Journal of Mathematical Fluid Mechanics最新文献

Error Estimates for a Finite Element Approximation of a Generalized Viscoelastic Flow Model 广义粘弹性流动模型有限元近似的误差估计

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-10-14 DOI: 10.1007/s00021-026-01063-0

Yingwen Guo, Mengmeng Liu, Wenlin Qiu, Xiangcheng Zheng

引用次数: 0

Optimal Decay Rate to the Viscous Contact Discontinuity for the System of Heat-Conductive Ideal Gas Without Viscosity 无粘性导热理想气体系统粘性接触不连续的最佳衰减率

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-10-08 DOI: 10.1007/s00021-026-01062-1

Guiqiong Gong, Lin He

引用次数: 0

On the Exchange of Stability for the Subcritical Laminar Flow 亚临界层流的稳定性交换

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-10-06 DOI: 10.1007/s00021-026-01059-w

Vladimir Kozlov, Oleg Motygin

{"title":"On the Exchange of Stability for the Subcritical Laminar Flow","authors":"Vladimir Kozlov, Oleg Motygin","doi":"10.1007/s00021-026-01059-w","DOIUrl":"10.1007/s00021-026-01059-w","url":null,"abstract":"<div>We consider steady water waves in a two-dimensional channel bounded below by a flat, rigid bottom and above by a free surface. Surface tension is neglected, and the flow is rotational with constant vorticity a. We analyze an analytic branch of Stokes waves bifurcating from a subcritical laminar flow, with the wave period serving as the bifurcation parameter. Along this branch, the first eigenvalue of the Fréchet derivative remains negative. Our main focus is the second eigenvalue; its sign plays a crucial role in the analysis of subharmonic bifurcations. This small eigenvalue determines the validity of the principle of exchange of stabilities: a positive sign confirms it, while a negative sign indicates its violation. Furthermore, a positive second eigenvalue corresponds to an increasing period along the bifurcation curve near the critical point, whereas a negative sign implies period decrease. We investigate how the sign of the second eigenvalue depends on the Bernoulli constant R (equivalently, the laminar flow depth d) and the vorticity a. We show that for each a there exists a critical depth (d_0(a)) such that the second eigenvalue is positive for (d<d_0(a)) and negative for (d>d_0(a)). In the laminar flow, a stagnation point forms when the depth exceeds a threshold (d_{text {s}}(a)). We demonstrate that (d_0(a) < d_{text {s}}(a)) for (a > a_0 approx -1.01803), whereas (d_0(a) > d_{text {s}}(a)) for (a < a_0). We also verify the property of formal stability by a description of the domain in (a, d) variables, where this property holds. Numerical illustrations of these properties are presented in the paper.</div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132420","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

Local-in-Time Existence of Strong Solutions to a Class of Compressible Power-Law Flows 一类可压缩幂律流强解的局部存在性

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-29 DOI: 10.1007/s00021-026-01058-x

Fang Li, Chang Mengge, Guo Zhenhua

引用次数: 0

On Bridging Analyticity and Sparseness in Hyperdissipative Navier–Stokes Systems 超耗散Navier-Stokes系统的桥接解析性和稀疏性

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-28 DOI: 10.1007/s00021-026-01054-1

Moses Patson Phiri

{"title":"On Bridging Analyticity and Sparseness in Hyperdissipative Navier–Stokes Systems","authors":"Moses Patson Phiri","doi":"10.1007/s00021-026-01054-1","DOIUrl":"10.1007/s00021-026-01054-1","url":null,"abstract":"<div>We study the three-dimensional hyperdissipative Navier–Stokes system in the super-critical regime (below the Lions threshold). Leveraging the analyticity–sparseness gap in the case where the ratios of the lower-order derivatives with respect to the higher-order derivatives are bounded by constants, we introduce time-weighted bridge inequalities quantifying these ratios across all derivative levels. On one hand, the time weights are chosen in a way that the resulting lower bound on the radius of spatial analyticity still dominates the scale of sparseness of the super-level sets indicating that the flow entered the dissipation regime. On the other hand, they provide a less restrictive environment for the ratios giving the construction more flexibility. As an illustration of its utility, it is shown that – together with a harmonic-measure contraction on one-dimensional sparse sets – this mechanism rules out a more general class of the blow-up scenarios compared to the previous work by Farhat and Grujić (essentially a perturbation of the multidimensional geometric series).</div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-026-01054-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149133094","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

