Abstract
Global in time weak solutions to the α-model regularization for the three dimensional Euler-Poisson equations are considered in this paper. We prove the existence of global weak solutions to α-model regularization for the three dimension compressible Euler-Poisson equations by using the Fadeo-Galerkin method and the compactness arguments on the condition that the adiabatic constant satisfies \(\gamma>{4 \over 3}\).
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This work was supported by National Science Foundation of China (11901020), Beijing Natural Science Foundation (1204026), and the Science and Technology Project of Beijing Municipal Commission of Education China (KM202010005027).
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Ren, Y., Guo, B. & Wang, S. Global Weak Solutions to the α-Model Regularization for 3D Compressible Euler-Poisson Equations. Acta Math Sci 41, 679–702 (2021). https://doi.org/10.1007/s10473-021-0303-1
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DOI: https://doi.org/10.1007/s10473-021-0303-1