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Award ID contains: 2104775

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  1. ; (, Communications in Analysis and Mechanics)
    Free, publicly-accessible full text available January 1, 2026
  2. ; ; ; (, Discrete and Continuous Dynamical Systems)
    Free, publicly-accessible full text available January 1, 2026
  3. ; (, Communications in Mathematical Physics)
    Free, publicly-accessible full text available December 1, 2025
  4. ; (, Kinetic and Related Models)
    Full Text Available 
  5. ; ; ; (, Vietnam Journal of Mathematics)
    Full Text Available 
  6. ; ; (, Quarterly of Applied Mathematics)
    The relativistic Vlasov-Maxwell-Landau (r-VML) system and the relativistic Landau (r-LAN) equation are fundamental models that describe the dynamics of an electron gas. In this paper, we introduce a novel weighted energy method and establish the validity of the Hilbert expansion for the one-species r-VML system and r-LAN equation. As the Knudsen number shrinks to zero, we rigorously demonstrate the relativistic Euler-Maxwell limit and relativistic Euler limit, respectively. This successfully resolves the long-standing open problem regarding the hydrodynamic limits of Landau-type equations. 
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  7. ; (, AIP Publishing)
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  8. ; ; ; (, Nonlinearity)
    Abstract We show that solutions to the Ablowitz–Ladik system converge to solutions of the cubic nonlinear Schrödinger equation for merely L 2 initial data. Furthermore, we consider initial data for this lattice model that excites Fourier modes near both critical points of the discrete dispersion relation and demonstrate convergence to a decoupled system of nonlinear Schrödinger equations. 
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  9. ; (, Journal of Differential Equations)
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  10. ; (, SIAM Journal on Mathematical Analysis)
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