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- W2039851851 abstract "The Cauchy problem for the Boussinesq equation in multidimensions is investigated. We prove the asymptotic behavior of the global solutions provided that the initial data are suitably small. Moreover, our global solutions can be approximated by the solutions to the corresponding linear equation as time tends to infinity when the dimension of space <svg style=vertical-align:-0.546pt;width:36.237499px; id=M1 height=11.6 version=1.1 viewBox=0 0 36.237499 11.6 width=36.237499 xmlns:xlink=http://www.w3.org/1999/xlink xmlns=http://www.w3.org/2000/svg> <g transform=matrix(.017,-0,0,-.017,.062,10.862)><path id=x1D45B d=M495 86q-46 -47 -87 -72.5t-63 -25.5q-43 0 -16 107l49 210q7 34 8 50.5t-3 21t-13 4.5q-35 0 -109.5 -72.5t-115.5 -140.5q-21 -75 -38 -159q-50 -10 -76 -21l-6 8l84 340q8 35 -4 35q-17 0 -67 -46l-15 26q44 44 85.5 70.5t64.5 26.5q35 0 10 -103l-24 -98h2
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- W2039851851 date "2013-01-01" @default.
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- W2039851851 title "Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions" @default.
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- W2039851851 doi "https://doi.org/10.1155/2013/154102" @default.
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