Distribution-valued weak solutions to a parabolic problem arising in financial mathematics.
Domains of attraction of equilibria and monotonicity properties of convergent trajectories in parabolic systems admitting strong comparison principle.
Dos algoritmos para la resolución numérica de una ecuación parabólica casi-lineal.
Double-barriers-reflected BSDEs with jumps and viscosity solutions of parabolic integrodifferential PDEs.
Doubling properties for second order parabolic equations.
Doubly nonlinear parabolic equations related to the -Laplacian operator.
Doubly nonlinear parabolic equations related to the -Laplacian operator: Semi-discretization.
Droplet spreading under weak slippage : the waiting time phenomenon
Dual extremum principles for a homogeneous Dirichlet problem for a parabolic equation.
Dynamic analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with delays.
Dynamic programming for stochastic target problems and geometric flows
Dynamic theory of quasilinear parabolic systems. III. Global existence (Erratum).
Dynamic Theory of Quasilinear Parbolic Systems. III. Global Existence.
Dynamical problems without initial conditions for elliptic-parabolic equations in spatial unbounded domains.
Dynamics and patterns of an activator-inhibitor model with cubic polynomial source
The dynamics of an activator-inhibitor model with general cubic polynomial source is investigated. Without diffusion, we consider the existence, stability and bifurcations of equilibria by both eigenvalue analysis and numerical methods. For the reaction-diffusion system, a Lyapunov functional is proposed to declare the global stability of constant steady states, moreover, the condition related to the activator source leading to Turing instability is obtained in the paper. In addition, taking the...
Dynamics of Erythroid Progenitors and Erythroleukemia
The paper is devoted to mathematical modelling of erythropoiesis, production of red blood cells in the bone marrow. We discuss intra-cellular regulatory networks which determine self-renewal and differentiation of erythroid progenitors. In the case of excessive self-renewal, immature cells can fill the bone marrow resulting in the development of leukemia. We introduce a parameter characterizing the strength of mutation. Depending on its value, leukemia will or will not develop. The simplest...
Dynamics of Propagation Phenomena in Biological Pattern Formation
A large variety of complex spatio-temporal patterns emerge from the processes occurring in biological systems, one of them being the result of propagating phenomena. This wave-like structures can be modelled via reaction-diffusion equations. If a solution of a reaction-diffusion equation represents a travelling wave, the shape of the solution will be the same at all time and the speed of propagation of this shape will be a constant. Travelling wave solutions of reaction-diffusion systems have been...
Dynamique des tourbillons de vorticité pour l’équation de Ginzburg-Landau parabolique