MathDB3 problems
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Absence of finite-time blow-up for the granular kinetic equation when the interaction exponent exceeds two
Consider the granular kinetic equation with interaction exponent and a solution with the initial conditions studied in the paper. Absence-of-blow-up conjecture. The solu…
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Li's conjecture on particle clusters in gas–solid-particle flow systems
In a gas/solid-particle flow system, particle clusters are mesoscale groups of particles that move collectively, while the gas flows through layers of particles. Li's conjecture. P…
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The conjecture on slow upward migration of isolated large particles
The model describes particle-size segregation in granular flow, with the sample volume approaching its final value exponentially in time. Slow-migration conjecture. Isolated large…