Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves unique strong global solutions for small data in a 3D viscoelastic Navier-Stokes-Biot system with Beavers-Joseph-Saffman conditions via spectral analysis, and establishes a Serrin-type blow-up criterion.
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An optimal local theory for reaction-diffusion equations driven by non-trace-class noise
Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
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Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis
Proves unique strong global solutions for small data in a 3D viscoelastic Navier-Stokes-Biot system with Beavers-Joseph-Saffman conditions via spectral analysis, and establishes a Serrin-type blow-up criterion.