3 problems
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Extension of the energy-stable dG approach to related isothermal diffuse-interface systems
The compressible Navier--Stokes--Allen--Cahn system admits an equivalent reformulation in which the nonlinear variational derivatives of the free energy belong to the discontinuous…
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Conjecture on vanishing diffusive time scale in the sharp-interface limit
Let the diffuse-interface thickness tend to zero in a binary-fluid flow model, and consider the associated diffusive time scale. Vanishing diffusive time-scale conjecture. In certa…
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The conjecture on dynamic terms and Marangoni effects from generalized surface stresses
The model assumes a spherical surface Cauchy stress tensor (the membrane model) and constant surface tension. The generalized-surface-stress conjecture. Relaxing these assumptions…