Global existence of weak solutions is established for 1D cross-diffusion systems with arbitrary advections via vanishing-viscosity limit and a three-entropy compensated-compactness argument that exploits oscillation correlation.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Global solutions to cross-diffusion systems with independent advections in one dimension
Global existence of weak solutions is established for 1D cross-diffusion systems with arbitrary advections via vanishing-viscosity limit and a three-entropy compensated-compactness argument that exploits oscillation correlation.