On the curvature blow-up phenomena for the Fokas–Qiao–Xia–Li equation
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DOI: 10.1016/j.jmaa.2017.01.080
Abstract: Abstract We study the blow-up phenomena of the strong solutions for the Fokas–Qiao–Xia–Li (FQXL) equation with quadratic and cubic nonlinearities, which include the celebrated Camassa–Holm equation and the Fokas–Olver–Rosenau–Qiao (FORQ) equation as its special case.… read more here.
Keywords: qiao xia; fokas qiao; curvature blow; blow phenomena ... See more keywords
Blow-up phenomena for p-Laplacian parabolic problems with Neumann boundary conditions
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DOI: 10.1186/s13661-017-0881-y
Abstract: AbstractIn this paper, we deal with the blow-up and global solutions of the following p-Laplacian parabolic problems with Neumann boundary conditions: {(g(u))t=∇⋅(|∇u|p−2∇u)+k(t)f(u)in Ω×(0,T),∂u∂n=0on ∂Ω×(0,T),u(x,0)=u0(x)≥0in Ω‾,$$\textstyle\begin{cases} (g(u) )_{t} =\nabla\cdot ( {|\nabla u|^{p-2}}\nabla u )+k(t)f(u) & \mbox{in } \Omega\times(0,T), \\… read more here.
Keywords: problems neumann; boundary conditions; neumann boundary; blow phenomena ... See more keywords
Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level
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DOI: 10.1186/s13661-018-1079-7
Abstract: AbstractIn this paper, we continue to study the initial boundary value problem of the quasi-linear pseudo-parabolic equation ut−△ut−△u−div(|∇u|2q∇u)=up$$ u_{t}-\triangle u_{t}-\triangle u-\operatorname{div}\bigl(| \nabla u|^{2q}\nabla u\bigr)=u^{p} $$ which was studied by Peng et al. (Appl. Math. Lett.… read more here.
Keywords: parabolic equation; pseudo parabolic; energy; linear pseudo ... See more keywords