Proves global well-posedness of linearized R13 equations with Onsager BCs via entropy inequality, LBB theorem for steady state, and Lumer-Phillips theorem for time-dependent case, covering Maxwell and non-Maxwell molecules.
Macroscopic Transport Equations for Rarefied Gas Flows
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Proves well-posedness of the linearized R13 moment model via 2-by-2 block structure in the LBB saddle-point framework together with new coercivity estimates for symmetric traceless tensor fields.
PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.
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Global well-posedness of the linearized R13 moment equations with Onsager boundary conditions
Proves global well-posedness of linearized R13 equations with Onsager BCs via entropy inequality, LBB theorem for steady state, and Lumer-Phillips theorem for time-dependent case, covering Maxwell and non-Maxwell molecules.
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Well-Posedness of the Linear Regularized 13-Moment Equations Using Tensor-Valued Korn Inequalities
Proves well-posedness of the linearized R13 moment model via 2-by-2 block structure in the LBB saddle-point framework together with new coercivity estimates for symmetric traceless tensor fields.
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Tail observability and fourth-order closure recovery in physics-informed neural networks for Bhatnagar-Gross-Krook normal shocks
PINN study of BGK shocks identifies anisotropic tail-weighted observability failure in fourth-order closure R_xx^cl and shows a shock-local correction reduces its relative error to 0.112 using DVM validation.