Multilayered Fluid–Structure Interactions: Existence of Weak Solutions For Time-Periodic and Initial-Value Problems 多层流固相互作用：时间周期和初值问题弱解的存在性

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-26 DOI: 10.1007/s00021-026-01057-y

Claudiu Mîndrilă, Arnab Roy

{"title":"Multilayered Fluid–Structure Interactions: Existence of Weak Solutions For Time-Periodic and Initial-Value Problems","authors":"Claudiu Mîndrilă, Arnab Roy","doi":"10.1007/s00021-026-01057-y","DOIUrl":"10.1007/s00021-026-01057-y","url":null,"abstract":"<div>We establish the existence of weak solutions for a class of fully coupled multilayered fluid–structure interaction systems in a three-dimensional spatial setting. The model consists of an incompressible viscous fluid interacting with a thin elastic shell, which is in turn coupled to a three-dimensional elastic solid, yielding a nonstandard 3D/2D/3D coupling configuration. The system is driven by time-periodic boundary forcing through Bernoulli-type pressure conditions. For sufficiently small forcing in (L^2), we prove the existence of at least one time-periodic weak solution. A central analytical difficulty stems from the strong nonlinear coupling across interfaces of different dimensionality and the absence of classical compactness mechanisms. This challenge is overcome through a carefully designed energy framework combined with and new (L^{2}) compactness arguments adapted to the multilayered geometry. A key structural assumption is the viscoelasticity of the three-dimensional solid, which yields additional diffusion estimates and ensures energy stability. In the purely elastic case, we establish the global-in-time existence of weak solutions to the corresponding initial-value problem, provided that no degeneration (self-contact) of the fluid domain occurs. These results extend existing theories for two-dimensional and reduced-dimensional configurations to a genuinely three-dimensional multilayered setting, providing new analytical insight into complex coupled PDE systems arising in fluid–structure interaction.</div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149132582","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

Existence, Uniqueness, and Localization Results for a Dirichlet Problem in Geophysics 地球物理学中Dirichlet问题的存在性、唯一性和局部化结果

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-26 DOI: 10.1007/s00021-026-01061-2

Radu Precup, Andrei Stan

{"title":"Existence, Uniqueness, and Localization Results for a Dirichlet Problem in Geophysics","authors":"Radu Precup, Andrei Stan","doi":"10.1007/s00021-026-01061-2","DOIUrl":"10.1007/s00021-026-01061-2","url":null,"abstract":"<div>In the present paper, we investigate the existence, uniqueness, and localization of solutions for a recently derived model for gyres, formulated as a Dirichlet problem. This problem is studied from two perspectives. In the first part, we establish the existence and uniqueness of a weak solution by means of the Minty–Browder theorem. For the nonlinear term, we assume a suitable monotonicity condition together with an exponential growth condition. Here, the growth condition is admissible since the problem is posed in dimension two, which allows us to use the Trudinger–Moser inequality. In the second part, we prove the existence of a localized positive solution within a conical annular region by means of the Moser–Harnack inequality. This approach also yields multiplicity results when the required conditions are satisfied on disjoint sets. From a physical perspective, an upper bound for the solution reflects the dynamical intensity of the flow, while a lower bound indicates the persistence of ocean circulation in a given region. These bounds are determined by the behavior of the vorticity function.</div>","PeriodicalId":649,"journal":{"name":"Journal of Mathematical Fluid Mechanics","volume":"28 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2026-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00021-026-01061-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149035363","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 Large Deviation Principle for the Stochastic 3D Primitive Equations with Transport Noise 含输运噪声的三维随机原始方程的大偏差原理

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-26 DOI: 10.1007/s00021-026-01048-z

Antonio Agresti, Esmée Theewis

引用次数: 0

The Local Least Action Criterion Fails as a Selection Criterion for Weak Solutions of the Compressible Euler Equations 局部最小作用准则不能作为可压缩欧拉方程弱解的选择准则

IF 1.5 3区数学

Journal of Mathematical Fluid Mechanics Pub Date : 2026-09-14 DOI: 10.1007/s00021-026-01051-4

Simon Markfelder, Valentin Pellhammer

引用次数: 0

Steady Vortex Sheets in Presence of Surface Tension 存在表面张力的稳定涡旋片。