Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem
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DOI: 10.1016/j.aim.2022.108278
Abstract: We exhibit a new decomposition of the nonlinearity for the Muskat equation and use it to commute Fourier multipliers with the equation. This allows to study solutions with critical regularity. As a corollary, we obtain… read more here.
Keywords: critical cauchy; equation; applications critical; muskat equation ... See more keywords
Electromagnetic banana kinetic equation and its applications in tokamaks
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DOI: 10.1063/1.5021473
Abstract: A banana kinetic equation in tokamaks that includes effects of the finite banana width is derived for the electromagnetic waves with frequencies lower than the gyro-frequency and the bounce frequency of the trapped particles. The… read more here.
Keywords: equation applications; electromagnetic banana; kinetic equation; banana kinetic ... See more keywords