differential-equations / Kinetic PDE

Equilibria of the Vlasov-Maxwell-Landau System

Under smoothness, positivity, decay and score assumptions, are all steady solutions of the Coulomb Vlasov-Maxwell-Landau system on $\mathbb{T}^3 \times \mathbb{R}^3$ necessarily spatially uniform Maxwellians?

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differential-equationsMar 16, 2026Significance 4/100Registry: lean verified

Equilibria of the Vlasov-Maxwell-Landau System

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Under smoothness, positivity, decay and score assumptions, are all steady solutions of the Coulomb Vlasov-Maxwell-Landau system on $\mathbb{T}^3 \times \mathbb{R}^3$ necessarily spatially uniform Maxwellians?

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Under smoothness, positivity, decay and score assumptions, are all steady solutions of the Coulomb Vlasov-Maxwell-Landau system on $\mathbb{T}^3 \times \mathbb{R}^3$ necessarily spatially uniform Maxwellians?

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Equilibria of the Vlasov-Maxwell-Landau System — Mathematical Frontier Network