Global existence of entropy weak solutions and partial uniqueness are established for scalar balance laws with singular nonlocal sources, plus an Oleinik-type estimate and a local smoothness/wave-breaking criterion.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Establishes a simple explicit criterion for wave breaking in perturbed Burgers equations covering Fractional KdV, Whitham, and Fornberg-Whitham equations.
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On scalar nonlinear balance laws with singular nonlocal sources
Global existence of entropy weak solutions and partial uniqueness are established for scalar balance laws with singular nonlocal sources, plus an Oleinik-type estimate and a local smoothness/wave-breaking criterion.
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Wave breaking for perturbed Burgers equations
Establishes a simple explicit criterion for wave breaking in perturbed Burgers equations covering Fractional KdV, Whitham, and Fornberg-Whitham equations.