Existence and uniqueness of weak entropy solutions for nonlocal nonlinear scalar conservation laws is proven on short time horizons via fixed-point methods, extending to any finite horizon under additional assumptions.
Efficient implementation of essentially non-oscillatory shock-capturing schemes
2 Pith papers cite this work. Polarity classification is still indexing.
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Adaptive high-order and low-order dissipative fluxes augment central-difference schemes to enforce scalar boundedness in multi-component turbulent flows with minimal added dissipation.
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Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods
Existence and uniqueness of weak entropy solutions for nonlocal nonlinear scalar conservation laws is proven on short time horizons via fixed-point methods, extending to any finite horizon under additional assumptions.
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Formulations for scalar boundedness in simulations of turbulent compressible multi-component flows using high-order finite-difference methods
Adaptive high-order and low-order dissipative fluxes augment central-difference schemes to enforce scalar boundedness in multi-component turbulent flows with minimal added dissipation.