2 problems
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Approximation-independence conjecture for Temple-class nonlinear hyperbolic systems
Approximation-independence conjecture. The set of admissible boundary values, and hence the boundary layer, should be independent of the approximation method for nonlinear systems…
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Diagonalizability conjecture for systems associated with second-order Hamiltonian operators
A second-order HHO defines a multiparametric family of systems of conservation laws. In the generic situation, the velocity matrix has double eigenvalues, so diagonalizability is e…