The authors establish pathwise non-uniqueness for stochastic incompressible Euler equations with a passive tracer in dimensions d >= 2 by constructing infinitely many global weak solutions to equivalent random PDEs using the Baire category method, extending prior deterministic results to arbitrary 0
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A neural network dynamics emulator trained on data yields stability eigenmodes and resolvent modes via automatic differentiation of its Jacobian, enabling equation-free analysis of nonlinear systems.
Dispersive shock waves emerge from piecewise smooth initial data in periodic-potential NLS systems, reduced by tight-binding to discrete NLS Riemann problems whose non-convex hydrodynamics are analyzed via Whitham modulation theory.
Phantom scalar-Gauss-Bonnet coupling with bulk viscosity produces a stable non-singular bounce cosmology that fits Pantheon+ supernova data and places derived inflation observables inside Planck 68% CL contours.
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Non-uniqueness for the stochastic incompressible Euler equations with a passive tracer
The authors establish pathwise non-uniqueness for stochastic incompressible Euler equations with a passive tracer in dimensions d >= 2 by constructing infinitely many global weak solutions to equivalent random PDEs using the Baire category method, extending prior deterministic results to arbitrary 0
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A neural operator framework for data-driven discovery of stability and receptivity in physical systems
A neural network dynamics emulator trained on data yields stability eigenmodes and resolvent modes via automatic differentiation of its Jacobian, enabling equation-free analysis of nonlinear systems.
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Dispersive shock waves in periodic lattices
Dispersive shock waves emerge from piecewise smooth initial data in periodic-potential NLS systems, reduced by tight-binding to discrete NLS Riemann problems whose non-convex hydrodynamics are analyzed via Whitham modulation theory.
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Non-Singular Bouncing cosmology from Phantom Scalar-Gauss-Bonnet Coupling: Reconstruction with Observational Insights
Phantom scalar-Gauss-Bonnet coupling with bulk viscosity produces a stable non-singular bounce cosmology that fits Pantheon+ supernova data and places derived inflation observables inside Planck 68% CL contours.
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