3 problems
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Conjecture that the viscosity assumption is not necessary
Viscosity-assumption conjecture. The assumption
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Califano–Chiuderi conjecture on resistivity-independent energy dissipation in two-dimensional MHD
Consider the two-dimensional magnetic hydrodynamical (MHD) system, with energy understood in the usual physical sense and with ohmic resistivity as the magnetic diffusivity paramet…
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Instability and nongenericity of bounded-variation energy profiles for rough Euler solutions
Let be a solution of the incompressible Euler equations with lesser regularity than the class , and let denote its energy profile. An ene…