The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
We consider the elliptic–parabolic PDE system {ut=∇⋅(ϕ(u)∇u)−∇⋅(ψ(u)∇v),x∈Ω,t>0,0=Δv−M+u,x∈Ω,t>0, with nonnegative initial data u0 having mean value M, under homogeneous Neumann boundary conditions in a smooth bounded domain Ω⊂Rn. The nonlinearities ϕ and ψ are supposed to generalize the prototypes ϕ(u)=(u+1)−p,ψ(u)=u(u+1)q−1 with p≥0 and q∈R. Problems of this type arise as simplified models...
The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained for the degenerate and singular parabolic system ut−(xαux)x=∫0aum(x,t)vn(x,t)dx,vt−(xβvx)x=∫0avp(x,t)uq(x,t)dx,in (0,a)×(0,T), where T≤∞,a>0 are constants and m,n,p,q are positive real numbers. Furthermore, under certain...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.