Journal of Mathematical Fluid Mechanics

Papers
(The median citation count of Journal of Mathematical Fluid Mechanics is 1. 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 2020-10-01 to 2024-10-01.)
ArticleCitations
The Shallow-Water Models with Cubic Nonlinearity15
Non-uniform Dependence on Initial Data for the Camassa–Holm Equation in the Critical Besov Space14
A Uniqueness Result for 3D Incompressible Fluid-Rigid Body Interaction Problem13
Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation13
Analytical Atmospheric Ekman-Type Solutions with Height-Dependent Eddy Viscosities12
Stability and Exponential Decay for the 2D Anisotropic Navier–Stokes Equations with Horizontal Dissipation11
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres11
On the Jordan–Moore–Gibson–Thompson Wave Equation in Hereditary Fluids with Quadratic Gradient Nonlinearity10
An Explicit Threshold for the Appearance of Lift on the Deck of a Bridge9
Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity9
Viscous Flow Around a Rigid Body Performing a Time-periodic Motion9
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces8
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate8
Perturbation Analysis for the Surface Deflection Angle of Ekman-Type Flows with Variable Eddy Viscosity8
Global Dynamics of 3-D Compressible Micropolar Fluids with Vacuum and Large Oscillations7
Dissipative Solutions to the Stochastic Euler Equations7
Refactorization of Cauchy’s Method: A Second-Order Partitioned Method for Fluid–Thick Structure Interaction Problems7
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a Simplified Isentropic Relativistic Euler Equations7
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces7
On the Local Pressure Expansion for the Navier–Stokes Equations7
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions7
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow6
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations6
Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory6
Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid6
On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations6
On a Non-conservative Compressible Two-Fluid Model in a Bounded Domain: Global Existence and Uniqueness6
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity6
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application6
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty6
Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current6
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces6
Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains6
Uniqueness of Dissipative Solutions to the Complete Euler System6
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization6
Uniqueness Result for the 3-D Navier–Stokes–Boussinesq Equations with Horizontal Dissipation6
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains6
Dissipative Solutions to Compressible Navier–Stokes Equations with General Inflow–Outflow Data: Existence, Stability and Weak Strong Uniqueness6
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion6
A Highly Nonlinear Shallow-Water Model Arising from the Full Water Waves with the Coriolis Effect5
Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions5
New Thought on Matsumura–Nishida Theory in the $$L_p$$–$$L_q$$ Maximal Regularity Framework5
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness5
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space5
Dissipation Properties of Transport Noise in the Two-Layer Quasi-geostrophic Model5
The Global Solvability of 3-D Inhomogeneous Viscous Incompressible Magnetohydrodynamic Equations with Bounded Density5
Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows5
Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space5
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains5
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System5
On Uniqueness and Helicity Conservation of Weak Solutions to the Electron-MHD System5
Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility5
Mathematical Modeling and Numerical Simulation of Atherosclerotic Plaque Progression Based on Fluid-Structure Interaction5
Dispersive Estimates for Full Dispersion KP Equations5
New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure5
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations5
On bounds for steady waves with negative vorticity4
On the Exponential Decay for Compressible Navier–Stokes–Korteweg Equations with a Drag Term4
Rigidity of Three-Dimensional Internal Waves with Constant Vorticity4
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion4
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System4
On Conditional Regularity for the MHD Equations via Partial Components4
Rotation Problem for a Two-Phase Drop4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions4
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term4
The 3D Time-Dependent Oseen System: Link Between $$L^p$$-Integrability in Time and Pointwise Decay in Space of the Velocity4
A Minimum Critical Blowup Rate for the High-Dimensional Navier–Stokes Equations4
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations4
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System4
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations4
Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System4
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws4
Discretely Self-Similar Solutions for 3D MHD Equations and Global Weak Solutions in Weighted $$L^2$$ Spaces4
A Single-Component BKM-Type Regularity Criterion for the Inviscid Axially Symmetric Hall-MHD System4
Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem4
Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations4
Loss of Regularity for the 2D Euler Equations4
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities4
