Explicit exponential convergence to equilibrium for nonlinear reaction–diffusion systems with detailed balance condition
نویسندگان
چکیده
منابع مشابه
Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance
Under the condition of detailed balance and some additional restrictions on the size of the coefficients, we identify the equilibrium distribution to which solutions of the discrete coagulation-fragmentation system of equations converge for large times, thus showing that there is a critical mass which marks a change in the behavior of the solutions. This was previously known only for particular...
متن کاملExponential Convergence to Equilibrium for Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry
We consider a prototypical nonlinear reaction-diffusion system arising in reversible chemistry. Based on recent existence results of global weak and classical solutions derived from entropy-decay related apriori estimates and duality methods, we prove exponential convergence of these solutions towards equilibrium with explicit rates in all space dimensions. The key step of the proof establishes...
متن کاملConvergence to equilibrium for some nonlinear evolution equations with dynamical boundary condition
The asymptotic behavior of global solutions of nonlinear evolution equations, in particular convergence to a certain equilibrium as time tends to infinity has become one of the main concerns in the field of nonlinear evolution equations since 1980s. For one space dimension case, significant progresses have been made (see e.g., [6]). However, the situation in higher space dimension case is much ...
متن کاملLangevin dynamics neglecting detailed balance condition.
An improved method for driving a system into a desired distribution, for example, the Gibbs-Boltzmann distribution, is proposed, which makes use of an artificial relaxation process. The standard techniques for achieving the Gibbs-Boltzmann distribution involve numerical simulations under the detailed balance condition. In contrast, in the present study we formulate the Langevin dynamics, for wh...
متن کاملExponential stabilization for nonlinear systems with applications to nonholonomic systems
The paper proposes a general framework to study the exponential stabilization problem for a class of nonlinear systems. By using the σ-processing, the exponential stabilization problem can be solved provided that all solutions of an augmented system are uniformly globally bounded. Based on this result, a simple and general stability criterion is presented. Two well-known nonholonomic systems ar...
متن کاملذخیره 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: Nonlinear Analysis
سال: 2017
ISSN: 0362-546X
DOI: 10.1016/j.na.2017.02.007