Article ID Journal Published Year Pages File Type
842189 Nonlinear Analysis: Theory, Methods & Applications 2009 9 Pages PDF
Abstract
In this paper, we consider the local existence of solutions to the Cauchy problems for the following nonlinear evolution equations with mixed types {ψt=−(1−α)ψ−θx+αψxx,θt=−(1−α)θ+γψx+2ψθx+αθxx, with initial data (ψ,θ)(x,0)=(ψ0(x),θ0(x))→(ψ±,θ±),as x→±∞, where α and γ are positive constants satisfying α<1, γ<α(1−α). Through constructing an approximation solution sequence, we obtain the local existence by using the contraction mapping principle.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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