An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples

We consider a Cauchy–Dirichlet problem for a semilinear advection–diffusion equation with a generalized advection term. Specific examples include an incision–diffusion landscape evolution model and a viscous Hamilton–Jacobi equation with an absorbing gradient term. We establish existence and uniquen...

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Bibliographic Details
Main Authors: Tetyana Malysheva, Luther W. White
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Examples and Counterexamples
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666657X24000259
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