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- W3088793039 abstract "We consider the drift-diffusion equation $u_t-epsilonDelta u + nabla cdot(unabla K^*u)=0$ in the whole space with global-in-time solutions bounded in all Sobolev spaces; for simplicity, we restrict ourselves to the model case $K(x)=-|x|$. We quantify the mass concentration phenomenon, a genuinely nonlinear effect, for radially symmetric solutions of this equation for small diffusivity $epsilon$ studied in our previous paper [3], obtaining optimal sharp upper and lower bounds for Sobolev norms." @default.
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- W3088793039 date "2020-09-25" @default.
- W3088793039 modified "2023-09-30" @default.
- W3088793039 title "Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation" @default.
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