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Journal Articles

Large-time behavior of weak solution to a Cauchy problem for the Swift-Hohenberg equation

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Li Ma, Yuhao Cong, Peicheng Zhu
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 051503 (2025)
https://doi.org/10.1063/5.0246287
Published: May 2025
View articletitled, Large-time behavior of weak solution to a Cauchy problem for the Swift-Hohenberg equation
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Journal Articles

Stability of the generalized compressible Oldroyd-B model

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Xiaoping Zhai, Yajuan Zhao
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 011512 (2025)
https://doi.org/10.1063/5.0226953
Published: January 2025
View articletitled, Stability of the generalized compressible Oldroyd-B model
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Journal Articles

“Co-properties” of the nonlinear semi-group on L∞ generated by a scalar conservation law with p–Laplacian viscosity

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Yechi Liu
Journal: Journal of Mathematical Physics
J. Math. Phys. 66, 011502 (2025)
https://doi.org/10.1063/5.0191287
Published: January 2025
View articletitled, “Co-properties” of the nonlinear semi-group on L∞ generated by a scalar conservation law with p–Laplacian viscosity
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Journal Articles

The globally exponential decay and inviscid limit of analytic solutions to the compressible Oldroyd-B model

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Xinghong Pan, Yuxuan Yang
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 121502 (2024)
https://doi.org/10.1063/5.0236696
Published: December 2024
View articletitled, The globally exponential decay and inviscid limit of analytic solutions to the compressible Oldroyd-B model
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Journal Articles

Global existence of non-Newtonian incompressible fluid in half space with nonhomogeneous initial-boundary data

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Tongkeun Chang, Bumja Jin
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 091505 (2024)
https://doi.org/10.1063/5.0194401
Published: September 2024
View articletitled, Global existence of non-Newtonian incompressible fluid in half space with nonhomogeneous initial-boundary data
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Journal Articles

Classical solvability to the free boundary problem for a foam drainage equation. I. From the top to the interface

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Atusi Tani, Marie Tani
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 081505 (2024)
https://doi.org/10.1063/5.0155449
Published: August 2024
View articletitled, Classical solvability to the free boundary problem for a foam drainage equation. I. From the top to the interface
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Journal Articles

Existence and uniqueness of compressible MHD solutions for non-Newtonian fluids

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Qiu Meng, Huifang Xing, Yuanyuan Zhao, Wucai Yang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 121504 (2023)
https://doi.org/10.1063/5.0153399
Published: December 2023
View articletitled, Existence and uniqueness of compressible MHD solutions for non-Newtonian fluids
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Journal Articles

Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids

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Tomás Caraballo, Alexandre N. Carvalho, Heraclio López-Lázaro
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 112701 (2023)
https://doi.org/10.1063/5.0150897
Published: November 2023
View articletitled, Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids
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Journal Articles

Global strong solutions for the multi-dimensional compressible viscoelastic flows with general pressure law

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Yu Liu, Song Meng, Jiayan Wu, Ting Zhang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 081506 (2023)
https://doi.org/10.1063/5.0158057
Published: August 2023
View articletitled, Global strong solutions for the multi-dimensional compressible viscoelastic flows with general pressure law
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Journal Articles

Machine learning-assisted multi-scale modeling

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Weinan E, Huan Lei, Pinchen Xie, Linfeng Zhang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 071101 (2023)
https://doi.org/10.1063/5.0149861
Published: July 2023
View articletitled, Machine learning-assisted multi-scale modeling
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Journal Articles

Fully developed, doubly periodic, viscous flows in infinite space-periodic pipes under general time-periodic total fluxes

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Hugo Beirão da Veiga, Jiaqi Yang
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 011515 (2023)
https://doi.org/10.1063/5.0094333
Published: January 2023
View articletitled, Fully developed, doubly periodic, viscous flows in infinite space-periodic pipes under general time-periodic total fluxes
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Journal Articles

Stationary solutions to a compressible non-Newtonian fluid with general boundary conditions

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Li Fang, Yugang Zhao, Zhenhua Guo
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 121511 (2022)
https://doi.org/10.1063/5.0112789
Published: December 2022
View articletitled, Stationary solutions to a compressible non-Newtonian fluid with general boundary conditions
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Journal Articles

Temporal decay of strong solutions for generalized Newtonian fluids with variable power-law index

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Seungchan Ko
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 041508 (2022)
https://doi.org/10.1063/5.0074567
Published: April 2022
View articletitled, Temporal decay of strong solutions for generalized Newtonian fluids with variable power-law index
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Journal Articles

Global well-posedness and decay estimates to the 3D Cauchy problem of nonhomogeneous magneto-micropolar fluid equations with vacuum

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Xinying Yang, Xin Zhong
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 011506 (2022)
https://doi.org/10.1063/5.0078216
Published: January 2022
View articletitled, Global well-posedness and decay estimates to the 3D Cauchy problem of nonhomogeneous magneto-micropolar fluid equations with vacuum
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Journal Articles

Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity

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Lingxi Liu, Xin Zhong
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 061508 (2021)
https://doi.org/10.1063/5.0055689
Published: June 2021
View articletitled, Global existence and exponential decay of strong solutions for 2D nonhomogeneous micropolar fluids with density-dependent viscosity
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Journal Articles

Global solutions to the n-dimensional incompressible Oldroyd-B model without damping mechanism

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Xiaoping Zhai
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 021503 (2021)
https://doi.org/10.1063/5.0010742
Published: February 2021
View articletitled, Global solutions to the n-dimensional incompressible Oldroyd-B model without damping mechanism
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Journal Articles

Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions

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Jianfeng Zhou, Zhong Tan
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 091509 (2020)
https://doi.org/10.1063/5.0010026
Published: September 2020
View articletitled, Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions
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Journal Articles

Temporal decay of strong solutions to the magnetohydrodynamics with power-law type nonlinear viscous fluid

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Jae-Myoung Kim
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 011504 (2020)
https://doi.org/10.1063/1.5128708
Published: January 2020
View articletitled, Temporal decay of strong solutions to the magnetohydrodynamics with power-law type nonlinear viscous fluid
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Journal Articles

Liouville type results for a class of quasilinear parabolic problems

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N. Belhaj Rhouma, M. Seddik
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 101501 (2019)
https://doi.org/10.1063/1.5022645
Published: October 2019
View articletitled, Liouville type results for a class of quasilinear parabolic problems
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Journal Articles

Local strong solution for a class of non-Newtonian fluids with heat-conducting and state function

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Yunliang Zhang, Zhidong Guo
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 091503 (2019)
https://doi.org/10.1063/1.5103227
Published: September 2019
View articletitled, Local strong solution for a class of non-Newtonian fluids with heat-conducting and state function
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