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- W2016002301 abstract "Following Coclite, Holden and Karlsen [G.M. Coclite, H. Holden and K.H. Karlsen, Well-posedness for a parabolic-elliptic system, Discrete Contin. Dyn. Syst. 13 (3) (2005) 659–682] and Tian and Fan [Lixin Tian, Jinling Fan, The attractor on viscosity Degasperis-Procesi equation, Nonlinear Analysis: Real World Applications, 2007], we study the dynamical behaviors of the parabolic–elliptic system ut+(f(t,x,u))x+g(t,x,u)+Px−εuxx=0 and −Pxx+P=h(t,x,u,ux)+k(t,x,u) with initial data u|t=0=u0. The existence of global solution to the parabolic–elliptic system in L2 under the periodic boundary condition is discussed. We also establish the existence of the global attractor of semi-group to solutions on the parabolic–elliptic system in H2." @default.
- W2016002301 created "2016-06-24" @default.
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- W2016002301 date "2009-05-01" @default.
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- W2016002301 title "The attractor of a parabolic–elliptic system" @default.
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- W2016002301 doi "https://doi.org/10.1016/j.na.2008.05.004" @default.
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