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity4
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions4
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$3
Long Time Existence and Asymptotic Behavior of Solutions for the 2D Quasi-geostrophic Equation with Large Dispersive Forcing3
On the Bingham Flow in a Thin Y-Like Shaped Structure3
Mild Criticality Breaking for the Navier–Stokes Equations3
Compressible Fluids Interacting with Plates: Regularity and Weak-Strong Uniqueness3
On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle3
Large-Time Behavior of a Rigid Body of Arbitrary Shape in a Viscous Fluid Under the Action of Prescribed Forces and Torques3
Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow3
Dyadic models for ideal MHD3
Global Existence for an Attraction–Repulsion Chemotaxis-Fluid System in a Framework of Besov–Morrey type3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates3
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure3
A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations3
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space3
Locally Space-Time Anisotropic Regularity Criteria for the Navier–Stokes Equations in Terms of Two Vorticity Components3
Existence for a Quasi-Static Interaction Problem Between a Viscous Fluid and an Active Structure3
Semiflow Selection to Models of General Compressible Viscous Fluids3
Nonlinear Stability of the Inviscid Magnetic Bénard Problem3
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations3
A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations3
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions3
On the Energy Equality for Distributional Solutions to Navier–Stokes–Maxwell System3
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications3
Global Well-Posedness of the Ocean Primitive Equations with Nonlinear Thermodynamics3
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions3
Rayleigh–Taylor Instability for Viscous Incompressible Capillary Fluids3
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity3
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations3
On the Self-propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Boundary Data3
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation3
A Hopf Bifurcation in the Planar Navier–Stokes Equations2
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field2
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension2
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space2
On Vector Fields Describing the 2d Motion of a Rigid Body in a Viscous Fluid and Applications2
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl2
On Formation of Singularity for Full Compressible Navier–Stokes System with Zero Heat Conduction2
Steady Compressible Navier–Stokes–Fourier Equations with Dirichlet Boundary Condition for the Temperature2
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip2
Global Smooth Solutions of the Nernst–Planck–Darcy System2
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations2
Theoretical and Numerical Analysis of a Simple Model Derived from Compressible Turbulence2
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation2
Large-Time Behavior of Solutions in the Critical Spaces for the Non-isentropic Compressible Navier–Stokes Equations with Capillarity2
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions2
Instability of Unidirectional Flows for the 2D Navier–Stokes Equations and Related $$\alpha $$-Models2
Fully Localised Three-Dimensional Gravity-Capillary Solitary Waves on Water of Infinite Depth2
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport2
On Loops in Water Wave Branches and Monotonicity of Water Waves2
Instability of Boundary Layers with the Navier Boundary Condition2
Maximal Regularity for Compressible Two-Fluid System2
Global Continuous Sonic–Supersonic Flows in Two-Dimensional Semi-infinite Divergent Ducts2
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type2
Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity2
Non-conservative Solutions of the Euler-$$\alpha $$ Equations2
Time-Asymptotic Study of a Viscous Axisymmetric Fluid without Swirl2
Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure2
Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations II: Bifurcation and Stability2
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity2
Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows2
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect2
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity2
Symmetric Waves are Traveling Waves for the Rotation-Camassa–Holm Equation2
Navier–Stokes Equations in a Curved Thin Domain, Part II: Global Existence of a Strong Solution2
On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves2
Global Well-Posedness for the Navier–Stokes Equations with the Coriolis Force in Function Spaces Characterized by Semigroups2
On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous Justification2
Stability of Non-constant Equilibrium Solutions for the Full Compressible Navier–Stokes–Maxwell System2
Capillary Surfaces in Circular Cylinders2
On the Stokes System in Cylindrical Domains2
Variable Eddy Viscosities in the Atmospheric Boundary Layer from Ageostrophic Wind-Speed Profiles2
Global Well Posedness for a Q-tensor Model of Nematic Liquid Crystals2
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids2
Global Regularity for the Incompressible Oldroyd-B Model with Only Stress Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ Framework2
On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations2
Modified Reynolds Equation for Steady Flow Through a Curved Pipe2
On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD2
Exact Solutions Modelling Nonlinear Atmospheric Gravity Waves2
