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Journal of Mathematical Fluid Mechanics最新文献

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Constrained nonstationary incompressible Oseen-Navier-Stokes system with leak and slip boundary conditions: existence and optimal control 具有泄漏和滑移边界条件的约束非平稳不可压缩Oseen-Navier-Stokes系统：存在性和最优控制
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-29 DOI: 10.1007/s00021-026-01002-z
Guangkun Yang, Zijia Peng, Yu Zhang
{"title":"Constrained nonstationary incompressible Oseen-Navier-Stokes system with leak and slip boundary conditions: existence and optimal control","authors":"Guangkun Yang,&nbsp;Zijia Peng,&nbsp;Yu Zhang","doi":"10.1007/s00021-026-01002-z","DOIUrl":"10.1007/s00021-026-01002-z","url":null,"abstract":"<div><p>In this paper, we investigate a nonstationary Oseen-Navier-Stokes system for incompressible fluids under leak and slip boundary conditions, along with state constraints. The weak form of the system leads to a class of evolutionary quasi-variational hemivariational inequalities with nonhomogeneous initial conditions. By demonstrating the weak compactness of the solution set to the inequality problem, we establish the weak compactness of the solution set for the constrained nonstationary incompressible Oseen-Navier-Stokes system with mixed boundary value conditions. We then examine an optimal control problem associated with the system, which is motivated by important applications such as artificial heart models. General existence and compactness results for the optimal control problem are established.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Growth Rates for Anti-Parallel Vortex Tube Euler Flows in Three and Higher Dimensions 三维及高维反平行涡旋管欧拉流的增长率
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-29 DOI: 10.1007/s00021-026-01001-0
Stephen Gustafson, Evan Miller, Tai-Peng Tsai
{"title":"Growth Rates for Anti-Parallel Vortex Tube Euler Flows in Three and Higher Dimensions","authors":"Stephen Gustafson,&nbsp;Evan Miller,&nbsp;Tai-Peng Tsai","doi":"10.1007/s00021-026-01001-0","DOIUrl":"10.1007/s00021-026-01001-0","url":null,"abstract":"<div><p>We consider axisymmetric, swirl-free solutions of the Euler equations in three and higher dimensions, of generalized anti-parallel-vortex-tube-pair-type: the initial scalar vorticity has a sign in the half-space, is odd under reflection across the plane, is bounded and decays sufficiently rapidly at the axis and at spatial infinity. We prove lower bounds on the growth of such solutions in all dimensions. In particular in three dimensions, we improve a recent lower bound of Choi and Jeong [5].</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146082737","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Green’s Function Method and Thin Film Growth Model with Couette Flow 格林函数法与库埃特流薄膜生长模型
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-20 DOI: 10.1007/s00021-025-00997-1
Jie Qi, Weike Wang
{"title":"The Green’s Function Method and Thin Film Growth Model with Couette Flow","authors":"Jie Qi,&nbsp;Weike Wang","doi":"10.1007/s00021-025-00997-1","DOIUrl":"10.1007/s00021-025-00997-1","url":null,"abstract":"<div><p>This paper studies the global existence of large perturbation solutions for the thin film growth model, a class of fourth-order nonlinear parabolic equations. The main purpose of this paper is to attempt to find an effective method to capture the enhanced dissipation mechanism generated by the fourth-order parabolic equation and the Couette flow in the full-space case through the Green’s function, thereby suppressing the blow-up of the solutions for the nonlinear parabolic equation and obtaining the overall existence of the solutions.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shallow Water Asymptotic Model of Equatorial Currents in Rotating Spherical Coordinates 旋转球坐标下赤道海流的浅水渐近模型
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-20 DOI: 10.1007/s00021-026-01000-1
WenLin Zhang, HuiYuan Zhang
{"title":"Shallow Water Asymptotic Model of Equatorial Currents in Rotating Spherical Coordinates","authors":"WenLin Zhang,&nbsp;HuiYuan Zhang","doi":"10.1007/s00021-026-01000-1","DOIUrl":"10.1007/s00021-026-01000-1","url":null,"abstract":"<div><p>Based on the nonlinear ocean vorticity equation derived by Constantin and Johnson (see [9]), this paper derives a vorticity equation incorporating variable eddy viscosity through the selection of appropriate parameters and suitable asymptotic approximations. The exact solution of the equatorial vorticity equation for the Pacific between <span>(160^{circ })</span>E and <span>(80^{circ })</span>W is provided, while a set of cubic functions is employed to describe the easterly jet stream above the thermocline <span>(z=-T)</span> in close proximity to the surface of the Equator, as well as the westerly strong jet stream near <span>(z=0)</span>. Moreover, we obtain the expression of the corresponding pressure field.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146026734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Class of Fluid-Structure Interaction Problems with Analytical Solutions for the Validation of Numerical Methods 一类流固耦合问题及其数值方法验证的解析解
