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- W2047830825 abstract "We investigate the large time behavior of solutions of the convection-diffusion equationut−div(a(x)∇u)=d·∇(|u|q−1u)d∈RN,in(0,∞)×RNwith integrable initial data u0(x). We take a(x)=1+b(x)>0 with b smooth and decaying to zero fast enough as x→∞. When q>1+1N, it is known that the solutions behave, in a first approximation, like the solutions of the head equation taking the same initial data as t→∞. We show here the influence of the nonlinear term and the variable diffusion in the large time behavior by obtaining the second term in the asymptotic development of solutions as t→∞." @default.
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- W2047830825 date "2001-08-01" @default.
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- W2047830825 title "Asymptotic profiles for convection–diffusion equations with variable diffusion" @default.
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- W2047830825 doi "https://doi.org/10.1016/s0362-546x(99)00350-8" @default.
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