期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 532, 期 2, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127924
关键词
The inviscid Cattaneo-Christov; system; Local well-posedness; Global well-posedness; Critical Besov spaces
This paper studies the inviscid compressible Cattaneo-Christov system in one-dimensional space. The iterative method is used to establish the local well-posedness of this system for large data in critical Besov spaces based on the L2 framework. Moreover, the global existence of a strong solution can be proved when the initial perturbation around a constant state is sufficiently small, using the renormalized energy method.
This paper is devoted to studying the inviscid compressible Cattaneo-Christov system in one-dimensional space. The iterative method will be used to establish the local well-posedness of this system for large data in critical Besov spaces based on the L2 framework. Moreover, by using the renormalized energy method, one can prove the global existence of a strong solution when the initial perturbation around a constant state is sufficiently small.(c) 2023 Elsevier Inc. All rights reserved.
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