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-16 DOI: 10.1007/s00021-025-00999-z
Yongxing Wang, Olivier Pironneau
{"title":"A Class of Fluid-Structure Interaction Problems with Analytical Solutions for the Validation of Numerical Methods","authors":"Yongxing Wang,&nbsp;Olivier Pironneau","doi":"10.1007/s00021-025-00999-z","DOIUrl":"10.1007/s00021-025-00999-z","url":null,"abstract":"<div><p>Analytical solutions to Fluid-Structure Interaction (FSI) problems are almost absent in the literature. However, they are crucial for validation and convergence analysis of numerical methods, as well as for providing insight into the complex coupling dynamics between fluids and solids. In this paper, we derive two analytical and one semi-analytical solutions for three FSI problems, spanning a class of solutions by varying their geometrical and physical parameters. All solutions exhibit complex nonlinear behaviours, which we compare with numerical simulations using a monolithic method. These three FSI problems are described in the cylindrical coordinates, drawing inspiration from Couette flow, with two of them featuring a moving fluid-solid interface and the third incorporating a nonlinear constitutive solid model. To the best of our knowledge, for the first time, we present FSI problems with analytical solutions that include a moving interface.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-025-00999-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145983215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Validity of Decoupled Kadomtsev-Petviashvili/ Zakharov-Kuznetsov Equations from Multi-Dimensional Euler-Poisson System 多维欧拉-泊松系统解耦Kadomtsev-Petviashvili/ Zakharov-Kuznetsov方程的有效性
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-14 DOI: 10.1007/s00021-025-00994-4
Yue Liu, Xiongfeng Yang
{"title":"The Validity of Decoupled Kadomtsev-Petviashvili/ Zakharov-Kuznetsov Equations from Multi-Dimensional Euler-Poisson System","authors":"Yue Liu,&nbsp;Xiongfeng Yang","doi":"10.1007/s00021-025-00994-4","DOIUrl":"10.1007/s00021-025-00994-4","url":null,"abstract":"<div><p>This paper investigates the long-wave asymptotic behavior of three-dimensional Euler-Poisson system describing cold ion plasmas, both in the unmagnetized case and in the case with a uniform magnetic field. Through an appropriate scaling which balances the nonlinearity and dispersion, we derive two decoupled Kadomtsev-Petviashvili (KP)/Zakharov-Kuznetsov (ZK) equations from the original system. A rigorous justification of the long-wave approximation is given by establishing uniform estimates of the difference between the solutions of Euler-Poisson system and a suitable constructed approximation profile. It demonstrates that solutions of Euler-Poisson system in unmagnetic case are well approximated by the two-way waves from the corresponding KP-II type equations, while the solutions of the system with magnetic field are convergent to the counter directional waves of the ZK equations.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145983073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mathematical Study of a New Navier-Stokes-alpha Model with Nonlinear Filter Equation - Part I 具有非线性滤波方程的新型Navier-Stokes-alpha模型的数学研究——第一部分
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-13 DOI: 10.1007/s00021-025-00998-0
Manuel Fernando Cortez, Oscar Jarrín
{"title":"Mathematical Study of a New Navier-Stokes-alpha Model with Nonlinear Filter Equation - Part I","authors":"Manuel Fernando Cortez,&nbsp;Oscar Jarrín","doi":"10.1007/s00021-025-00998-0","DOIUrl":"10.1007/s00021-025-00998-0","url":null,"abstract":"<div><p>This article is devoted to the mathematical study of a new Navier-Stokes-alpha model with a nonlinear filter equation. For a given indicator function, this filter equation was first considered by W. Layton, G. Rebholz, and C. Trenchea in [Modular Nonlinear Filter Stabilization of Methods for Higher Reynolds Numbers Flow, J. Math. Fluid Mech. 14: 325-354 (2012)] to select eddies for damping based on the understanding of how nonlinearity acts in real flow problems. Numerically, this nonlinear filter equation was applied to the nonlinear term in the Navier-Stokes equations to provide a precise analysis of numerical diffusion and error estimates. Mathematically, the resulting alpha-model is described by a doubly nonlinear parabolic-elliptic coupled system. We therefore undertake the first theoretical study of this system by considering periodic boundary conditions in the spatial variable. Specifically, we address the existence and uniqueness of weak Leray-type solutions, their rigorous convergence to weak Leray solutions of the classical Navier-Stokes equations, and their long-time dynamics through the concept of the global attractor and some upper bounds for its fractal dimension. Handling the nonlinear filter equation together with the well-known nonlinear transport term makes certain estimates delicate, particularly when deriving upper bounds on the fractal dimension. For the latter, we adapt techniques developed for hyperbolic-type equations.