Global attractor for a quasilinear parabolic equation of mean curvature type

Mitsuhiro Nakao; Naimah Aris

Global attractor for a quasilinear parabolic equation of mean curvature type

Mitsuhiro Nakao^*, Naimah Aris

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove the existence and some properties of global attractor in L^q with q > N and q > 2 for the quasilinear parabolic equation u_t – div(a(∣ Vu ∣)Vu) + Uu + g(x, u) = f (x) in a bounded domain in R^N where U> 0 and σ(ν²) is a function like σ(ν²) = W1 + v². The problem in R^N is also considered.

Original language	English
Pages (from-to)	75-84
Number of pages	10
Journal	International Journal of Dynamical Systems and Differential Equations
Volume	1
Issue number	1
Publication status	Published - 2007
Externally published	Yes

Keywords

global attractor
mean curvature
nonlinear parabolic equation

ASJC Scopus subject areas

Engineering(all)
Discrete Mathematics and Combinatorics
Control and Optimization

Cite this

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abstract = "We prove the existence and some properties of global attractor in Lq with q > N and q > 2 for the quasilinear parabolic equation ut – div(a(∣ Vu ∣)Vu) + Uu + g(x, u) = f (x) in a bounded domain in RN where U> 0 and σ(ν2) is a function like σ(ν2) = W1 + v2. The problem in RN is also considered.",

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AU - Aris, Naimah

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N2 - We prove the existence and some properties of global attractor in Lq with q > N and q > 2 for the quasilinear parabolic equation ut – div(a(∣ Vu ∣)Vu) + Uu + g(x, u) = f (x) in a bounded domain in RN where U> 0 and σ(ν2) is a function like σ(ν2) = W1 + v2. The problem in RN is also considered.

AB - We prove the existence and some properties of global attractor in Lq with q > N and q > 2 for the quasilinear parabolic equation ut – div(a(∣ Vu ∣)Vu) + Uu + g(x, u) = f (x) in a bounded domain in RN where U> 0 and σ(ν2) is a function like σ(ν2) = W1 + v2. The problem in RN is also considered.

KW - global attractor

KW - mean curvature

KW - nonlinear parabolic equation

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Global attractor for a quasilinear parabolic equation of mean curvature type

Abstract

Keywords

ASJC Scopus subject areas

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