Well-posedness via fixed point, mass preservation, gradient-flow energy structure, decay estimates, and singular limit to a fully parabolic system are established for local-nonlocal parabolic-elliptic models with Neumann conditions.
Some nonclassical trends in parabolic and parabolic-like evolutions
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Parabolic--Elliptic Dynamics with Local--Nonlocal Coupled Operators
Well-posedness via fixed point, mass preservation, gradient-flow energy structure, decay estimates, and singular limit to a fully parabolic system are established for local-nonlocal parabolic-elliptic models with Neumann conditions.