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation2
On the Field-Induced Transport of Magnetic Nanoparticles in Incompressible Flow: Existence of Global Solutions2
Non-Uniform Dependence on Initial Data for the Rotation-Camassa–Holm Equation1
Classical Solutions for 1D Compressible Euler Equations with Over Damping1
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines1
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations1
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model1
Global Well-Posedness and Decay Rates for the Three-Dimensional Compressible Phan-Thein–Tanner Model1
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour1
A Stabilized Finite Element Method for the Stokes-Stokes Coupling Interface Problem1
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media1
Limit of a Consistent Approximation to the Complete Compressible Euler System1
Uniqueness of Some Weak Solutions for 2D Viscous Primitive Equations1
Explicit Solutions to the 3D Incompressible Euler Equations in Lagrangian Formulation1
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain1
Exact Viscous Compressible Flow Describing the Dynamics of the Atmosphere1
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates1
Global Well-Posedness of 3d Axisymmetric MHD-Boussinesq System with Nonzero Swirl1
Optimal Control for the Navier–Stokes Equation with Time Delay in the Convection: Analysis and Finite Element Approximations1
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics1
Spatially Quasi-Periodic Solutions of the Euler Equation1
On the Global Existence for the Compressible Euler–Riesz System1
Existence of Steady Solutions for a Model for Micropolar Electrorheological Fluid Flows with Not Globally log-Hölder Continuous Shear Exponent1
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit1
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge1
Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity1
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model1
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets1
Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case1
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity1
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow1
Data Assimilation to the Primitive Equations with $$L^p$$-$$L^q$$-based Maximal Regularity Approach1
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models1
Hölder Regularity of Helicity for the Incompressible Flows1
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations1
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid1
Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations I: Linearized Analysis at Criticality1
An Existence Result for the Steady Rotating Prandtl Equation1
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$1
Locality of Vortex Stretching for the 3D Euler Equations1
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals1
Rate of the Enhanced Dissipation for the Two-jet Kolmogorov Type Flow on the Unit Sphere1
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model1
Two-Phase Compressible/Incompressible Navier–Stokes System with Inflow-Outflow Boundary Conditions1
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary1
The Navier–Stokes–Vlasov–Fokker–Planck System as a Scaling Limit of Particles in a Fluid1
Uniform Linear Inviscid Damping and Enhanced Dissipation Near Monotonic Shear Flows in High Reynolds Number Regime (I): The Whole Space Case1
Multiscale Rotating Vortex Patches for 2D Euler Flows in a Disk1
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities1
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case1
Wave Breaking for a Nonlinear Shallow Water Equation1
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$1
Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces1
Optimal Decay Rates for n-dimensional Generalized Magnetohydrodynamic Equations1
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations1
Resolvent Estimates for a Compressible Fluid Model of Korteweg Type and Their Application1
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations1
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution1
Blow-up Analysis for the $${\varvec{ab}}$$-Family of Equations1
Temporal Regularity of Symmetric Stochastic p-Stokes Systems1
On the Forced Surface Quasi-Geostrophic Equation: Existence of Steady States and Sharp Relaxation Rates1
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems1
Wave Breaking for the Constantin–Lannes Equation Revisited1
Global Controllability of the Navier–Stokes Equations in the Presence of Curved Boundary with No-Slip Conditions1
Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction1
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid1
Global Well-Posedness for Inhomogeneous Navier–Stokes Equations in Endpoint Critical Besov Spaces1
Analysis of a Sturm–Liouville Problem Arising in Atmosphere1
Strong Solution for 3D Compressible Liquid Crystal System with Random Force1
Global Large Solutions to the Compressible Navier–Stokes Equations in Critical Besov Space $$\dot{B}^{-1}_{\infty ,\infty }$$1
Forces for the Navier–Stokes Equations and the Koch and Tataru Theorem1
Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces1
Global Boundedness to a 3D Chemotaxis–Stokes System with Porous Medium Cell Diffusion and General Sensitivity Under Dirichlet Signal Boundary Condition1
Anomalous Energy Flux in Critical $$L^p$$-Based Spaces1
Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier–Stokes Equations1
Existence and Exponential Behavior for the Stochastic 2D Cahn–Hilliard–Oldroyd Model of Order One1
Global Existence and Blow-Up Phenomena for the Hunter-Saxton Equation on the Line1
Stability for the Magnetic Bénard System with Partial Dissipation1
A Route to Chaos in Rayleigh–Bénard Heat Convection1
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