Temperature-dependent developmental modeling of protophormia terraenovae (Diptera: Calliphoridae) and its application in PMI inference. [PDF]
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Blow up rate for semilinear heat equation with subcritical nonlinearity
Blow up rate for semilinear heat equation with subcritical nonlinearityopenaire
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Blow-up and blow-up rate for a reaction–diffusion model with multiple nonlinearities
Nonlinear Analysis: Theory, Methods & Applications, 2003Let \(\Omega\subset\mathbb R^n\) be a smoothly bounded domain, \(m,\alpha,\beta>0\). Condider the equation \((u^m)_t=\Delta u+u^\alpha\) in \(\Omega\times(0,T)\), complemented by the nonlinear boundary condition \(\partial u/\partial\nu=u^\beta\) and the initial condition \(u(x,0)=u_0(x)\), where \(u_0\) is a positive function satisfying the ...
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Blow-up rates for parabolic systems
ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1996Two weakly coupled systems of parabolic equations are considered. One is coupled in the equations and the other in the boundary conditions. For both of them blow-up in finite time may occur. Estimates of the blow-up rates (in \(t\)) are established for certain classes of initial functions.
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This paper deals with asymptotic behavior for blow‐up solutions to time‐weighted reaction–diffusion equations ut=Δu+eαtvp and vt=Δv+eβtuq, subject to homogeneous Dirichlet boundary. The time‐weighted blow‐up rates are defined and obtained by ways of the scaling or auxiliary‐function methods for all α, . Aiding by key inequalities between components of
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Blow-up, blow-up rate and decay of the solution of the weakly dissipative Camassa-Holm equation
Journal of Mathematical Physics, 2006In this paper, we mainly study several problems on the weakly dissipative periodic Camassa-Holm equation. At first, the local well-posedness of the equation is obtained by Kato’s theorem, a necessary and sufficient condition of the blow-up of the solution and some criteria guaranteeing the blow-up of the solution are established. Then, the blow-up rate
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