Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
Sobolev spaces and functions of bounded variation
2 Pith papers cite this work. Polarity classification is still indexing.
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A pseudospectral multishape method is developed to accurately approximate singular convolution operators in the nonlocal Cahn-Hilliard equation, enabling efficient high-resolution phase separation simulations.
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Decreasing Weyl's energy by connected sums with locally conformally flat manifolds
Under stated conditions, the Weyl energy on a Bach-flat 4-manifold decreases after connected sum with a positive-Yamabe locally conformally flat manifold.
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Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
A pseudospectral multishape method is developed to accurately approximate singular convolution operators in the nonlocal Cahn-Hilliard equation, enabling efficient high-resolution phase separation simulations.