Huanyao Wen
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Huanyao Wen has a total of 32 co-authors. Here are the top co-authors by number of shared publications:
- Wenjun Wang
College of Science, University of Shanghai for Science and Technology, Shanghai, China
5 shared publications - Changjiang Zhu
School of Mathematics, South China University of Technology, Guangzhou, China
4 shared publications - Steinar Evje
University of Stavanger, Stavanger, Norway
3 shared publications - Yinghui Wang
MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, China
3 shared publications - Sili Liu
School of Mathematics, South China University of Technology, Guangzhou 510631, China
2 shared publications - Xingyang Zhang
School of Mathematics, South China University of Technology, Guangzhou, China
2 shared publications
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
- Open Access
The small Deborah number limit for the compressible fluid-particle flows
In this paper, we consider the hydrodynamic limit for the fluid-particle flows governed by the Vlasov-Fokker-Planck equation coupled with the compressible Navier-Stokes equation as the Deborah number tends to zero. The limit is valid globally in time provided that the initial perturbation is small in a neighborhood of a steady state. The proof is based on a formal derivation via the Hilbert expansion around the limiting system, the rigorous justification of which is completed by the refined energy estimates involving the macro-micro decomposition. Compared with the existing results obtained by the relative entropy argument([A. Mellet and A. F. Vasseur, Comm. Math. Phys., 281 (2008), pp. 573--596]), the present work provides a stronger pointwise convergence of the hydrodynamic limits with an explicit rate for the fluid-particle coupled model.
Open AccessThe small Deborah number limit for the compressible fluid-particle flows
In this paper, we consider the hydrodynamic limit for the fluid-particle flows governed by the Vlasov-Fokker-Planck equation coupled with the compressible Navier-Stokes equation as the Deborah number tends to zero. The limit is valid globally in time provided that the initial perturbation is small in a neighborhood of a steady state. The proof is based on a formal derivation via the Hilbert expansion around the limiting system, the rigorous justification of which is completed by the refined energy estimates involving the macro-micro decomposition. Compared with the existing results obtained by the relative entropy argument([A. Mellet and A. F. Vasseur, Comm. Math. Phys., 281 (2008), pp. 573--596]), the present work provides a stronger pointwise convergence of the hydrodynamic limits with an explicit rate for the fluid-particle coupled model.
- Open Access
Global well-posedness of 3D two-fluid type model with vacuum: smallness on scaling invariant quantity
This paper focuses on Cauchy problem for the three-dimensional two-fluid type model, in which the presence of vacuum is permitted. Under some assumptions that the initial data satisfy appropriate regularity conditions and a compatibility constraint, and that the newly introduced scaling-invariant initial quantities $\bar P^{\frac{ 3}γ} \left(\|\sqrt{ρ_0}u_0\|_{L^2}^2+\|P_0\|_{L^1}\right) \left(\|\nabla u_0\|_{L^2}^2+\|P_0\|_{L^2}^2\right)$ and $\bar P^{\frac{6}γ+1} \left(\|\sqrt{ρ_0}u_0\|_{L^2}^2+\|P_0\|_{L^1}\right)^3 \left(\|\nabla u_0\|_{L^2}^2+\|P_0\|_{L^2}^2\right)$ are sufficiently small, the global well-posedness of strong solutions to the two-fluid type model is derived.Open AccessGlobal well-posedness of 3D two-fluid type model with vacuum: smallness on scaling invariant quantity
This paper focuses on Cauchy problem for the three-dimensional two-fluid type model, in which the presence of vacuum is permitted. Under some assumptions that the initial data satisfy appropriate regularity conditions and a compatibility constraint, and that the newly introduced scaling-invariant initial quantities $\bar P^{\frac{ 3}γ} \left(\|\sqrt{ρ_0}u_0\|_{L^2}^2+\|P_0\|_{L^1}\right) \left(\|\nabla u_0\|_{L^2}^2+\|P_0\|_{L^2}^2\right)$ and $\bar P^{\frac{6}γ+1} \left(\|\sqrt{ρ_0}u_0\|_{L^2}^2+\|P_0\|_{L^1}\right)^3 \left(\|\nabla u_0\|_{L^2}^2+\|P_0\|_{L^2}^2\right)$ are sufficiently small, the global well-posedness of strong solutions to the two-fluid type model is derived. - Open Access
- 1 January 2026
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems
- Vol. 56, 36-76
Sharp convergence rate of vanishing resistivity limit for compressible magnetohydrodynamics with boundary layer
We consider the initial-boundary-value problem for compressible isentropic magnetohydrodynamics (MHD) equations. The existence of boundary layer with its thickness is well-known when the resistivity coefficient vanishes. In this work, we derive explicit Prandtl type boundary layer equations, some of whom are nonlinear systems, and prove the global-in-time stability of the boundary layer profiles together with a sharp convergence rate of the vanishing resistivity limit without any smallness assumption on the initial and boundary data.
- 1 January 2026
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems
- Vol. 56, 36-76
Open AccessSharp convergence rate of vanishing resistivity limit for compressible magnetohydrodynamics with boundary layer
We consider the initial-boundary-value problem for compressible isentropic magnetohydrodynamics (MHD) equations. The existence of boundary layer with its thickness is well-known when the resistivity coefficient vanishes. In this work, we derive explicit Prandtl type boundary layer equations, some of whom are nonlinear systems, and prove the global-in-time stability of the boundary layer profiles together with a sharp convergence rate of the vanishing resistivity limit without any smallness assumption on the initial and boundary data.
- Open Access
Global existence and stability of near-affine solutions of compressible elastodynamics
We prove that for sufficiently small $H^3$-perturbations of an affine solution, the Cauchy problem for the compressible nonlinear elastodynamics in $\mathbb{R}^d$, for $d=2,3$, admits a unique global strong solution. Moreover, we establish the asymptotic behavior of the solution.Open AccessGlobal existence and stability of near-affine solutions of compressible elastodynamics
We prove that for sufficiently small $H^3$-perturbations of an affine solution, the Cauchy problem for the compressible nonlinear elastodynamics in $\mathbb{R}^d$, for $d=2,3$, admits a unique global strong solution. Moreover, we establish the asymptotic behavior of the solution. - 13 September 2024
- Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences
- Vol. 34 (12) , 2265-2304
The small deborah number limit for the fluid-particle flows: Incompressible case
This work is devoted to the study of the hydrodynamic limit for the fluid-particle flows governed by the Vlasov–Fokker–Planck (VFP) equation coupled with the incompressible Navier–Stokes (INS) equation as the Deborah number approaches to zero. The limit is valid globally in time provided that the initial perturbation is small in a neighborhood of a steady state. The proof is based on a formal derivation of the limiting system via the Hilbert approach, followed by a rigorous justification via introducing a novel decomposition involving some macroscopic quantities and a refined energy estimate motivated by macro–micro decomposition. In contrast to the existing results for the same scaled model, the present work provides the first one on the hydrodynamic limits in a strong sense with an explicit convergence rate.
- 13 September 2024
- Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences
- Vol. 34 (12) , 2265-2304
The small deborah number limit for the fluid-particle flows: Incompressible case
This work is devoted to the study of the hydrodynamic limit for the fluid-particle flows governed by the Vlasov–Fokker–Planck (VFP) equation coupled with the incompressible Navier–Stokes (INS) equation as the Deborah number approaches to zero. The limit is valid globally in time provided that the initial perturbation is small in a neighborhood of a steady state. The proof is based on a formal derivation of the limiting system via the Hilbert approach, followed by a rigorous justification via introducing a novel decomposition involving some macroscopic quantities and a refined energy estimate motivated by macro–micro decomposition. In contrast to the existing results for the same scaled model, the present work provides the first one on the hydrodynamic limits in a strong sense with an explicit convergence rate.
- 3 January 2024
- Published by Springer Nature in Journal of Mathematical Fluid Mechanics
- Vol. 26 (1) , 1-36
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions
- 3 January 2024
- Published by Springer Nature in Journal of Mathematical Fluid Mechanics
- Vol. 26 (1) , 1-36
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions
- 1 January 2024
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems
- Vol. 45 (1) , 121-159
The Cauchy problem for a compressible generic two-fluid model with large initial data: Global existence and uniqueness
This work is devoted to a study of a compressible generic two-fluid model with possibly unequal velocities for arbitrarily large initial data. This model can describe some interesting physical phenomena, such as counter-current flow in which two fluids move in opposite direction. Less is known about the global existence and uniqueness of large solutions. Even for the one-fluid model, it is still open when the adiabatic parameter belongs to $ (1, \frac{3}{2}] $. The degeneracy of viscosities and the non-conservative form of the pressure terms due to unequal velocities are the main issues. In this work, we obtain the global existence and uniqueness of the solution for arbitrarily large initial data via applying the two-fluid effective velocities to a decomposition of implicit pressure functions and deriving a series of new global a priori $ L^p $ estimates of both velocities and effective velocities. The adiabatic parameters are allowed to be bigger than 1.- 1 January 2024
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems
- Vol. 45 (1) , 121-159
The Cauchy problem for a compressible generic two-fluid model with large initial data: Global existence and uniqueness
This work is devoted to a study of a compressible generic two-fluid model with possibly unequal velocities for arbitrarily large initial data. This model can describe some interesting physical phenomena, such as counter-current flow in which two fluids move in opposite direction. Less is known about the global existence and uniqueness of large solutions. Even for the one-fluid model, it is still open when the adiabatic parameter belongs to $ (1, \frac{3}{2}] $. The degeneracy of viscosities and the non-conservative form of the pressure terms due to unequal velocities are the main issues. In this work, we obtain the global existence and uniqueness of the solution for arbitrarily large initial data via applying the two-fluid effective velocities to a decomposition of implicit pressure functions and deriving a series of new global a priori $ L^p $ estimates of both velocities and effective velocities. The adiabatic parameters are allowed to be bigger than 1.- 28 December 2023
- Published by Springer Nature in Mathematische Annalen
- Vol. 390 (1) , 1201-1248
On Nash’s conjecture for models of viscous, compressible, and heat conducting fluids
- 28 December 2023
- Published by Springer Nature in Mathematische Annalen
- Vol. 390 (1) , 1201-1248
On Nash’s conjecture for models of viscous, compressible, and heat conducting fluids
- Open AccessThe vanishing diffusion limit for an Oldroyd-B model in $\mathbb{R}^2_+$
We consider the initial-boundary value problem for an incompressible Oldroyd-B model with stress diffusion in two-dimensional upper half plane which describes the motion of viscoelastic polymeric fluids. From the physical point of view, the diffusive coefficient is several orders of magnitude smaller than other parameters in the model, and is usually assumed to be zero. However, the link between the diffusive model and the standard one (zero diffusion) via vanishing diffusion limit is still unknown from the mathematical point of view, in particular for the problem with boundary. Some numerical results [13] suggest that this should be true. In this work, we provide a rigorous justification for the vanishing diffusion in $L^\infty$-norm.
Open AccessThe vanishing diffusion limit for an Oldroyd-B model in $\mathbb{R}^2_+$We consider the initial-boundary value problem for an incompressible Oldroyd-B model with stress diffusion in two-dimensional upper half plane which describes the motion of viscoelastic polymeric fluids. From the physical point of view, the diffusive coefficient is several orders of magnitude smaller than other parameters in the model, and is usually assumed to be zero. However, the link between the diffusive model and the standard one (zero diffusion) via vanishing diffusion limit is still unknown from the mathematical point of view, in particular for the problem with boundary. Some numerical results [13] suggest that this should be true. In this work, we provide a rigorous justification for the vanishing diffusion in $L^\infty$-norm.