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Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source

100%

Zhou J.

Annales Polonici Mathematici

2016

tom 116

nr 3

197-216

This paper deals with the blow-up properties of the non-Newtonian polytropic filtration equation $u_t - div(|∇u^m|^{p-2} ∇u^m) = f(u)$ with homogeneous Dirichlet boundary conditions. The blow-up conditions, upper and lower bounds of the blow-up time, and the blow-up rate are established by using the energy method and differential inequality techniques.

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On the second largest eigenvalue of a mixed graph

51%

Zhou J., Fan Y.-Z., Wang Y.

Discussiones Mathematicae Graph Theory

2007

tom 27

nr 2

373-384

Let G be a mixed graph. We discuss the relation between the second largest eigenvalue λ₂(G) and the second largest degree d₂(G), and present a sufficient condition for λ₂(G) ≥ d₂(G).

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Discussiones Mathematicae Graph Theory

2 Zhou J.

1 Fan Y.-Z.

1 Wang Y.

1 2016

1 2007

Wyniki wyszukiwania

Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source

On the second largest eigenvalue of a mixed graph