Results 31 to 40 of about 1,584 (227)

Stability of limit regimes in general reaction-diffusion type systems

Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022
In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян, Т. В. Юсипів   +1 more
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Nonlinear submeans on semigroups

Topological Methods in Nonlinear Analysis, 2003
Let \(S\) be a semigroup and \(X\) be a subspace of \(l^\infty(S)\) containing constants, where \(l^\infty(S)\) denotes the Banach space of bounded real-valued functions on \(S\) with supremum norm. A continuous linear functional \(\mu\) on \(X\) is called a {mean} if \(\| \mu\| =\mu(1)=1\).
W.Takahashi, A.T.Lau
openaire   +4 more sources

Large deviation principle and thermodynamic limit of chemical master equation via nonlinear semigroup

, 2023
Chemical reactions can be modeled by a random time-changed Poisson process on countable states. The macroscopic behaviors, such as large fluctuations, can be studied via the WKB reformulation. The WKB reformulation for the backward equation is Varadhan's
Gao, Yuan, Liu, Jian-Guo
core  

Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]

Archives of Control Sciences
This paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad, Chahrazed Boudefla   +1 more
doaj   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley   +1 more source

A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space

, 1981
We prove a nonlinear ergodic theorem for noncommutative semigroups of nonexpansive mappings in a Hilbert space. Furthermore, we give a necessary and sufficient condition for a noncommutative semigroup to have a fixed point.
Wataru Takahashi
core   +1 more source

About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces

Journal of Function Spaces, 2016
A recent nonlinear alternative for multivalued contractions in Fréchet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions ...
Selvaraj Suganya, Dumitru Baleanu, Siva Selvarasu, Mani Mallika Arjunan   +3 more
doaj   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source