OOIR: Observatory of International Research

Papers

(The TQCC of Archive for Rational Mechanics and Analysis is 6. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Lipschitz Bounds and Nonautonomous Integrals	63
Stability Near Hydrostatic Equilibrium to the 2D Boussinesq Equations Without Thermal Diffusion	44
Transition Threshold for the 2-D Couette Flow in a Finite Channel	32
On Traffic Flow with Nonlocal Flux: A Relaxation Representation	28
Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains	23
The Inviscid Limit for the Navier–Stokes Equations with Data Analytic Only Near the Boundary	23
Traveling Quasi-periodic Water Waves with Constant Vorticity	22
Thermoviscoelasticity in Kelvin–Voigt Rheology at Large Strains	20
Mean-Field Limits: From Particle Descriptions to Macroscopic Equations	19
Global Existence and the Decay of Solutions to the Prandtl System with Small Analytic Data	18
Analysis of the Viscosity of Dilute Suspensions Beyond Einstein’s Formula	18
Flocking Hydrodynamics with External Potentials	18
Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions	17
On the Diffusive-Mean Field Limit for Weakly Interacting Diffusions Exhibiting Phase Transitions	17
Positive Solutions of Transport Equations and Classical Nonuniqueness of Characteristic curves	16
The Nonexistence of Vortices for Rotating Bose–Einstein Condensates with Attractive Interactions	16
Structural Stability of Supersonic Solutions to the Euler–Poisson System	16
Anticipation Breeds Alignment	16
The Bernstein Technique for Integro-Differential Equations	16
Asymptotic Stability of Minkowski Space-Time with Non-compactly Supported Massless Vlasov Matter	15
Decay Estimates of Gradient of a Generalized Oseen Evolution Operator Arising from Time-Dependent Rigid Motions in Exterior Domains	15
Continued Gravitational Collapse for Newtonian Stars	15
Strong Convergence of the Vorticity for the 2D Euler Equations in the Inviscid Limit	15
Stability of Lamb Dipoles	15
A High-Frequency Homogenization Approach Near the Dirac Points in Bubbly Honeycomb Crystals	15

Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics	15
Bounded Solutions of Ideal MHD with Compact Support in Space-Time	15
Global Invertibility for Orientation-Preserving Sobolev Maps via Invertibility on or Near the Boundary	14
Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three	14
Nonlocal-to-Local Convergence of Cahn–Hilliard Equations: Neumann Boundary Conditions and Viscosity Terms	14
Steady Navier–Stokes Equations in Planar Domains with Obstacle and Explicit Bounds for Unique Solvability	14
Global Small Solutions of Heat Conductive Compressible Navier–Stokes Equations with Vacuum: Smallness on Scaling Invariant Quantity	14
Stratospheric Planetary Flows from the Perspective of the Euler Equation on a Rotating Sphere	14
Minkowski Inequalities via Nonlinear Potential Theory	13
Fluctuations Around a Homogenised Semilinear Random PDE	13
On the Serrin-Type Condition on One Velocity Component for the Navier–Stokes Equations	13
A Quantitative Description of Skyrmions in Ultrathin Ferromagnetic Films and Rigidity of Degree $$\pm \,1$$ Harmonic Maps from $${\mathbb {R}}^2$$ to $${\mathbb {S}}^2$$	13
Decay and Vanishing of some D-Solutions of the Navier–Stokes Equations	13
Renormalized Energy Between Vortices in Some Ginzburg–Landau Models on 2-Dimensional Riemannian Manifolds	12
Equilibrium Configurations for Epitaxially Strained Films and Material Voids in Three-Dimensional Linear Elasticity	12
Regularity Theory for Non-autonomous Partial Differential Equations Without Uhlenbeck Structure	12
Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow	12
Uniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets	12
Non uniform Rotating Vortices and Periodic Orbits for the Two-Dimensional Euler Equations	12
Nernst–Planck–Navier–Stokes Systems far from Equilibrium	12
Exact Constructions in the (Non-linear) Planar Theory of Elasticity: From Elastic Crystals to Nematic Elastomers	11
Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities	11
Nonlocal-Interaction Equation on Graphs: Gradient Flow Structure and Continuum Limit	11
On the Problem of Maximal $$L^q$$-regularity for Viscous Hamilton–Jacobi Equations	11
Gamma Calculus Beyond Villani and Explicit Convergence Estimates for Langevin Dynamics with Singular Potentials	11
Nonlinear Hyperbolic Waves in Relativistic Gases of Massive Particles with Synge Energy	11
Infinite-Dimensional Inverse Problems with Finite Measurements	11
Weak Solutions to the Muskat Problem with Surface Tension Via Optimal Transport	11
Hilbert Expansion of the Boltzmann Equation with Specular Boundary Condition in Half-Space	11
Almost Global Solutions to the Three-Dimensional Isentropic Inviscid Flows with Damping in a Physical Vacuum Around Barenlatt Solutions	11
On Global-in-x Stability of Blasius Profiles	10
Curvature-Driven Wrinkling of Thin Elastic Shells	10
Quasilinear Schrödinger Equations III: Large Data and Short Time	10
Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity	10
Stability and Instability of Self-Gravitating Relativistic Matter Distributions	10
On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations	10
Global Well-Posedness of 3-D Anisotropic Navier–Stokes System with Small Unidirectional Derivative	10
Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations	10
A Rigidity Property for the Novikov Equation and the Asymptotic Stability of Peakons	10
Complete Entropic Inequalities for Quantum Markov Chains	10
Shape Optimization of a Weighted Two-Phase Dirichlet Eigenvalue	10
On the Boundary Layer Equations with Phase Transition in the Kinetic Theory of Gases	9
Local Well-Posedness and Incompressible Limit of the Free-Boundary Problem in Compressible Elastodynamics	9
Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems	9
On the Energy Scaling Behaviour of a Singularly Perturbed Tartar Square	9
Derivation of von Kármán Plate Theory in the Framework of Three-Dimensional Viscoelasticity	9
Viscous Flow Past a Body Translating by Time-Periodic Motion with Zero Average	9
Long-time Asymptotics of the One-dimensional Damped Nonlinear Klein–Gordon Equation	9
A Hele-Shaw Limit Without Monotonicity	9
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data	9

