Propagation of Local Disturbances in Reaction Diffusion Systems Modeling Quadratic Autocatalysis

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

Dissipative reaction diffusion systems with quadratic growth

We introduce a class of reaction diffusion systems of which weak solution exists global-in-time with relatively compact orbit in L. Reaction term in this class is quasi-positive, dissipative, and up to with quadratic growth rate. If the space dimension is less than or equal to two, the solution is classical and uniformly bounded. Provided with the entropy structure, on the other hand, this weak...

متن کامل

Reaction-Diffusion Systems for Hypothesis Propagation

This paper describes a technique for determining a classiication map or a hypothesis selection map using a system of reaction-diiusion equations. The reaction term of the equations is a replicator equation and provides a mutually exclusive solution. The diffusion term exploits the local consistency of the solution. The technique is eecient for problems with a small labeling space compared to an...

متن کامل

Competitive autocatalysis in reaction-di†usion systems

The behaviour of a system comprising two competitive autocatalytic processes, A ] B] 2B, and A] C] 2C, rate \ k1a6 b 6 where and represent the concentrations of the various species, is considered. In a well-stirred batch reactor, the rate \ 2 a6 c6 , a6 , b 6 c6 Ðnal equilibrium composition always corresponds to a mixture of the two product species B and C, with their respective equilibrium con...

متن کامل

Autocatalysis in Reaction Networks

The persistence conjecture is a long-standing open problem in chemical reaction network theory. It concerns the behavior of solutions to coupled ODE systems that arise from applying mass-action kinetics to a network of chemical reactions. The idea is that if all reactions are reversible in a weak sense, then no species can go extinct. A notion that has been found useful in thinking about persis...

متن کامل

Fluctuation-regularized front propagation dynamics in reaction-diffusion systems.

We introduce and study a new class of fronts in finite particle-number reaction-diffusion systems, corresponding to propagating up a reaction-rate gradient. We show that these systems have no traditional mean-field limit, as the nature of the long-time front solution in the stochastic process differs essentially from that obtained by solving the mean-field deterministic reaction-diffusion equat...

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: SIAM Journal on Applied Mathematics

سال: 2008

ISSN: 0036-1399,1095-712X

DOI: 10.1137/07070276x