Local controllability of reaction-diffusion systems around nonnegative stationary states

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stationary States of Reaction-Diffusion and Schrödinger Systems with Inhomogeneous or Controlled Diffusion

We obtain classification, solvability and nonexistence theorems for positive stationary states of reaction-diffusion and Schrödinger systems involving a balance between repulsive and attractive terms. This class of systems contains PDE arising in biological models of Lotka-Volterra type, in physical models of Bose-Einstein condensates and in models of chemical reactions. We show, with different...

متن کامل

Stationary multiple spots for reaction-diffusion systems.

In this paper, we review analytical methods for a rigorous study of the existence and stability of stationary, multiple spots for reaction-diffusion systems. We will consider two classes of reaction-diffusion systems: activator-inhibitor systems (such as the Gierer-Meinhardt system) and activator-substrate systems (such as the Gray-Scott system or the Schnakenberg model). The main ideas are pre...

متن کامل

Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems

In this paper, we investigate the exact controllability properties of an advection-diffusion equation on a bounded domain, using timeand space-dependent velocity fields as the control parameters. This partial differential equation (PDE) is the Kolmogorov forward equation for a reflected diffusion process that models the spatiotemporal evolution of a swarm of agents. We prove that if a target pr...

متن کامل

Approximate controllability of a reaction-diffusion system

An open-loop control for a system coupling a reaction-diffusion system and an ordinary differential equation is proposed in this study. We use a flatness-like property, indeed, the solution can be expressed in terms of an infinite series depending on a flat output, its derivatives and its integrals. This series is shown to be convergent if the flat output is Gevrey of order 1 < a ≤ 2. Approxima...

متن کامل

Nonlinear analysis of stationary patterns in convection-reaction-diffusion systems

Olga A. Nekhamkina, Alexander A. Nepomnyashchy, Boris Y. Rubinstein, and Moshe Sheintuch Department of Chemical Engineering, Technion–IIT, Technion City, Haifa 32 000, Israel Department of Mathematics, Technion–IIT, Technion City, Haifa 32 000, Isreal Minerva Center for Research in Nonlinear Phenomena, Technion–IIT, Technion City, Haifa 32 000, Israel ~Received 16 June 1999; revised manuscript ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations

سال: 2020

ISSN: 1292-8119,1262-3377

DOI: 10.1051/cocv/2019033