Journal of Mathematical Fluid Mechanics

Papers
(The TQCC of Journal of Mathematical Fluid Mechanics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)
ArticleCitations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations20
On bounds for steady waves with negative vorticity17
Weighted Energy Estimates for the Incompressible Navier–Stokes Equations and Applications to Axisymmetric Solutions Without Swirl14
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction14
Dissipative Solutions to the Stochastic Euler Equations11
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls10
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions9
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations9
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres9
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain8
A 2D Model for Heat Transport in a Hele–Shaw Geometry8
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law8
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations8
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions7
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations7
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport7
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces7
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application7
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system7
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization7
Limit of a Consistent Approximation to the Complete Compressible Euler System7
On the Bingham Flow in a Thin Y-Like Shaped Structure7
The Shallow-Water Models with Cubic Nonlinearity6
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$6
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field6
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle6
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$6
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid6
Wave Breaking for the Constantin–Lannes Equation Revisited6
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term6
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals6
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure6
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions5
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model5
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models5
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity5
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes5
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation5
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall5
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions5
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions5
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity5
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems5
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains5
On Isolated Singularities for the Stationary Navier–Stokes System5
Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method5
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$5
On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD5
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow5
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space4
Existence Theorems for the Steady-State Navier–Stokes Equations with Nonhomogeneous Slip Boundary Conditions in Two-dimensional Multiply-Connected Bounded Domains4
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity4
Uniqueness of Dissipative Solutions to the Complete Euler System4
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space4
Boundary Regularity for the Steady Generalized Newtonian Flow with Shear Thickening Viscosity4
On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers4
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour4
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws4
On Formation of Singularity for Full Compressible Navier–Stokes System with Zero Heat Conduction4
Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law4
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions4
The MHD Equations in the Lorentz Space With Time Dependent External Forces4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations4
Stability of Weak Electrokinetic Flow4
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid4
On a Sea-Breeze Flow Mathematical Model in Troposphere4
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids4
Variable Eddy Viscosities in the Atmospheric Boundary Layer from Ageostrophic Wind-Speed Profiles4
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate4
On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations4
Remark on the Local Well-Posedness of Compressible Non-Newtonian Fluids with Initial Vacuum4
Non-conservative Solutions of the Euler-$$\alpha $$ Equations3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions3
Probabilistic Descriptions of Fluid Flow: A Survey3
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type3
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution3
The Stability and Decay for the 2D Incompressible Euler-Like Equations3
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity3
On the Stokes System in Cylindrical Domains3
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity3
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow3
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions3
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations3
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow3
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations3
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application3
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets3
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations3
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations3
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations3
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity3
Classical Solutions for 1D Compressible Euler Equations with Over Damping3
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip3
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity3
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations3
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations3
On Evolution of Corner-Like gSQG Patches3
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations3
Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure3
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