Wenjun Wang
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Wenjun Wang has a total of 23 co-authors. Here are the top co-authors by number of shared publications:
- Huanyao Wen
School of Mathematics, South China University of Technology, Guangzhou, China
5 shared publications - Jinrui Huang
School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, China
2 shared publications - Lei Yao
School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, People’s Republic of China
2 shared publications - Zhen Cheng
College of Science, University of Shanghai for Science and Technology, Shanghai, China
2 shared publications Zifan Zhang
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
2 shared publicationsChanxin Xie
Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
1 shared publication
Latest Publications
- 4 March 2026
- Published by Springer Nature in Science China Mathematics
- p. 1-22
Global solvability of a non-conservative compressible generic two-fluid model
- 4 March 2026
- Published by Springer Nature in Science China Mathematics
- p. 1-22
Global solvability of a non-conservative compressible generic two-fluid model
- 1 October 2025
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 66 (10)
Global well-posedness and long time behavior of strong solutions for a fluid–particle interaction model in three dimensions
In this paper, we consider Cauchy problem for a compressible fluid-particle interaction system in three dimensions. Under some assumptions that the initial data are of a small perturbation around a nontrivial stationary profile in H2(R3) norm, we obtain the global existence and uniqueness of the solutions. Long-time behavior of the solution is also studied. More specifically, based on the analysis of Green’s matrix for the linearized system and the classification of the nonlinear terms on different decays in time, we obtain Lp-norm estimates of the solutions.
- 1 October 2025
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 66 (10)
Global well-posedness and long time behavior of strong solutions for a fluid–particle interaction model in three dimensions
In this paper, we consider Cauchy problem for a compressible fluid-particle interaction system in three dimensions. Under some assumptions that the initial data are of a small perturbation around a nontrivial stationary profile in H2(R3) norm, we obtain the global existence and uniqueness of the solutions. Long-time behavior of the solution is also studied. More specifically, based on the analysis of Green’s matrix for the linearized system and the classification of the nonlinear terms on different decays in time, we obtain Lp-norm estimates of the solutions.
- 15 March 2025
- Published by Wiley in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Vol. 105 (3)
Global strong solutions to compressible non‐isothermal nematic liquid crystal flows with vacuum at infinity in R3$\mathbb {R}^3$
We consider the Cauchy problem for the compressible non‐isothermal nematic liquid crystal equations in . The existence of global strong solutions is established when the initial mass of the flow and the ‐norm of the spatial derivative of the initial macroscopic average of the nematic liquid crystal orientation field are suitably small. The results show that the strong solution may have large oscillations and can contain vacuum states.
- 15 March 2025
- Published by Wiley in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Vol. 105 (3)
Global strong solutions to compressible non‐isothermal nematic liquid crystal flows with vacuum at infinity in R3$\mathbb {R}^3$
We consider the Cauchy problem for the compressible non‐isothermal nematic liquid crystal equations in . The existence of global strong solutions is established when the initial mass of the flow and the ‐norm of the spatial derivative of the initial macroscopic average of the nematic liquid crystal orientation field are suitably small. The results show that the strong solution may have large oscillations and can contain vacuum states.
