(1) x 4.0 m/s x x=0 t=0 t=8.0 s 12 m/s x t=0 t v t v v-t x x=0 t x x=0 t=8.0 s x x =0 m (2) F k2 Q1, Q2 2 r F= Vt Vq I I= (1)

By using the Fourier transform, Green’s function and the weighted energy method, the authors in [24, 25] showed the global stability of critical traveling waves, which depends on

Rhoudaf; Existence results for Strongly nonlinear degenerated parabolic equations via strong convergence of truncations with L 1 data..

Abstract: The existence and uniqueness of local and global solutions for the Kirchhoff–Carrier nonlinear model for the vibrations of elastic strings in noncylindrical domains

If in the infinite dimensional case we have a family of holomorphic mappings which satisfies in some sense an approximate semigroup property (see Definition 1), and converges to

We consider some nonlinear second order scalar ODEs of the form x 00 + f (t, x) = 0, where f is periodic in the t–variable and show the existence of infinitely many periodic

We obtain a ‘stability estimate’ for strong solutions of the Navier–Stokes system, which is an L α -version, 1 < α < ∞ , of the estimate that Serrin [Se] used in

We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation u t u xx − ax, tfu, 0 < x < 1, t ∈ 0, T, with boundary conditions

Thus, Fujita’s result says that there are no global, nontrivial solutions of (1.3) whenever the blow up rate for y(t) is not smaller than the decay rate for w(x, t) while there are