Spontaneously Flowing Crystal of Self-Propelled Particles

The schemes are con- structed by combing a discontinuous Galerkin approximation to the Vlasov equation together with a mixed finite element method for the Poisson problem.. We

Thus semantic connection should replace semantic value as the principal object of semantic enquiry; and just as the semantic evaluation of a complex expression is naturally taken

The typed assembly language we present is based on a conventional RISC assembly language, but its static type system provides support for enforcing high-level language

(Indeed, for the leading terms xy, xz, yz, or xy, zx, yz, we can take the element zy N x, for the leading terms yx, xz, yz, or yx, xz, zy, the element zx N y, for the leading terms

We introduce a family of DG methods for (1.1)–(1.3) based on the coupling of a DG approximation to the Vlasov equation (transport equation) with several mixed finite element methods

10, the resulting hydrodynamics (later on referred to as hydrodynamic model for self-alignment with precession) consists of a conservation law for the density and a

On the other hand, in the region where the density is above the threshold, the large-scale dynamics is described by a similar hydrodynamic model for self-alignment interactions

In this paper, we propose a nonlocal model for linear steady Stokes equation with no-slip boundary condition.. The main idea is to use volume constraint to enforce the no-slip