- 1 January 2025
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems-Series B
- Vol. 30 (8) , 3055-3083
Convergence rate to viscous contact waves for a 1D compressible radiation hydrodynamics system
In this paper, we consider the nonlinear stability of contact waves for a compressible radiation hydrodynamics system in one dimension under zero mass condition. To be specific, we demonstrate that the contact wave pattern is nonlinear stable, provided that both the initial perturbation and the strength of contact wave are sufficiently small. Moreover, the large-time asymptotic stability of the contact wave is established, with a uniform convergence rate of $ (1+t)^{-\frac{1}{2}}\ln^\frac{1}{2}(2+t) $.- 1 January 2025
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems-Series B
- Vol. 30 (8) , 3055-3083
Convergence rate to viscous contact waves for a 1D compressible radiation hydrodynamics system
In this paper, we consider the nonlinear stability of contact waves for a compressible radiation hydrodynamics system in one dimension under zero mass condition. To be specific, we demonstrate that the contact wave pattern is nonlinear stable, provided that both the initial perturbation and the strength of contact wave are sufficiently small. Moreover, the large-time asymptotic stability of the contact wave is established, with a uniform convergence rate of $ (1+t)^{-\frac{1}{2}}\ln^\frac{1}{2}(2+t) $.- 13 August 2024
- Published by Elsevier in Journal of Differential Equations
- Vol. 410, 666-715
Global solutions of a dissipative Baer-Nunziato type system for a mixture of two compressible heat conducting gases
- 13 August 2024
- Published by Elsevier in Journal of Differential Equations
- Vol. 410, 666-715
Global solutions of a dissipative Baer-Nunziato type system for a mixture of two compressible heat conducting gases
- 1 January 2024
- Published by International Press of Boston in Communications in Mathematical Sciences
- Vol. 22 (4) , 1021-1052
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 1 January 2024
- Published by International Press of Boston in Communications in Mathematical Sciences
- Vol. 22 (4) , 1021-1052
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 1 January 2024
- Published by International Press of Boston in Communications in Mathematical Sciences
- Vol. 22 (3) , 789-816
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 1 January 2024
- Published by International Press of Boston in Communications in Mathematical Sciences
- Vol. 22 (3) , 789-816
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 25 July 2022
- Published by Springer Nature in Acta Mathematica Scientia
- Vol. 42 (5) , 1921-1946
Large Time Behavior of Global Strong Solutions to a Two-Phase Model with a Magnetic Field
- 25 July 2022
- Published by Springer Nature in Acta Mathematica Scientia
- Vol. 42 (5) , 1921-1946
Large Time Behavior of Global Strong Solutions to a Two-Phase Model with a Magnetic Field
- 23 July 2022
- Published by Springer Nature in Zeitschrift für angewandte Mathematik und Physik
- Vol. 73 (5) , 1-21
Optimal decay rate to 3D reduced gravity two-and-a-half-layer model
- 23 July 2022
- Published by Springer Nature in Zeitschrift für angewandte Mathematik und Physik
- Vol. 73 (5) , 1-21
Optimal decay rate to 3D reduced gravity two-and-a-half-layer model
- 3 June 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 45 (17) , 11079-11103
Large time behavior of solutions to the inviscid liquid‐gas two‐phase flow model
The purpose of this paper is to gain some insight into the existence theory and large time behavior of the inviscid liquid‐gas two‐phase flow model in . Main focus is on the influences of the damping on the qualitative behavior of solutions of the corresponding Cauchy problem under only the smallness assumption on ‐norm of the initial perturbation. The energy method combined with the low frequency and high frequency decomposition is used to obtain the desired decay of the solution and hence global existence. As a byproduct, ‐ decay rates are obtained for the solution and its derivatives. This result implies that the friction effect of the damping contributes to enhance the decay rate of the velocity, even if there is no the additional ‐norm boundedness condition of the initial perturbation.
- 3 June 2022
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 45 (17) , 11079-11103
Large time behavior of solutions to the inviscid liquid‐gas two‐phase flow model
The purpose of this paper is to gain some insight into the existence theory and large time behavior of the inviscid liquid‐gas two‐phase flow model in . Main focus is on the influences of the damping on the qualitative behavior of solutions of the corresponding Cauchy problem under only the smallness assumption on ‐norm of the initial perturbation. The energy method combined with the low frequency and high frequency decomposition is used to obtain the desired decay of the solution and hence global existence. As a byproduct, ‐ decay rates are obtained for the solution and its derivatives. This result implies that the friction effect of the damping contributes to enhance the decay rate of the velocity, even if there is no the additional ‐norm boundedness condition of the initial perturbation.