Local existence with physical vacuum boundary condition to Euler equations with damping
By Chao-Jiang Xu, Tong Yang. 2005
48 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/03ab74c8b5149c5b3054e2408b30c37a29cc7466
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In Applied Mathematics
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- Existence and asymptotic behavior of C1 solutions to the multi-dimensional compressible Euler equations with damping (2007, background): “As the first step in this direction, Xu & Yang [16] proved that a local existence theorem on a perturbation of a planar wave solution for (1.”
- Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum (2012, background): “An existence theory for the small perturbation of a planar wave was developed in [43].”
- Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping (2014, methodology): “In [18], when the singularity near the vacuum is mild in the sense that c is smooth across the interface with 0 < α ≤ 1 for the sound speed c, a local existence theory was developed for the one-dimensional Euler equations with damping, based on the adaptation of the theory of symmetric hyperbolic sy”
- Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum (2009, background): “An existence theory for the small perturbation of a planar wave was developed in [18].”
- Well‐posedness for compressible Euler equations with physical vacuum singularity (2008, background): “We only mention a result in [18] for perturbation of a planar wave.”