Existence of space-time localized rogue wave solutions is shown for the semilinear wave equation with variable coefficients via variational methods under sufficient conditions on coefficients, operator, and p>1.
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2026 2verdicts
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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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Rogue waves for semilinear wave equations
Existence of space-time localized rogue wave solutions is shown for the semilinear wave equation with variable coefficients via variational methods under sufficient conditions on coefficients, operator, and p>1.
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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.