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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2representative citing papers
Constructs multiple weak solutions to a cross-diffusion-advection system on the line, proving non-uniqueness by exhibiting both segregated and mixing behaviors from complementary half-line supports.
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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.
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Non-uniqueness of weak solutions to cross-diffusion systems with advection
Constructs multiple weak solutions to a cross-diffusion-advection system on the line, proving non-uniqueness by exhibiting both segregated and mixing behaviors from complementary half-line supports.