Optimal stability estimates and a new uniqueness result for advection-diffusion equations

نویسندگان

چکیده

This paper contains two main contributions. First, it provides optimal stability estimates for advection-diffusion equations in a setting which the velocity field is Sobolev regular spatial variable. estimate formulated with help of Kantorovich--Rubinstein distances logarithmic cost functions. Second, are extended to fields whose gradients singular integrals $L^1$ functions entailing new well-posedness result.

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ژورنال

عنوان ژورنال: Pure and applied analysis

سال: 2022

ISSN: ['2578-5893', '2578-5885']

DOI: https://doi.org/10.2140/paa.2022.4.571