Nonlinear Stability of Stationary Plasmas---An Extension of the Energy-Casimir Method
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Publication:4237266
DOI10.1137/S0036139997329069zbMath1050.35118MaRDI QIDQ4237266
Jesenko Vukadinović, Peter Braasch, Gerhard Rein
Publication date: 31 March 1999
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Stability in context of PDEs (35B35) Statistical mechanics of plasmas (82D10) Partial differential equations of mathematical physics and other areas of application (35Q99) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)
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Linear stability analysis of a hot plasma in a solid torus ⋮ Stationary solutions of Vlasov-Poisson equations with cylindrical symmetries ⋮ Lieb--Thirring type inequalities and Gagliardo--Nirenberg inequalities for systems ⋮ Global Stability and Local Bifurcations in a Two-Fluid Model for Tokamak Plasma ⋮ On the two and one-half dimensional Vlasov-Poisson system with an external magnetic field: global well-posedness and stability of confined steady states ⋮ Formal stability in Hamiltonian fluid models for plasmas
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