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math.AP 2

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2026 2

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On scalar nonlinear balance laws with singular nonlocal sources

math.AP · 2026-05-17 · unverdicted · novelty 7.0

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.

Wave breaking for perturbed Burgers equations

math.AP · 2026-05-16 · unverdicted · novelty 6.0

Establishes a simple explicit criterion for wave breaking in perturbed Burgers equations covering Fractional KdV, Whitham, and Fornberg-Whitham equations.

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Showing 2 of 2 citing papers after filters.

  • On scalar nonlinear balance laws with singular nonlocal sources math.AP · 2026-05-17 · unverdicted · none · ref 21

    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.

  • Wave breaking for perturbed Burgers equations math.AP · 2026-05-16 · unverdicted · none · ref 18

    Establishes a simple explicit criterion for wave breaking in perturbed Burgers equations covering Fractional KdV, Whitham, and Fornberg-Whitham equations.