A new type of PDE for selective density-constrained crowd motion is obtained as the stiff limit of conservation laws, with existence of solutions proven via uniform BV estimates and compactness.
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Entropy solutions of scalar conservation laws are recovered as weak-star limits of nonlocal approximations with averaged fluxes via Hamilton-Jacobi stability.
Symbolic rational-function networks recover an admissible PDE from noiseless complete measurements and select the regularization-minimizing parameterization within the architecture.
A counterexample of a bounded divergence-free vector field demonstrates that the chain rule for divergence is not sufficient for renormalization of weak solutions to the continuity equation.
citing papers explorer
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A stiff limit of non-homogeneous conservation laws for crowd motion modeling
A new type of PDE for selective density-constrained crowd motion is obtained as the stiff limit of conservation laws, with existence of solutions proven via uniform BV estimates and compactness.
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Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws
Entropy solutions of scalar conservation laws are recovered as weak-star limits of nonlocal approximations with averaged fluxes via Hamilton-Jacobi stability.
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Symbolic recovery of PDEs from measurement data
Symbolic rational-function networks recover an admissible PDE from noiseless complete measurements and select the regularization-minimizing parameterization within the architecture.
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On chain rule and renormalization
A counterexample of a bounded divergence-free vector field demonstrates that the chain rule for divergence is not sufficient for renormalization of weak solutions to the continuity equation.