A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
A 2D model for hydrodynamics and biology coupling applied to algae growth simulations
Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produce biofuel. The complexity of this process coupling non linear biological activity to hydrodynamics makes the optimization problem very delicate. The large amount of parameters to be taken into account paves the way for a useful mathematical modeling. Due to the heterogeneity of raceways along the depth dimension regarding temperature, light intensity or nutrients availability, we adopt...
A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity.
A better numerical solution stability by using the function developments in Cazacu's proper series.
A bilinear optimal control problem applied to a time dependent Hartree-Fock equation coupled with classical nuclear dynamics.
A blowup analysis of the mean field equation for arbitrarily signed vortices
We study the noncompact solution sequences to the mean field equation for arbitrarily signed vortices and observe the quantization of the mass of concentration, using the rescaling argument.
A blow-up criterion for the strong solutions to the nonhomogeneous Navier-Stokes-Korteweg equations in dimension three
This paper proves a Serrin’s type blow-up criterion for the 3D density-dependent Navier-Stokes-Korteweg equations with vacuum. It is shown that if the density and velocity field satisfy for some and any satisfying , then the strong solutions to the density-dependent Navier-Stokes-Korteweg equations can exist globally over . Here denotes the weak space.
A Boundary Element Method for a Two-Dimensional Interface Problem in Electromagnetics.
A boundary value problem for an elliptic equation with asymmetric coefficients in a non-schlicht domain.
A calculus of observables on a Dirac particle
A central WENO-TVD scheme for hyperbolic conservation laws.
A characterization of coherent states from varying Planck's constant
A class age-structured HIV/AIDS model with impulsive drug-treatment strategy.
A Combined Finite Element and Marker and Cell Method for Solving Navier-Stokes Equations.
A combined method for computing the field of the point source in a waveguide. (A weakly curved layered medium).
A combined method for computing the field of the point source in a waveguide (plane-layered media).
A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations
We compare numerical experiments from the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method, applied to three benchmark problems based on two different partial differential equations. Both methods are described in detail and we highlight some strengths and weaknesses of each method via the numerical comparisons. The two equations used in the benchmark problems are the viscous Burgers’ equation and the porous medium equation, both...
A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006A MATHEMATICA package for finding Lie symmetries of partial differential equations is presented. The package is designed to create and solve the associated determining system of equations, the full set of solutions of which generates the widest permissible local Lie group of point symmetry transformations. Examples illustrating the functionality of the package's tools...
A confinement result for axisymmetric fluids
A conservative finite difference scheme for static diffusion equation.