{'fraction_non_alphanumeric': 0.03529411764705882, 'fraction_numerical': 0.004705882352941176, 'mean_word_length': 4.835616438356165, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Large time periodic solution to the coupled chemotaxis‐Stokes model

In this paper, we deal with the time periodic problem for the coupled chemotaxis‐fluid model with logistic growth term. We prove the existence of large time periodic solution in spatial dimension N=3 . Furthermore, we also show that if the time periodic source g and the potential force ∇φ belong to Cα,α2(Ω¯×R) , the solution is also a classical solution.