Results 51 to 60 of about 866 (222)
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
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
Green index and finiteness conditions for semigroups
Let S be a semigroup and let T be a subsemigroup of S. Then T acts on S by left and by right multiplication. If the complement S \ T has finitely many strong orbits by both these actions we say that T has finite Green index in S.
R. Gray +7 more
core +1 more source
Let TX be the full transformation semigroup on a set X. For a fixed nonempty subset Y of a set X, let TX,Y be the semigroup consisting of all full transformations from X into Y.
Worachead Sommanee
doaj +1 more source
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
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
Let n be a positive integer.Let On and POn denote the order-preserving transformation semigroup and the order-preserving partial transformation semigroup on Xn={1,2,…,n} under composition respectively.We describe all homorphisms from On to POn,and give ...
GAO Jingnan, YANG Xiuliang
doaj
Semigroups of transformations restricted by an equivalence
Abstract Suppose σ is an equivalence on a set X and let E(X, σ) denote the semigroup (under composition) of all α: X → X such that σ ⊆ α ∘ α −1. Here we characterise Green’s relations and ideals in E(X, σ). This is analogous to recent work by Sullivan on K(V, W), the semigroup (under composition) of all linear ...
Gonçalves, Suzana Mendes +1 more
openaire +2 more sources
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
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 +2 more
wiley +1 more source
Generalised domain and E-inverse semigroups [PDF]
A generalised D-semigroup is here defined to be a left E-semiabundant semigroup S in which the \overline{\mathcal R}_E-class of every x\in S contains a unique element D(x) of E, made into a unary semigroup.
Stokes, Tim E., Tim Stokes
core +1 more source
A nilpotent-generated semigroup associated with a semigroup of full transformations [PDF]
SynopsisLet X be a set with infinite regular cardinality m and let ℱ(X) be the semigroup of all self-maps of X. The semigroup Qm of ‘balanced’ elements of ℱ(X) plays an important role in the study by Howie [3,5,6] of idempotent-generated subsemigroups of ℱ(X), as does the subset Sm of ‘stable’ elements, which is a subsemigroup of Qm if and only if m is
Howie, John M., Smith, M. Paula Marques
openaire +2 more sources

