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A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion
(2015)
In this paper, we are concerned with a model of the indirect transmission of an epidemic disease between two spatially distributed host populations having non-coincident spatial domains with nonlocal and cross-diffusion, ...
Magnetic field evolution and equilibrium configurations in neutron star cores: the effect of ambipolar diffusion
(2017)
As another step towards understanding the long-term evolution of the magnetic field in neutron stars, we provide the first simulations of ambipolar diffusion in a spherical star. Restricting ourselves to axial symmetry, ...
On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation
(2016)
Implicit-explicit (IMEX) Runge-Kutta (RK) methods are suitable for the solution of nonlinear, possibly strongly degenerate, convection-diffusion problems, since the stability restrictions, coming from the explicitly treated ...
Diffuse intracluster light at intermediate redshifts: intracluster light observations in an X-ray cluster at z= 0.29
(2011)
The diffuse intracluster light (ICL) contains a significant fraction of the total stellar mass in clusters of galaxies, and contributes in roughly equal proportion as the hot intra-cluster medium (ICM) to the total baryon ...
DELAY REACTION-DIFFUSION EQUATION FOR INFECTION DYNAMICS
(2019)
Nonlinear dynamics of a reaction-diffusion equation with delay is studied with numerical simulations in 1D and 2D cases. Homogeneous in space solutions can manifest time oscillations with period doubling bifurcations and ...
Speed Selection and Stability of Wavefronts for Delayed Monostable Reaction-Diffusion Equations
(2016)
We study the asymptotic stability of traveling fronts and the front's velocity selection problem for the time-delayed monostable equation with Lipschitz continuous reaction term . We also assume that g is -smooth in some ...
Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation
(2019)
Reaction-diffusion equation with a bistable nonlocal nonlinearity is considered in the case where the reaction term is not quasi-monotone. For this equation, the existence of travelling waves is proved by the Leray-Schauder ...
ANALYSIS OF THE ATTAINMENT OF BOUNDARY CONDITIONS FOR A NONLOCAL DIFFUSIVE HAMILTON-JACOBI EQUATION
(2018)
We study whether the solutions of a parabolic equation with diffusion given by the fractional Laplacian and a dominating gradient term satisfy Dirichlet boundary data in the classical sense or in the generalized sense of ...