[PDF] Top 20 La noción republicana de ciudadanía y la diversidad cultural

... lead to cusp singularities in u 0 0 , namely, jump discontinuities in u 00 0 of infinite magnitude. In contrast, a jump discontinuity of finite magnitude in u 00 0 may occur if q = 1. As we will see in the coming ... See full document

... Here u denotes the temperature, d >  is the diffusion coefficient and the integral term represents the capacity of the material to keep memory of their past trace. From a mathe- matical point of view, it is expected ... See full document

... In this paper, we consider the initial boundary value problem for a fourth order nonlinear pseudo-parabolic equation with a nonlocal source. By using the concavity method, we establish a blow-up ... See full document

... a generalized model of MHD ...of blow-up/ non blow-up theory is of major importance for both theoretical and practical ...their solutions have generated extensive research and ... See full document

... time blow up for solutions starting in the unstable set is proved, but also under some appropriate assumptions on g and the initial data, a blow-up result with positive initial energy ... See full document

... global solutions were widely studied in [3, 14, ...the blow-up solutions, a sufficient condition for the existence of blow-up solutions was given by Hebey and Pausader in ... See full document

... the blow-up solutions of ...of blow-up ...of blow-up and global existence? What is the limiting behavior of blow-up ... See full document

... u(x, t) 2 − δ dx. Precisely, in section II we provide well-known properties in previous studies and fundamental lemmas for solutions of (1). In section III we exactly estimate behavior of solutions near ... See full document

... where p > 2, ω, μ > 0. The authors established the global existence theorem and proved that the global solution is uniformly bounded. They also constructed the finite time blow- up of solutions ... See full document

... whereafter we use [u], [t], and [x] to denote the dimensions of the variables u, t, and x, re- spectively. For the underlying physical PDEs () the time scale should be taken as [t] = T –t. Dimensional analysis, more ... See full document

... Ikehata, On global solutions and energy decay for the wave equations of the Kirchhoff type with nonlinear damping terms, J.. Messaoudi, Blow up in a nonlinearly damped wave equation, Mat[r] ... See full document

... weak solutions. Furthermore, we show that there are solutions under some conditions on initial data which blow up in finite time with non-positive initial energy as well as positive initial ... See full document

... the blow-up of the solution to the problem by virtue of an adapted concavity ...weak solutions as well as exponential and uniform decay rates of the solution energy are established by the use of an ... See full document

... of blow-up in lo- cal or nonlocal ...the solutions of the initial boundary value problem of nonlocal equation ...will blow up in finite time, since the comparison principle, which ... See full document

... of blow-up solutions to nonlinear Schrödinger ...of blow-up solutions to ...and blow-up, the dynamical properties of blow-up solutions, ... See full document

... dix of this paper). Therefore (1 ) has unique nontrivial solution in the set M. Let u be the solution from Theorem 4.1, that is, u is a solution to the integral equation (1 ). From Proposition 2.4, we have that u ... See full document

... These PDEs are respectively known as the Klein-Gordon (KG), Korteweg-de Vries (KDV), Benjamin-Ono (BO), Shr¨odinger (S) and the regularised long wave (RLW) equa- tions, where for the case of (BO), H is the Hilbert ... See full document

... diffusion-induced blow-up challenge an intuitive preconception that diffusion tends to ‘make things better’ and ‘smooth the ...scalar equation then the comparison principle for parabolic equations ... See full document

... the generalized Landau-Lifshitz equations at absence of Gilbert term ...Landau-Lifshitz equation without external magnetic field [4]. The soliton solutions to the Landau-Lifshitz equations with and ... See full document

... gave some blow-up criteria of smooth solutions. Recently, they proved non-uniqueness for weak solutions of (IPM) in []. For the dissipative system related (IPM), in [], the authors obtained ... See full document