2 problems
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Removability of the weak discontinuity in the constructed global solution
Weak-discontinuity removability conjecture. The weak discontinuity could be removed by some further development of the authors' construction method.
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Long-time porous-medium behavior conjecture for damped Euler equations
Consider the compressible Euler equations with damping, denoted by, and let the canonical boundary be characterized by the physical vacuum boundary condition. Long-time behavior co…