Asymptotic behaviour of reversible chemical reaction-diffusion equations

The idea that the ground state’s stable manifold forms a threshold surface separating initial conditions leading to propagation or extinction was used [9] to derive estimates of

In the next section we will introduce function spaces and operators, we will obtain a priori estimates of solutions and prove the main existence result (Theorem 2.7).. It corresponds

Nonlocal consumption of resources in reaction-diffusion equations changes dynamics of so- lutions resulting in appearance of periodic travelling waves and stable pulses that do not

The fixed point technique was exploited in [13] to estimate the perturbation to the standing solitary wave of the Nonlinear Schr¨odinger (NLS) equation when either the

Keywords: fractional diffusion-reaction equations, traveling wave, phasefield theory, anisotropic mean curvature motion, fractional Laplacian, Green-Kubo type formulae..

In a second theorem (Theorem 4.2) we establish the convergence toward a delay reaction-diffusion problem (P ) where a mixing effect appears in the limit reaction functional between

On the maximization problem for solutions of reaction- diffusion equations with respect to their initial data.. Mathematical Modelling of Natural Phenomena, EDP Sciences,

Michel Pierre, Takashi Suzuki, Rong Zou. Asymptotic behavior of solutions to chemical reaction- diffusion systems.. Asymptotic behavior of solutions to chemical