WebS. Schochet, Fast singular limits of hyperbolic PDEs, J. Differential Equations, 114 (1994), pp. 476--512. Google Scholar 32. S. Schochet, The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit, Comm. Math. Phys., 104 (1986), pp. 49--75. Google Scholar 33. WebDec 13, 2024 · Based on previous global existence results, we further study the low Mach number limit of the system. By constructing the uniform estimates of the solutions in the well-prepared initial data case, we are able to prove the global convergence of the solutions in the framework of small solutions. ... S. Schochet, Fast singular limits ...
Hyperbolic and elliptic equations - Aerostudents
WebThis paper is organized as follows : First, we recall the general theory of singular limits of quasi-linear hyperbolic system with a large parameter. In the third section, we show how this general framework can be used to analyze reduced MHD models. Finally, we conclude by some remarks on possible extensions of the present work. WebApr 29, 2024 · We say a PDE is elliptic, hyperbolic or parabolic if B2 − AC = 0, parabolic B2 − AC > 0, hyperbolic B2 − AC < 0, elliptic Note that if A, B, C, D, E, F depend on x or y, … meta earth service twitter
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WebJun 22, 2016 · The resulting scheme is stable under a CFL condition driven by the (slow) material waves and not by the (fast) acoustic waves and so verifies the all regime … Web[KM] S. Klainerman, A. Majda — Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids, Comm. Pure Appl. Math.34, 4 (1981), 481-524. ... [Se] S. Schochet — Fast singular limits of hyperbolic PDEs, J. Differential Equations114, 2 (1994), 476-512. WebThe estimates of highest-order spatial derivatives of fast variables are subtle and crucial for the uniform bounds of solutions. The incompressible limit is shown by applying the … metaearthex 取引所