Multidimensional Scalar Conservation Laws with Non-Aligned Discontinuous Flux and Singularity of Solutions

Key Points

• The solutions generate a singular measure along the discontinuity surface, highlighting unique behavior.
• A family of solutions is examined under vanishing viscosity approximation, resulting in singularity.
• The approach utilizes multidimensional analysis of scalar conservation laws with discontinuous flux fields.
• This work points to the implications of singular measures in understanding conservation laws dynamics.