This paper deals with a quasilinear parabolic-parabolic-elliptic attraction-repulsion chemotaxis system. Boundedness, stabilization and blow-up in this system of the fully parabolic parabolic-elliptic-elliptic versions have already been proved. The purpose is to derive boundedness version.

In this paper we introduce a new framework for image registration. Our formulation is based on consistent discretization of the optimization problem coupled with a multigrid solution of the linear system which evolve in a Gauss-Newton iteration. We show that our discretization is h-elliptic independent of parameter choice and therefore a simple multigrid implementation can be used. To overcome ...

We present a numerical simulation of an axisymmetric, laminar diiusion ame with nite rate chemistry on serial and distributed memory parallel computers. We use the total mass, momentum, energy, and species conservation equations with the compressible Navier-Stokes equations written in vorticity-velocity form. The computational algorithm for solving the resulting nonlinear coupled elliptic parti...

where u and φ1, φ2 are, respectively, the complexand the real-valued functions of spatial coordinates x, y and the time t. The parameters σ, κ, γ,m1,m2, λ, n are real constants and σ is normalized as | σ |= 1. The GDS system has been derived to model 2 + 1 dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses [1]. The parametric relation (λ − 1)(m2 −...

Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from the Laplace-type invariants of the system of linear hyperbolic equations equivalent to the system of linear elliptic equations via linear comp...

A bstract We present and solve a soliton equation which we call the non-chiral intermediate Heisenberg ferromagnet (ncIHF) equation. This equation, depends on parameter ? > 0, describes time evolution of two coupled spin densities propagating real line, in limit ? ? it reduces to decoupled half-wave maps (HWM) equations opposite chirality. show that ncIHF is related -type hyperbolic Calogero...

Extending previous work with Lattanzio and Mascia on the scalar (in fluid-dynamical variables) Hamer model for a radiative gas, we show nonlinear orbital asymptotic stability of smallamplitude shock profiles of general systems of coupled hyperbolic–eliptic equations of the type modeling a radiative gas, that is, systems of conservation laws coupled with an elliptic equation for the radiation fl...

In this paper we discuss some new finite element methods for flows which are governed by the linear stationary Stokes system on one part of the domain and by a second order elliptic equation derived form Darcy’s law in the rest of the domain, and where the solutions in the two domain are coupled by proper interface conditions. All the methods proposed here utilizes the same finite element space...

The traction exerted by a cell on a planar deformable substrate can be indirectly obtained on the basis of the displacement field of the underlying layer. The usual methodology used to address this inverse problem is based on the exploitation of the Green tensor of the linear elasticity problem in a half space (Boussinesq problem), coupled with a minimization algorithm under force penalization....

We consider in this paper numerical approximations of phase-field models for twophase complex fluids. We first reformulate the phase-field models derived from an energetic variational formulation into a form which is suitable for numerical approximation and establish their energy laws. Then, we construct two classes, stabilized and convex-splitting, of decoupled time discretization schemes for ...