Finite-time gradient blow-up is proven for conservation laws with source under weaker initial data conditions than Barlin (2023), with small compact support length promoting singularity formation.
Liu, Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations,J
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Gradient Catastrophe for Solutions to the Conservation Laws with Source Term
Finite-time gradient blow-up is proven for conservation laws with source under weaker initial data conditions than Barlin (2023), with small compact support length promoting singularity formation.