Local well-posedness of drift-diffusion equation with degeneracy
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Publication:6627028
DOI10.1016/j.jmaa.2024.128836MaRDI QIDQ6627028
Publication date: 29 October 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
degeneracylocal well-posednessfree boundaryporous media equationdrift-diffusion equationPatlak-Keller-Segel (PKS) model
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) A priori estimates in context of PDEs (35B45) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Moving boundary problems for PDEs (35R37) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
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