocity and magnetic fields that are coupled with each other. By observing a new type cancellation mechanism for overcoming degeneracy, we show is well-posed index up 3/2 two- three-dimensiona...

This paper concerns the vanishing viscosity and magnetic resistivity limit for two-dimensional steady incompressible MHD system on half-plane with no-slip boundary conditions velocity fields perfectly conducting wall fields. We prove nonlinear stability of shear flows Prandtl type nondegenerate tangential but without any positivity or monotonicity assumption It contrasts sharply Navier–Stokes e...

A smooth, strongly $\mathbb{C}$-convex, real hypersurface $S$ in $\mathbb{CP}^n$ admits a projective dual CR structure addition to the standard structure. Given smooth function $u$ on $S$, we provide characterizations for when can be decomposed as sum of and function. Following work Lee pluriharmonic boundary values, characterization using differential forms. We further tangential vector fields...