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Global existence of weak solutions to dissipative transport equations with nonlocal velocity. (arXiv:1609.04357v3 [math.AP] UPDATED)

来源于:arXiv
We consider 1D dissipative transport equations with nonlocal velocity field: \[ \theta_t+u\theta_x+\delta u_{x} \theta+\Lambda^{\gamma}\theta=0, \quad u=\mathcal{N}(\theta), \] where $\mathcal{N}$ is

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