Short-time well-posedness established for two-phase Muskat problem with surface tension in log-critical regularity without RT condition, via new Schauder estimates for transmission problems in moving domains.
author Galeati, L
5 Pith papers cite this work, alongside 6 external citations. Polarity classification is still indexing.
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UNVERDICTED 5representative citing papers
Applies value-of-information decision analysis to quantify benefits of strain-based SHM versus traditional inspections for corrosion-induced thickness loss in ship hulls.
Derives stochastic compressible Navier-Stokes equations via an extended stochastic Reynolds transport theorem, recovers incompressible forms under Boussinesq approximation, and demonstrates in LES that stochastic transport reproduces penetrative convection under temperature-driven free convection.
Proves C^{1,1} regularity for a degenerate fully nonlinear equation on Hermitian manifolds with balanced metrics, yielding unique C^{1,1} solutions to the Donaldson equation.
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.
citing papers explorer
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Schauder-type Estimates and Log-Critical Well-posedness for the Two-Phase Muskat Problem with Surface Tension
Short-time well-posedness established for two-phase Muskat problem with surface tension in log-critical regularity without RT condition, via new Schauder estimates for transmission problems in moving domains.
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Value of Information-based assessment of strain-based thickness loss monitoring in ship hull structures
Applies value-of-information decision analysis to quantify benefits of strain-based SHM versus traditional inspections for corrosion-induced thickness loss in ship hulls.
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Stochastic compressible Navier-Stokes equations under location uncertainty and their approximations for ocean modelling
Derives stochastic compressible Navier-Stokes equations via an extended stochastic Reynolds transport theorem, recovers incompressible forms under Boussinesq approximation, and demonstrates in LES that stochastic transport reproduces penetrative convection under temperature-driven free convection.
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Regularity of a Geodesic equation in the space of mixed Volume Forms on Hermitian Manifolds
Proves C^{1,1} regularity for a degenerate fully nonlinear equation on Hermitian manifolds with balanced metrics, yielding unique C^{1,1} solutions to the Donaldson equation.
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Smoothing of operator semigroups under relatively bounded perturbations
Stability of semigroup smoothing under relatively bounded perturbations yields spectral and eventually positive perturbation theorems for elliptic PDEs.