Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model

Su, Yunfei; Li, Zilai; Yao, Lihua

doi:10.1016/j.nonrwa.2022.103625

Nonlinear Analysis: Real World Applications

2022

DOI: 10.1016/j.nonrwa.2022.103625

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Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model

Yunfei Su

Zilai Li

Lihua Yao

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2024

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Cited by 3 publications

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Energy equality of weak solutions of the 2D reduced‐gravity two‐and‐a‐half layer system allowing vacuum

Ji,

Wu,

Gao

2024

Math Methods in App Sciences

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The energy conservation problem for the reduced‐gravity two‐and‐a‐half layer model remains a challenging open problem, with several recent contributions addressing various aspects of it. In this paper, we establish sufficient conditions on the regularity of weak solutions that guarantee energy conservation even in the presence of a vacuum. Our theorem corresponds to an improvement of some recent results on this problem and contains some well‐known results as a particular case.

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Energy equality of weak solutions of the 2D reduced‐gravity two‐and‐a‐half layer system allowing vacuum

Ji,

Wu,

Gao

2024

Math Methods in App Sciences

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Energy equalities for the 2D reduced‐gravity two‐and‐a‐half layer system

Zuo

Wang

2021

Math Methods in App Sciences

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Large time behavior of solutions to a reduced gravity two and a half layer model with damping

Yang,

Zhu

2024

DCDS-B

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Existence of global weak solutions to 2D reduced gravity two-and-a-half layer model

Cited by 3 publications

References 40 publications

Energy equality of weak solutions of the 2D reduced‐gravity two‐and‐a‐half layer system allowing vacuum

Energy equality of weak solutions of the 2D reduced‐gravity two‐and‐a‐half layer system allowing vacuum

Energy equalities for the 2D reduced‐gravity two‐and‐a‐half layer system

Large time behavior of solutions to a reduced gravity two and a half layer model with damping

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