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Study of a logistic equation with local and non-local reaction terms
(Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2016-06)
In this work we examine a logistic equation with local and nonlocal reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive ...
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Convergence and Approximation of Invariant Measures for 2 Neural Field Lattice Models under Noise Perturbation
(Society for Industrial and Applied Mathematics, 2023-05-09)
This paper is mainly concerned with limiting behaviors of invariant measures for neural field latticemodels in a random environment. First of all, we consider the convergence relation of invariantmeasures ...
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Pullback attractors of nonautonomous and stochastic multivalued dynamical systems
(2003)
In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence ...
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On the stochastic threshold of the COVID-19 epidemic model incorporating jump perturbations
(Elsevier, 2023-10-05)
This work delves into the intricate realm of epidemic modeling under the influence of unpredictable surroundings. By harnessing the power of white noise and Lévy noise, we construct a robust framework to capture the ...
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Global in time solutions for the Poiseuille flow of Oldroyd type in 3D domains
(Springer-Verlag, 2001-12)
A Poiseuille flow in a 3D cylindrical domain is considered for a non-newtonian fluid of Oldroyd type. We prove existence (and uniqueness) of a global (in time) weak solution. Moreover, this weak solution is an strong ...
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Controllability results for cascade systems of m coupled parabolic PDEs by one control force
(European Mathematical Society, 2010)
In this paper we will analyze the controllability properties of a linear coupled parabolic system of m equations when a unique distributed control is exerted on the system. We will see that, when a cascade system is ...
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A streamline derivative POD-ROM for advection-diffusion-reaction equations
(Proquest, 2018-10-15)
We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed ...
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STABILITY ANALYSIS OF A DELAY DIFFERENTIAL KALDOR’S MODEL WITH GOVERNMENT POLICIES
(Mathematica Scandinavica [Independent Journal], 2020-03-29)
This paper is devoted to analyze the stability of the economy according to an extended version of Kaldor's economic growth model. We consider the role of the government and its simultaneous monetary and scal policies and ...
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A new relation between the condensation index of complex sequences and the null controllability of parabolic systems
(Elsevier, 2013-10)
In this note we present a new result that relates the condensation index of a sequence of complex numbers with the null controllability of parabolic systems. We show that a minimal time is required for controllability. The ...
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On the existence and uniqueness of solutions to stochastic three-dimensional Lagrangian averaged Navier-Stokes equations
(2006)
We prove existence and uniqueness of solutions for a stochastic version of the 3DLagrangian averaged Navier-Stokes (LANS-®) equation in a bounded domain. To this end, we previously prove some existence and uniqueness ...