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dispersive Phenomena on the Hall-MHD System Around the Constant Equilibrium State in the General Dissipative Coefficients Case 一般耗散系数情况下Hall-MHD系统恒定平衡态周围的色散现象
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-13 DOI: 10.1007/s00021-025-00990-8
Mikihiro Fujii, Shunhang Zhang
{"title":"Dispersive Phenomena on the Hall-MHD System Around the Constant Equilibrium State in the General Dissipative Coefficients Case","authors":"Mikihiro Fujii,&nbsp;Shunhang Zhang","doi":"10.1007/s00021-025-00990-8","DOIUrl":"10.1007/s00021-025-00990-8","url":null,"abstract":"<div><p>We consider the incompressible Hall-MHD system on the 3D whole space. Then, it is known that the perturbed system around the constant equilibrium state exhibits a dispersive structure. However, this dispersion is so complicated that the results on the effect of dispersion are known only for the special case <span>(nu =mu )</span>, where the dispersive relation becomes simpler. Here <span>(nu )</span> and <span>(mu )</span> are viscosity and resistive coefficients respectively. The purpose of this paper is to improve the previous results and investigate the dispersive effect for the general case <span>(nu ne mu )</span> without complicated calculations. Consequently, we may obtain the global well-posedness and time-periodic solvability for <i>large</i> data in critical Besov spaces, provided that the size of the constant magnetic field is sufficiently large.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145982921","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global Well-Posedness of Surface Waves for the Compressible Euler Equations with Damping 带阻尼的可压缩欧拉方程表面波的全局适定性
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-07 DOI: 10.1007/s00021-025-00991-7
Jiali Lian
{"title":"Global Well-Posedness of Surface Waves for the Compressible Euler Equations with Damping","authors":"Jiali Lian","doi":"10.1007/s00021-025-00991-7","DOIUrl":"10.1007/s00021-025-00991-7","url":null,"abstract":"<div><p>We consider the free boundary problem for a layer of compressible barotropic fluid lying above a fixed bottom and below the atmosphere of positive constant pressure in the horizontally infinite setting. The fluid dynamics is governed by the compressible Euler equations with damping and gravity, and the effect of surface tension is neglected on the upper free boundary. We prove the global well-posedness of the problem near the equilibrium in both 2<i>D</i> and 3<i>D</i> and that the solution decays to the equilibrium at an algebraic rate.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145930613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Steadiness of Symmetric Solutions to Higher Order Perturbations of KdV 关于KdV高阶扰动对称解的稳定性
IF 1.3 3区 数学
Journal of Mathematical Fluid Mechanics Pub Date : 2026-01-05 DOI: 10.1007/s00021-025-00992-6
Long Pei, Fengyang Xiao, Pan Zhang
{"title":"On the Steadiness of Symmetric Solutions to Higher Order Perturbations of KdV","authors":"Long Pei,&nbsp;Fengyang Xiao,&nbsp;Pan Zhang","doi":"10.1007/s00021-025-00992-6","DOIUrl":"10.1007/s00021-025-00992-6","url":null,"abstract":"<div><p>We consider the traveling structure of symmetric solutions to the Rosenau-Kawahara-RLW equation and the perturbed R-KdV-RLW equation. Both equations are higher order perturbations of the classical KdV equation. For the Rosenau-Kawahara-RLW equation, we prove that classical and weak solutions with a priori symmetry must be traveling wave solutions. For the more complicated perturbed R-KdV-RLW equation, we classify all symmetric traveling solutions, and prove that there exists no nontrivial symmetric traveling solution of solitary type once dissipation or shoaling perturbations exist. This gives a new perspective for evaluating the suitability of a model for water waves. In addition, this result illustrates the sharpness of the symmetry principle in [Int. Math. Res. Not. IMRN, 2009; Ehrnstrom, Holden &amp; Raynaud] for solitary waves.</p></div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 1","pages":""},"PeriodicalIF":1.3,"publicationDate":"2026-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145929890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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