Convergence of Viscosity Solutions of Generalized Contact Hamilton–Jacobi Equations	9
Crystallization to the Square Lattice for a Two-Body Potential	9
Anomalous Dissipation in Passive Scalar Transport	8
Interior Electroneutrality in Nernst–Planck–Navier–Stokes Systems	8
Existence and Asymptotic Behavior of Large Axisymmetric Solutions for Steady Navier–Stokes System in a Pipe	8
The Regularity of Minima for the Dirichlet Problem on BD	8
Stability of Multidimensional Thermoelastic Contact Discontinuities	8
Piecewise Smooth Stationary Euler Flows with Compact Support Via Overdetermined Boundary Problems	8
A Microscopic Model for a One Parameter Class of Fractional Laplacians with Dirichlet Boundary Conditions	8
Isodiametry, Variance, and Regular Simplices from Particle Interactions	8
Regularity for $$C^{1,\alpha }$$ Interface Transmission Problems	8
High Frequency Limit for a Chain of Harmonic Oscillators with a Point Langevin Thermostat	8
Improved Quantitative Regularity for the Navier–Stokes Equations in a Scale of Critical Spaces	8
Boyarsky–Meyers Estimate for Solutions to Zaremba Problem	8
Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints	8
Carleson Measure Estimates for the Green Function	8
Two-Dimensional Pseudosteady Flows Around a Sharp Corner	8
Symmetry and Multiplicity of Solutions in a Two-Dimensional Landau–de Gennes Model for Liquid Crystals	8
The Relativistic Quantum Boltzmann Equation Near Equilibrium	8
On the Incompressible Limit for the Compressible Free-Boundary Euler Equations with Surface Tension in the Case of a Liquid	8
Screening in the Finite-Temperature Reduced Hartree–Fock Model	8
Torus-like Solutions for the Landau-de Gennes Model. Part I: The Lyuksyutov Regime	7
Regularity of Stationary Boltzmann Equation in Convex Domains	7
Chazy-Type Asymptotics and Hyperbolic Scattering for the n-Body Problem	7
Global Schauder Estimates for the $$\mathbf {p}$$-Laplace System	7
Emergence of Rigid Polycrystals from Atomistic Systems with Heitmann–Radin Sticky Disk Energy	7
Nonlocal Traffic Models with General Kernels: Singular Limit, Entropy Admissibility, and Convergence Rate	7
Shape Derivative of the Dirichlet Energy for a Transmission Problem	7
Long Time Dynamics for Generalized Korteweg–de Vries and Benjamin–Ono Equations	7
Burst of Point Vortices and Non-uniqueness of 2D Euler Equations	7
Mean-Field Convergence of Point Vortices to the Incompressible Euler Equation with Vorticity in $$L^\infty $$	7
The Random Heat Equation in Dimensions Three and Higher: The Homogenization Viewpoint	7
Global $${L}_{p}$$ Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Nondivergence Form	7
Rigidity of a Non-elliptic Differential Inclusion Related to the Aviles–Giga Conjecture	7
Higher-Order Linearization and Regularity in Nonlinear Homogenization	7
Stationary Non-equilibrium Solutions for Coagulation Systems	6
Stability of Traveling Wave Solutions of Nonlinear Dispersive Equations of NLS Type	6
A New Approach to the Rayleigh–Taylor Instability	6
Partially Regular Weak Solutions of the Navier–Stokes Equations in $$\mathbb {R}^4 \times [0,\infty [$$	6
Local Well-Posedness of Free-Boundary Incompressible Elastodynamics with Surface Tension via Vanishing Viscosity Limit	6
A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws	6
Bifurcation of Symmetric Domain Walls for the Bénard–Rayleigh Convection Problem	6
Rates of Convergence to Non-degenerate Asymptotic Profiles for Fast Diffusion via Energy Methods	6
Gravitational Collapse for Polytropic Gaseous Stars: Self-Similar Solutions	6
Stabilization of the Linearized Water Tank System	6
Periodic Solutions of Symmetric Hamiltonian Systems	6
Master Equation for the Finite State Space Planning Problem	6
Characterization of Minimizers of Aviles–Giga Functionals in Special Domains	6
Building Kohn–Sham Potentials for Ground and Excited States	6
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics	6
A Unified Model for Stress-Driven Rearrangement Instabilities	6
From Steklov to Neumann via homogenisation	6
On a Range of Exponents for Absence of Lavrentiev Phenomenon for Double Phase Functionals	6
Nonexistence of Subcritical Solitary Waves	6
On the Stability of Laminar Flows Between Plates	6
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise	6
Linear Vortex Symmetrization: The Spectral Density Function	6