We investigate a class of zero-flux chemotaxis-growth systems featuring nonlinear local and non local reaction terms, as well as a gradient-dependent damping, given by {u(t) = Delta u - chi del .(u del upsilon) + au(rho) - b(integral(Omega) u(beta))(delta) - c|del u|(gamma), in Omega x (0, T-max) tau upsilon(t) = Delta upsilon - upsilon + u, in Omega x (0, T-max), where chi, a, b, c > 0, rho, beta, delta , gamma >= 1 and tau is an element of (0,1). Assuming that Omega subset Omega subset of R-n (n >= 1); is a bounded domain with smooth boundary and that the initial data (u(0), tau upsilon(0)) are sufficiently regular, we prove the existence of global (i.e., T-max = infinity), uniformly bounded classical solutions under suitable structural conditions on the exponents defining the reaction term and the dimension n. A central insight of our analysis is that, in contrast to classical scenarios where rho <= beta typically ensures automatic control of the total mass integral(Omega) u, the regime rho > beta makes that the structure of the source term alone does not suffice to guarantee mass boundedness. Accordingly, the global boundedness of solutions is achieved via a two-tiered strategy: first, we identify a parameter regime in which the total mass remains uniformly bounded in time; second, under further constraints on the model parameters, we establish uniform-in-time boundedness of classical solutions in stronger norms, specifically in L-infinity(Omega). These results offer further insight into the interplay between chemotactic aggregation, gradient-driven dissipation, and nonlocal reaction effects, contributing to the analysis of blow-up prevention in structured chemotaxis models.
PurposeThe purpose of this study is to investigate how Team Entrepreneurial Passion (TEP), manifested in three different domains (i.e. for inventing, founding, and developing), affects subjective well-being, and to explore whether this relationship is mediated by team performance.Design/methodology/approachWe analyzed cross-sectional survey data from 106 respondents representing 42 entrepreneurial teams enrolled in European incubation and acceleration programs, using Partial Least Squares - Structural Equation Modeling and PROCESS mediation analysis.FindingsThe results show that TEP does not have a direct effect on team members' subjective well-being. However, TEP for inventing influences team performance. Moreover, consistent with our mediation hypotheses, the effects of all three TEP's domains on subjective well-being operate indirectly through team performance.Originality/valueBesides providing empirical insights on the role of TEP and well-being, this study highlights important dynamics on the critical role that team performance plays in this relationship, and extends previous studies by clarifying the nuances of the connection between passion at the team level and well-being.
In this work, we address the important problem of the homogenization and the dimensional reduction for nonlinear plates including biological growth effect when the plate thickness and the size of the heterogeneities are not of the same order of magnitude. The theory when the thickness of the plate and the in-plane heterogeneities are of the same order of magnitude has been previously addressed by the first author. In our reduction method, the thickness of the plate is small but does not go to zero; however, the homogenization method adopted is a standard asymptotic analysis since the size of the heterogenities goes to zero. For the sake of simplicity, the distribution of material heterogeneities is assumed to be repetitive periodic. For the case when the period is very much smaller than the thickness of the plate, we first have to consider the limit when the size of the heterogeneities goes to zero. We obtain a multilayered plate with homogeneous layers, for which we propose a two-dimensional plate model. Then, we consider the case when the period is very much bigger than the thickness of the plate. We first have to consider homogenization in the plane parallel to the mid-plane of the plate. This method is only meaningful when the geometry of the heterogeneities does not depend on the thickness direction of the plate. Then, we can obtain a plate model from multilayered plate in which each layer is homogeneous. Possible applications for future numerical works are given through work references and photographs.
Motor imagery refers to the conscious simulation of movements of one’s own body without performing the corresponding action. This higher-order cognitive process allows individuals, while remaining physically stationary, to have the sensation of moving through the processing of an internal representation of body position and movement, which may be accompanied by an internal visual image of oneself performing the action. From an educational viewpoint, motor imagery can facilitate the learning of school subjects that require coordination and fine motor skills, such as physical education, writing, and drawing. The present study aimed to validate the Italian version of the MIQ-C for the self-assessment of motor imagery in primary school. A sample of 176 Italian pupils (females = 49.4
The reaction of the aryllithium derivative 2,6-[P(O)(O-i-Pr)(2)](2)-4-t-Bu-C6H2Li with iodine chloride, ICl, and elemental bromine, Br-2, respectively, gave the aryl halides 2,6-[P(O)(O-i-Pr)(2)](2)-4-t-Bu-C6H2X (1, X = I; 2, X = Br, respectively). The aryl iodide 1 was characterized by H-1, C-13, P-31 NMR, and IR spectroscopy, and both 1 and the water solvate 2 center dot H2O by single-crystal X-ray diffraction analysis. The structure of 1 in the solid state revealed weak inter- and intramolecular P=O center dot center dot center dot I-Ar electrostatic halogen bonding (HaB) interactions, resulting in 1 being a dimer in the solid state. In solution, however, it is a monomer. For the sake of comparison, the solid-state structure of the aryl bromide derivative 2,6[P(O)(O-i-Pr)(2)](2)-4-t-Bu-C6H2Br center dot H2O (2 center dot H2O) is also reported, revealing a polymeric 2D structure as a result of P=O center dot center dot center dot H-O-H center dot center dot center dot O=P hydrogen bonds (HBs) and weak intermolecular P(i-Pr)O center dot center dot center dot Br=Ar HaB interactions. Natural bonding orbital (NBO) and quantum theory of atoms in molecule (QTAIM)/density functional theory (DFT) calculations helped elucidating the nature of the interactions.
