Results 31 to 40 of about 154 (124)
Numerical Approach of a Porous Thermoelastic Problem With Microtemperatures and Fading Memory
ABSTRACT In this work, we study, from the numerical point of view, a porous thermoelastic problem with microtemperatures, where the thermal evolution is influenced by the history of both the temperature and microtemperatures. This leads to a coupled system of partial integro‐differential equations.
Noelia Bazarra +3 more
wiley +1 more source
The objective of this article is to prove the existence of piecewise continuous mild solutions to impulsive functional differential equation with iterated deviating arguments in a Banach space. The results are obtained by using the theory of analytic
Pradeep Kumar +2 more
doaj
Extremal rate of convergence in continuous dynamics
Abstract This paper deals with semigroups of holomorphic self‐maps of the upper half‐plane that exhibit an extremal (i.e., the slowest possible) rate of convergence to their Denjoy–Wolff point. The main novelty lies in the parabolic case of zero hyperbolic step.
Francisco J. Cruz‐Zamorano +1 more
wiley +1 more source
Final Value Problems for Parabolic Differential Equations and Their Well-Posedness
This article concerns the basic understanding of parabolic final value problems, and a large class of such problems is proved to be well posed. The clarification is obtained via explicit Hilbert spaces that characterise the possible data, giving ...
Ann-Eva Christensen, Jon Johnsen
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
Matrix transformations and generators of analytic semigroups
We establish a relation between the notion of an operator of an analytic semigroup and matrix transformations mapping from a set of sequences into , where is either of the sets , , or . We get extensions of some results given by Labbas and de Malafosse
Medeghri Ahmed, de Malafosse Bruno
doaj
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
Analytic semigroups generated by an operator matrix in L^2(Omega) X L^2(Omega)
This article concerns the generation of analytic semigroups by an operator matrix in the space $L^2(Omega)imes L^2(Omega)$. We assume that one of the diagonal elements is strongly elliptic and the other is weakly elliptic, while the sum of the non ...
Salah Badraoui
doaj
Spreading Speed for a Vector‐Borne Disease System on Non‐Coincident Straight Infinite Cylinders
ABSTRACT Vector‐borne diseases remain an increasing global public health concern. In this work, we investigate the spreading speed of vector‐borne disease via a four‐component reaction–diffusion system posed on non‐coincident straight infinite cylinders, which stands for an unconventional spatial configuration.
Arnaud Ducrot +2 more
wiley +1 more source
Oppenheim–Schur inequalities for causal products
Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
wiley +1 more source

