Abstract
By the vanishing viscosity approach, a class of non-strictly hyperbolic systems of conservation laws that contain the equations of geometrical optics as a prototype are studied. The existence, uniqueness and stability of solutions involving delta shock waves and generalized vacuum states are discussed completely.
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The authors are very grateful to the anonymous referee for his/her corrections and suggestions, which have improved the original manuscript greatly.
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Supported by the National Natural Science Foundation of China 11501488, the Scientific Research Foundation of Xinyang Normal University (No. 0201318) and Nan Hu Young Scholar Supporting Program of XYNU.
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Zhang, Y., Zhang, Y. Vanishing Viscosity Limit for Riemann Solutions to a Class of Non-Strictly Hyperbolic Systems. Acta Appl Math 155, 151–175 (2018). https://doi.org/10.1007/s10440-017-0149-7
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DOI: https://doi.org/10.1007/s10440-017-0149-7