3 problems
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Charney et al.'s atmospheric temperature observability conjecture
In a model of atmospheric dynamics, suppose that the atmospheric temperature field is observed continuously in time. Charney et al.'s observability conjecture. Knowledge of the con…
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Maslov's conjecture on square-root singular solutions and mesoscale vortices
The shallow water equations are quasilinear hyperbolic equations, and their singular solutions may include point singularities of the type of the square root of a quadratic form. M…
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Charney's temperature-only atmospheric state reconstruction conjecture
Charney's conjecture. Temperature measurements alone should be sufficient to reconstruct the whole state of the atmosphere.