1,720,963 research outputs found
On the pointwise continuous dependence of an approximate solution of a nonlinear heat conduction ill-posed problem
No full textA Note on the nonlinear pointwise stability fot the equation ut=∆ F(u(x, t)) in the exterior of a sphere
No full textOn the pointwise continuous dependence of an approximate solution of a nonlinear heat conduction ill-posed problem
No full textInstability of Vertical Constant Through Flows in Binary Mixtures in Porous Media with Large Pores
No full textA binary mixture saturating a horizontal porous layer, with large pores and uniformly heated from below, is considered. The instability of a vertical fluid motion (throughflow) when the layer is salted by one salt (either from above or from below) is analyzed. Ultimately boundedness of solutions is proved, via the existence of positively invariant and attractive sets (i.e. absorbing sets). The critical Rayleigh numbers at which steady or oscillatory instability occurs are recovered. Sufficient conditions guaranteeing that a secondary steady motion or a secondary oscillatory motion can be observed after the loss of stability are found. When the layer is salted from above, a condition guaranteeing the occurrence of “cold” instability is determined. Finally, the influence of the velocity module on the increasing/decreasing of the instability thresholds is investigated
On the nonlinear diffusion in the exterior of a sphere
No full textThe long time behaviour of the solutions of the equation u(t) = Delta F(u) in exterior domains is studied
Biomechanical analysis of the on-water rowing stroke [Analisi biomeccanica della voga nel cannottaggio
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Analysis of a model for waterborne diseases with Allee effect on bacteria
No full textA limitation of current modeling studies in waterborne diseases (one of the leading causes of death worldwide) is that the intrinsic dynamics of the pathogens is poorly addressed, leading to incomplete, and often, inadequate understanding of the pathogen evolution and its impact on disease transmission and spread. To overcome these limitations, in this paper, we consider an ODEs model with bacterial growth inducing Allee effect. We adopt an adequate functional response to significantly express the shape of indirect transmission. The existence and stability of biologically meaningful equilibria is investigated through a detailed discussion of both backward and Hopf bifurcations. The sensitivity analysis of the basic reproduction number is performed. Numerical simulations confirming the obtained results in two different scenarios are shown
Turing patterns in a reaction–diffusion system modeling hunting cooperation
No full textA reaction–diffusion system governing the prey–predator interaction with hunting cooperation is investigated. Definitive boundedness of solutions is proved via the existence of positive invariants and attractive sets. Linear stability of the coexistence equilibria is performed and conditions guaranteeing the occurrence of Turing instability are found. Numerical simulations on the obtained results are provided
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