This work shows existence and uniqueness of solution for convection-diffusion equations, indicating conservation of mass and convergence to initial data.
In this work, we study convection–diffusion equations in the cases of bounded drifts and drifts induced by the gradient of a potential. We define a new notion of solution and prove its existence and uniqueness. Furthermore, we show the conservation of mass, the convergence to the initial data, and the strong maximum principle.
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Alireza Ataei (2026) studied this question.
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