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Showing 1 to 3 of 3 for “"Convex Integration"”.
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The Convex Integration Paradigm in Stochastic Fluid Dynamics
… dissertation investigates the pivotal role of convex integration in the analysis of stochastic partial differential equations in the realm of fluid dynamics, with particular emphasis on the incompressible Navier--Stokes equations and shear-thinning fluid flows. <br /><br /> The method of convex …
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Nonuniqueness of Laws on State and Path Space: Flow Selections and Superposition for Fokker-Planck-Kolmogorov Equations and Convex Integration for Stochastic Hypodissipative Navier-Stokes Equations
… previous parts, we apply the method of \textit{convex integration} to the incompressible fractional Navier--Stokes equations on the $3$D torus, with the exponent $\alpha$ of the fractional Laplacian in the range $0<\alpha < 1/2$, perturbed by an additive Brownian noise. Similar to comparable …
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Hitchin Functionals, h-Principles and Spectral Invariants
… unbounded above. By utilising the technique of convex integration, Chapter 7 then obtains sufficient conditions for a class of closed, stable forms to satisfy the relative $h$-principle, a result which subsumes all previously established $h$-principles for closed stable forms. Until now, 12 of …