The subject of blow-up in a finite time, or at least very rapid growth, of a solution to a partial
differential equation has been an area of intense re search activity in mathematics. Some …

In this paper, we study the global existence and the global nonexistence of doubly nonlinear
degenerate parabolic systems with nonlinear boundary conditions. We first prove a local …

This article deals with the global solutions and blow-up problems for the convective porous
medium equationut=(um) xx+ (μ/n)(un) x, x∈(0, 1), t> 0, with the nonlinear boundary …

In this paper, we establish the critical global existence exponent and the critical Fujita
exponent for the nonlinear diffusion equation [Formula: see text], in R+×(0,+∞), subject to a …

This paper discusses the global existence and quenching of the solution to the Newton
filtration equation with the nonlinear boundary condition. The authors also discuss the profile …

Under the influence of a sufficiently “weak” nonlinear source term, it is by now well known
that a degenerate diffusion equation is globally solvable. A similar result is known when the …

This article deals with a nonlinear diffusion equation with inner absorption ut=(logσ (1+ u)
ux) x− λ (1+ u) log p (1+ u), in ℝ+×(0,+∞), subject to a logarithmic boundary flux− logσ (1+ u) …

The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary
condition - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …