On the global well-posedness of the Boussinesq system with zero viscosity
Taoufik Hmidi, Sahbi Keraani
本文证明了具有粗糙初始数据的零粘性二维Boussinesq系统的全局适定性。
In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.
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We show the existence of Hölder continuous periodic solution with compact support in time of the Boussinesq equations with partial viscosity. The Hölder regularity of the solution we constructed is anisotropic which is compatible with partial viscosity of the equations.
We study the existence, uniqueness as well as regularity issues for the two-dimensional incompressible Boussinesq equations with temperature-dependent thermal and viscosity diffusion coefficients in general Sobolev spaces. The optimal regularity exponent ranges are considered.
The present paper is dedicated to the global well-posedness issue for the Boussinesq system with the temperature-dependent viscosity in $\mathbb{R}^2.$ We aim at extending the work by Abidi and Zhang ( Adv. Math. 2017 (305) 1202--1249 ) to a supercritical dissipation for temperature.
The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity
证明了具有非齐次边界条件的二维Boussinesq方程组的初边值问题强解的整体适定性和整体吸引子的存在性.
We prove the global well-posedness of the two-dimensional Boussinesq equations with zero viscosity and positive diffusivity in bounded domains for rough initial data [ $u_{0}\in L^{2}$, $\text{curl}\,u_{0}\in L^{\infty}$ and $θ_{0}\in B^{2-2/p}_{q,p}$ with $p\in (1,\infty)$, $q\in (2,\infty)$ ]. Our method is based on the maximal regularity for heat equation.
Zero-viscosity Limit for Boussinesq Equations with Vertical Viscosity and Navier Boundary in the Half Plane
本文研究了半平面上具垂直粘性和Navier边界的2-D Boussinesq方程的零粘性极限，证明了边界层近似解的非线性稳定性并确定了展开阶与收敛率，将全空间完全耗散系统的部分零耗散极限结果扩展至具部分耗散和Navier边界的情形。
In this paper, we discuss with the global well-posedness of 2D anisotropic nonlinear Boussinesq equations with any two positive viscosities and one positive thermal diffusivity. More precisely, for three kinds of viscous combinations, we obtain the global well-posedness without any assumption on the solution. For other three difficult cases, under the minimal regularity assumption, we also derive the unique global solution. To the authors' knowledge, our result is new even for the simplified model.
Long time stability and instability in the two-dimensional Boussinesq system with kinematic viscosity
本文研究二维Boussinesq系统在周期通道中的长时间行为，证明静水平衡在低正则扰动下不稳定，并利用新发现的Lyapunov泛函建立分层密度的渐近稳定性。
The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity
我们所关心的是所谓的Boussinesq方程的部分粘性。这些方程由带强迫项的不可压斯托克斯方程组成，强迫项由速度场传递{ \it，无耗散}。这些方程是地球物理学的简化模型（在这种情况下，强迫项与温度、盐度或密度成正比）。本文证明了不可压Navier-斯托克斯方程的标准定理可以推广到Boussinesq系统，尽管强迫项在大时间内没有耗散或衰减。更准确地说，我们陈述了有限能量弱解在任何维度上的整体存在性，以及小数据下在维度$N\geq3$上的整体适定性。在二维情形下，有限能量整体解对于$L^2(\R^2).$中的任何数据都是唯一的
Global Weak Solutions for Boussinesq System with Temperature dependent Viscosity and bounded Temperature
本文得到了粘性依赖于温度的$d$ -维Bussinesq方程组整体弱解的存在性结果.初始温度是有界的，而初始速度属于某个临界Besov空间，不随系统的标度变化。我们假设粘性足够接近于一个正的常数，并且它们的差的$L^\infty$范数加上初始速度的水平分量的Besov范数被假设相对于初始速度的垂直分量是指数小的。在附录和附录中我们考虑了热核的几个$L^p L^q$正则性定理，它们在本文的主要证明中起着重要的作用。
Linear and nonlinear stability for the $3$D stratified Boussinesq equations with the horizontal viscosity and diffusivity
本文研究具有水平粘性和热扩散率的稳定分层流体$3$D Boussinesq方程的大时间行为，利用各向异性Littlewood--Paley理论获得精确的$L^1$-$L^p$衰减估计，揭示了分层斜对称项的色散效应和速度场第三分量的增强耗散效应。
In this work we prove a global well-posedness result for a tridimensional rescaled Boussinesq system, with positive full viscosity and diffusivity parameters in the framework of critical Fourier-Besov spaces. This rescaled approach permits to know the behaviour of the system according to relations between both the parameters and the initial velocity and temperature; for instance, it is possible to consider, for small enough viscosity and large diffusivity, a large enough critical Fourier-Besov norm for the initial temperature and it is also possible to consider, for small enough diffusivity an…
Regularity criteria and uniform estimates for the Boussinesq system with the temperature-dependent viscosity and thermal diffusivity
本文建立了三维Boussinesq方程组的一些正则性准则。当流体粘性系数为正常数时，我们也得到了相应的二维情形的一些一致估计。
In this paper, we investigate the global existence and uniqueness of strong solutions to 2D Boussinesq system with anisotropic thermal diffusion or anisotropic viscosity and with striated initial data. Using the key idea of Chemin to solve 2-D vortex patch of ideal fluid, namely the striated regularity can help to bound the gradient of the velocity, we can prove the global well-posedness of the Boussinesq system with anisotropic thermal diffusion with initial vorticity being discontinuous across some smooth interface. In the case of an anisotropic horizontal viscosity we can study the propagat…
Global Existence Results for the Anisotropic Boussinesq System in Dimension Two
研究了具有水平粘性的二维Boussinesq方程组的整体解的存在性问题。我们首先研究的情况下，Navier-斯托克斯方程没有垂直粘性耦合的输运方程。其次，我们考虑了经典的二维不可压Euler方程和只在水平方向上有扩散的输运扩散方程之间的耦合。对于这两个系统和任意大的数据，我们构造整体弱解`a la Leray。接下来，我们陈述更规则数据的全局适定性结果。我们的结果强烈依赖于这样一个事实，即扩散发生在垂直于浮力的方向。
Global Well-posedness for The 2D Boussinesq System Without Heat Diffusion and With Either Anisotropic Viscosity or Inviscid Voigt-$α$ Regularization
我们建立了海洋动力学中一类仅在水平方向具有粘性的二维非扩散Boussinesq方程组的整体解的存在唯一性定理。这一工作改进了R. Danchin和M. Paicu的Boussinesq系统的各向异性粘性和零扩散。虽然我们遵循他们的一些想法，在证明唯一性的结果，我们已经使用了另一种方法，通过写作的传输温度（密度）为$θ= Δξ$和适应的技术的V. Yudovich的二维不可压缩欧拉方程。这个新的想法使我们能够建立唯一性的结果与更少的假设上的初始数据的传输量$θ$。此外，这种新技术使我们能够建立唯一性的结果，而不必求助于副积演算的J.博尼。我们还提出了一个无粘$α$ -正则化的二维无粘，非扩散Boussinesq方程组，我们称之为Boussinesq-Voigt方程。建立了该系统的全局正则性。此外，我们建立了Boussinesq-Voigt模型的解收敛到相应的二维Boussinesq方程组的无粘流动的热（密度）扩散的解决方案，后者的存在区间。此外，我们推导出一个有限时间爆破的无粘，非扩散的二维Boussinesq系统的解决方案的基础上，这个无粘Voigt正则化。最后，我们提出了一个三维无粘Boussinesq方程的$α$正则化，并证明了它的整体适定性.值得一提的是，我们的结果也是有效的存在下的$β$ -平面近似的科里奥利力。
In this paper, we prove that temperature patch solutions to the subcritical Boussinesq-Navier-Stokes System with no diffusion preserve the Hölder regularity of their boundary for all time, which generalises the previously known result by F. Gancedo and E. García-Juárez [Annals of PDE, 3(2):14, 2017] to the full range of subcritical viscosity.
We establish global-posedness in time for the viscous Boussinesq equations in two dimensions of space with temperature-dependent diffusivity in the framework of a smooth vortex patch. We also provide the inviscid limit for velocity, temperature, and associated flow toward the system studied very recently in \cite{Paicu-Zhu} as soon as the viscosity goes to zero, and quantify the rate of convergence.
Growth of curvature and perimeter of temperature patches in the 2D Boussinesq equations
针对带运动粘度的二维不可压缩Boussinesq系统，构建了由两个不相交单连通斑组成的温度斑解示例，证明其曲率和周长随时间至少以代数速率增长至无穷。
This paper is concerned with the initial-boundary value problem to 2D magnetohydrodynamics-Boussinesq system with the temperature-dependent viscosity, thermal diffusivity and electrical conductivity. First, we establish the global weak solutions under the minimal initial assumption. Then by imposing higher regularity assumption on the initial data, we obtain the global strong solution with uniqueness. Moreover, the exponential decay estimate of the solution is obtained.
The stability threshold for Boussinesq equations around stratified Couette flow with unequal viscosity and thermal diffusivity on $\mathbb{T}\times\mathbb{R}^2$
该研究证明了在不等粘性与热扩散率的分层 Couette 流周围，3D Boussinesq 方程在特定初始扰动条件下具有全局存在性，并建立了零模态的 Strichartz 型估计及非线性放大机制。
On the global regularity of axisymmetric Navier-Stokes-Boussinesq system
本文证明了具有轴对称初值的三维Navier-Stokes-Boussinesq方程组的一个整体适定性。该系统耦合了Navier-斯托克斯方程和控制密度的输运方程。
In this paper, we improve the global existence result in [9] slightly. More precisely, the global existence of strong solutions to the primitive equations with only horizontal viscosity and diffusivity is obtained under the assumption of initial data $(v_0,T_0) \in H^1$ with $\partial_z v_0 \in L^4$. Moreover, we prove that the scaled Boussinesq equations with rotation strongly converge to the primitive equations with only horizontal viscosity and diffusivity, in the cases of $H^1$ initial data, $H^1$ initial data with additional regularity $\partial_z v_0 \in L^4$ and $H^2$ initial data, resp…
This article studies the global well-posedness for a class of defocusing, generalized sixth-order Boussinesq equations, extending a previous result obtained by Wang and Esfahani for the case when the nonlinear term is cubic.
Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity
本文研究了无粘二维Boussinesq方程在Kraichnan型传输噪声下的强唯一性，利用噪声引起的反常正则性补偿非线性项和耦合项的奇异性，证明了概率强解的存在性与唯一性。
Global well-posedness for the Euler-Boussinesq system with axisymmetric data
本文证明了三维Euler-Boussinesq方程组在轴对称初值下的整体适定性。该系统将欧拉方程与控制温度的输运-扩散方程耦合。
Global well-posedness for Euler-Boussinesq system with critical dissipation
本文研究了一个分数阶扩散Boussinesq模型，它耦合了不可压的Euler方程和分数阶扩散的输运方程。我们证明了全局适定性结果。
In this article, we prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical case.
Global well-posedness for a Boussinesq- Navier-Stokes System with critical dissipation
本文研究了一个分数阶扩散Boussinesq模型，它耦合了一个分数阶扩散的Navier-Stokes型方程和一个温度输运方程。我们建立了整体的适定性结果与粗糙的初始数据。
The global attractor of the 2D Boussinesq equations with fractional Laplacian in Subcritical case
在次临界条件下，我们证明了具有分数拉普拉斯算子的周期通道中二维Boussinesq系统的强解的整体适定性和整体吸引子的存在性.分析揭示了拉普拉斯指数与速度和温度空间的规律性之间的关系。
Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data
本文证明了具有轴对称初值的三维Boussinesq方程组的整体适定性。该系统耦合了斯托克斯方程和控制温度的输运-扩散方程。对于可能为零的导热系数$κ\geq 0$，我们的结果是一致的。
We address the persistence of regularity for the 2D $α$-fractional Boussinesq equations with positive viscosity and zero diffusivity in general Sobolev spaces, i.e., for $(u_{0}, ρ_{0}) \in W^{s,q}(\mathbb R^2) \times W^{s,q}(\mathbb R^2)$, where $s> 1$ and $q \in (2, \infty)$. We prove that the solution $(u(t), ρ(t))$ exists and belongs to $W^{s,q}(\mathbb R^2) \times W^{s,q}(\mathbb R^2)$ for all positive time $t$ for $q>2$, where $α\in(1,2)$ is arbitrary.
Global existence and uniqueness for a non linear Boussinesq system in dimension two
本文研究了二维Boussinesq方程组的整体适定性，该方程组耦合了求解速度的不可压Euler方程和求解温度的$|\DD|^α$型分数阶扩散的输运方程.我们证明了$α>1,$有一个唯一的全局解的初始数据与临界时间。
We address the well-posedness for the two-dimensional Boussinesq equations with zero diffusivity in bounded domains. We prove global in time regularity for rough initial data: both the initial velocity and temperature have $ε$ fractional derivatives in $L^{q}$ for some $q>2$ and $ε>0$ arbitrarily small.
Existence of one class of global strong solution to the Cauchy problem for the three-dimensional incompressible Boussinesq system
本文证明了具有特殊螺线初始数据的三维不可压缩Boussinesq系统强解的全局存在性，并指出这些解可表示为傅里叶级数。
Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
本文主要研究二维无粘Boussinesq方程组解的整体存在性。我们专注于有限的能量数据与有界涡量，我们发现，在相当自然的附加假设的初始温度，存在一个全球唯一的解决方案。没有对数据施加小的条件。讨论了具有无限能量初速度和Bénard系统的整体解的存在性问题。
Global rough solutions to the cubic nonlinear Boussinesq equation
证明了在$2/3<s<1$的条件下，三次离焦非线性Boussinesq方程$u_{tt}-u_{xx}+u_{xxxx}-(|u|^2u)_{xx}=0$在实直线上的初值问题在$H^{s}(\R)$中是整体适定的.
In this paper, we will show that solutions of the three-dimensional non-resistive and non-diffusive MHD-Boussinesq system are globally regular if the initial data is axisymmetric and the swirl components of the velocity and the magnetic vorticity are zero. Our main result extends previous ones on the three-dimensional non-resistive MHD system and non-diffusive Boussinesq system, and the method used here can also be applied to the magnetic Rayleigh-Bénard convection system.
In this paper, we prove global well-posedness of smooth solutions to the two-dimensional incompressible Boussinesq equations with only a velocity damping term when the initial data is close to an nontrivial equilibrium state $(0,x_2)$. As a by-product, under this equilibrium state, our result gives a positive answer to the question proposed by [ACWX] (see P.3597).
Stability of purely convective steady-states of fractional Boussinesq equations in an exterior domain
研究了三维无限流体域中球体外的热对流流动，通过分数幂的斯托克斯算子确定粘性力，得出纯导热稳态，并证明了稳态解在 $L^2$ 空间中的全局稳定性。
J.-Y. Chemin proved the convergence (as the Rossby number $ε$ goes to zero) of the solutions of the Primitive Equations to the solution of the 3D quasi-geostrophic system when the Froude number F = 1 that is when no dispersive property is available. The result was proved in the particular case where the kinematic viscosity $ν$ and the thermal diffusivity $ν$ ' are close. In this article we generalize this result for any choice of the viscosities, the key idea is to rely on a special feature of the quasi-geostrophic structure.
A note on global regularity results for 2D Boussinesq equations with fractional dissipation
本文研究了具有分数阶Laplacian耗散和热扩散的二维不可压Boussinesq方程的Cauchy问题。利用能量方法和几种交换子估计，得到了二维Boussinesq方程只要$1-α<β< \min\Big\{\fracα{2},\,\, \frac{3α-2}{2α^{2}-6α+5}, \,\,\frac{2-2α}{4α-3}\Big\}$与$0.77963\thickapproxα_{0}<α<1$的整体正则性结果.因此，该结果是对前两个作品\cite{MX,YXX}的进一步改进。
In this paper, we consider the stochastic Boussinesq equations on $\mathbb T^3$ with transport noise and rough initial data. We first prove the existence and uniqueness of the local pathwise solution with initial data in $L^p(Ω;L^p)$ for $p>5$. By assuming additional smallness on the initial data and the noise, we establish the global existence of the pathwise solution.
Here we investigate the so-called temperature patch problem for the incompressible Boussinesq system with partial viscosity, in the whole space $\mathbb{R}^N$ $(N \geq 2)$, where the initial temperature is the characteristic function of some simply connected domain with $C^{1, \varepsilon}$ H{ö}lder regularity. Although recent results in [1, 15] ensure that an initially $C^1$ patch persists through the evolution, whether higher regularity is preserved has remained an open question. In the present paper, we give a positive answer to that issue globally in time, in the 2-D case for large initial…
Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation
作为文献[40]的继续，本文研究了具有分数阶Laplacian耗散的二维不可压Boussinesq方程的Cauchy问题.给出了二维Boussinesq方程在Laplacian算子的一个新的分数幂范围内光滑解的整体正则性的一个初等证明。该论点是基于[12]中建立的分数拉普拉斯算子的非线性下界。因此，这一结果显着改善了最近的作品[12，38，40]。
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
本文研究了$N\geq3.$维中具有部分粘性的Boussinesq方程组的Cauchy问题。首先证明了在Lorentz空间中满足一个小条件的整体解的存在性。其次，我们得到了具有{ \it negative}正则性指标的Besov空间中的唯一性结果（尽管温度上没有平滑效应）。证明依赖于带有对流的非定常Stokes系统的正则性损失的先验估计。作为推论，我们得到了Lorentz空间中小数据的整体存在唯一性结果。
Global solutions to the Boussinesq equations and the planetary geostrophic approximation
该研究针对行星地转尺度下的三维Boussinesq方程，通过建立一致估计和新颖的无浮力流动分解方法，得到无初始数据限制的全局解，并严格证明其行星地转近似的合理性。
We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Euler-type system and apply the methods of convex integration of De Lellis and Székelyhidi to show the existence of infinitely many global weak solutions of the studied equations for general initial data. We also introduce an appropriate notion of dissipative solutions and show the existence of suitable initial data which generate infinitely many dissipative solutions.
This work concerns the global well-posedness problem for the 3D axisymmetric viscous Boussinesq system with critical rough initial data. More precisely, we aim to extending our recent result \cite{Hanachi-Houamed-Zerguine} to the case of initial data of measure type. To this end, we should first develop some notions of axisymmetric measures in a general context, then, in the spirit of \cite{Gallay-Sverak}, we prove the global wellposedness result provided that the atomic parts of the initial measures are small enough.
Small global solutions to the damped two-dimensional Boussinesq equations
二维不可压Euler方程组的解的存在唯一性问题已经得到了深入的研究，并且在时间上的整体解的存在唯一性问题的解决也取得了令人满意的进展。相比之下，关于二维无粘Boussinesq方程的全局正则性问题仍然广泛开放。为了理解这个问题，我们研究了阻尼二维Boussinesq方程，并研究阻尼如何影响解的正则性。由于阻尼效应不足以克服由于“涡拉伸”的困难，我们寻求唯一的全球小的解决方案，并已主要致力于努力最小化的小假设。通过将解定位在适当的函数环境中（更精确地说是齐次Besov空间$\mathring{B}^1_{\infty,1}$），我们能够在极小化假设下得到唯一的全局解.
