On the global regularity of subcritical EulerPoisson equations with pressure

By Eitan Tadmor, Dongming Wei. 2006

68 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/d5158f6e19eabb36aa429607dde19aceec193cec

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In Applied Mathematics

1. Young-Pil Choi
2. Eitan Tadmor
3. José Antonio Carrillo
4. Cédric Villani
5. Juan Luis V'azquez
6. Giuseppe Toscani
7. Jean Dolbeault
8. Adrien Blanchet

In Computational Mechanics

1. Eitan Tadmor
2. Young-Pil Choi
3. José Antonio Carrillo
4. Travis C. Fisher
5. Mark H. Carpenter
6. Alexander Kurganov
7. Praveen Chandrashekar
8. Alexander Lorz

Citations in the corpus

• Critical thresholds in 1D Euler equations with nonlocal forces (2014, background): “( u+ 2 √ Aγ γ−1 ρ (γ−1)/2 γ>1 u+ √ Alnρ γ= 1 . Let us denote material derivatives 8 = ∂t+λ∂xand ′ = ∂t+µ∂xalong two particle paths. We derive the dynamics of Rxand Sxusing the same procedure as in [20]: R8 x+ 1 +θ 2 R2 x+ 1−θ 2 RS = ∂ Z R ψ(x−y)(u(y,t) −u(x,t))ρ(y,t)dy, S′ x+ 1+θ 2 S2 x+ 1−θ 2 Rx”