Sentence examples for absorption term from inspiring English sources

When (lambda=0), the system (1.1) without absorption term has been considered by many authors.

An interesting problem is whether the absorption term can change the critical extinction exponent.

However, when the absorption term is nonlinear, i.e. when r ≠ 1, the problem is open.

Furthermore, we also obtain a prior estimate of the absorption term (u^{p}) by analyzing the associated approximating problems.

For example, Benachour et al. [13] considered the semilinear heat equation with absorption term, u t = Δ u − λ | ∇ u | r, x ∈ Ω, t > 0, (1.5).

However, when the absorption term is suitably weak, whether Problem (1.1) admits non-extinction solutions or not is not answered in [13].

Wang et al. [11] studied a reaction-diffusion system with nonlinear absorption terms and boundary flux.

we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms,,.

Because of the singular nonlinearity inner absorption terms of (1.1), the so-called finite-time quenching may occur for the model.

The extinction and decay estimates for solutions to the nonlocal fast diffusion equations with nonzero coefficients and strong absorption terms, like equation (1), are still being investigated.

We consider the initial Dirichlet boundary value problem for a class of porous medium equations with nonlocal source and strong absorption terms (1).