This paper examines the question for global regularity for the Boussinesq equation with critical fractional dissipation. The main result states that the system admits global regular solutions for all (reasonably) smooth and decaying data, as long as $\al>2/3$. This significantly improves upon some recent works. The main new idea is the introduction of a new, second generation Hmidi-Keraani-Rousset type, change of variables, which further improves the linear derivative in temperature term in the vorticity equation. This approach is then complemented by new set of commutator estimates, which may…
The contribution of this paper will be focused on the global existence and uniqueness topic in three-dimensional case of the axisymmetric viscous Boussinesq system in critical Lebesgue spaces. We aim at deriving analogous results for the classical two-dimensional and three-dimensional axisymmetric Navier-Stokes equations recently obtained in \cite{Gallay,Gallay-Sverak}. Roughly speaking, we show essentially that if the initial data $(v_0,ρ_0)$ is axisymmetric and $(ω_0,ρ_0)$ belongs to the critical space $L^1(Ω)\times L^1(\mathbb{R}^3)$, with $ω_0$ is the initial vorticity associated to $v_0$ …
This paper considers the temperature patch problem for the incompressible Boussinesq system with no diffusion and viscosity in the whole space $\mathbb{R}^2$. We prove that for initial patches with $W^{2,\infty}$ boundary the curvature remains bounded for all time. The proof explores new cancellations that allow us to bound $\nabla^2u$, even for those components given by time dependent singular integrals with kernels with nonzero mean on circles. In addition, we give a different proof of the $C^{1+γ}$ regularity result in [23], $0<γ<1$, using the scale of Sobolev spaces for the velocity. Furth…
Global mild solutions in a critical setting for a forced fractional Boussinesq system
本文在适配的抛物型 Morrey 空间临界框架下，通过项估计与不动点方法证明受迫不可压缩分数阶 Boussinesq 系统全局温和解的存在性。
On the global well-posedness of a class of Boussinesq- Navier-Stokes systems
本文考虑二维Boussinesq-Navier-Stokes系统\partial_{t} u+ \cdot \nabla u+ \nabla p+ |D| ^αu &= θ e_{2} \partial_{t} θ+ uPDMATHABMN \nabla θ+ |D| ^βθ&=0 \quad，其中有$\textrm{div} u=0$和$0<β<α<1$ .当$\frac{6-\sqrt{6}}{4}<α< 1$，$1-α<β\leq f(α) $，其中$f(α)$是一个明确的功能作为一个技术界限，我们证明了全球适定性结果粗糙的初始数据。
Global regularity for the 2D anisotropic Boussinesq Equations with vertical dissipation
建立了二维各向异性垂直耗散Boussinesq方程的经典解的整体存在性.当只考虑垂向耗散时，对水平导数没有直接控制，全局正则性问题非常具有挑战性。为了解决这个问题，我们绑定的垂直速度$v$的$L^\infty$ -范数的衍生物，并证明$\|v\|_{L^{r}}$与$2\le r<\infty$在任何时候都不会增长快于$\sqrt{r \log r}$作为$r$增加。一个微妙的插值不等式连接$\|v\|_{L^\infty}$和$\|v\|_{L^r}$，然后产生所需的全局正则性。
Global well-posedness for the 2D Euler-Boussinesq-B$\rm\acute{e}$nard equations with critical dissipation
本文证明了具有临界耗散的二维Euler-Boussinesq-Bénard方程在Yudovich型数据下存在全局唯一解，解决了Wu和Xue提出的全局正则性问题。
On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces
本文研究了一类三维Boussinesq方程组的整体解的存在性和唯一性，该方程组具有轴对称初值$v^{0}{\in}B_{2,1}^{5/2}(\RR^3)$和$ $ ρ^{0}{ \in } B_{2,1} ^{1/2}（\RR^3）\cap L^{p}（\RR^3）$ with $ p>6.$该系统耦合了不可压欧拉方程和控制密度的输运-扩散方程。在这种情况下，Beale-Kato-Majda准则是不知道是有效的，为了避免这个困难，我们在一个关键的方式使用涡的一些几何性质。
A global regularity result for the 2D Boussinesq equations with critical dissipation
研究了具有分数阶耗散的二维不可压Boussinesq方程的整体正则性问题，其中速度方程由$Λ^αu$给出，温度方程由$Λ^βθ$给出，其中$Λ=\sqrt{-Δ}$表示Zygmund算子.当$(α,β)$在临界范围内时，我们建立了经典解的整体存在性和光滑性：$α>\frac{\sqrt{1777}-23}{24} =0.798103..$，$β>0$和$α+ β=1$ .这一结果改进了Jiu，Miao，Wu和Zhang的\cite{JMWZ}的工作，得到了$α> \frac{23-\sqrt{145}}{12} \approx 0.9132$，$β>0$和$α+ β=1$的全局正则性.
Global well-posedness of a nonlinear Boussinesq-fluid-structure interaction system with large initial data
本文针对描述含热交换的不可压缩Boussinesq流体与弹性结构耦合运动的系统，证明了二维/三维弱解整体存在性、二维弱解唯一性及光滑大初始数据下二维整体强光滑解的存在唯一性。
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