OOIR: Observatory of International Research

Papers

(The TQCC of Asymptotic Analysis 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 2021-08-01 to 2025-08-01.)

Article	Citations
Bound states of weakly deformed soft waveguides	8
Spectral gaps in a double-periodic perforated Neumann waveguide	6
Asymptotic expansion for the solution of a convection-diffusion problem in a thin graph-like junction	6
Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity	6
Normalized solutions of quasilinear Schrödinger equations with a general nonlinearity	5
Rayleigh and Stoneley waves in linear elasticity	5
On Small Deviations of Exponential Functional of Brownian Motion With Applications	4
Asymptotic Behavior of Nonlocal Semilinear Degenerate Heat Equations With Degenerate Memory	4
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes	4
Existence of quasilinear elliptic equations with prescribed limiting behavior	3
Global Regularity for the Inviscid Micropolar-Rayleigh-Bénard Convection System With Nonlinear Thermal Diffusion	3
On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity	3
Recovery of a general nonlinearity in the semilinear wave equation	3
Dynamics of a ratio-dependent three-species food-chain system in a random environment	2
On the weak Harnack inequality for the parabolic p(x)-Laplacian	2
Rigorous derivation of the Fick cross-diffusion system from the multi-species Boltzmann equation in the diffusive scaling	2
Behaviour of large eigenvalues for the asymmetric quantum Rabi model	2
Existence and Finite Dimension of a Global Attractor for a Kirchhoff Wave Equation With a Memory Term and a Weak Damping	2
Magnetic Kirchhoff–Schrödinger equations with critical exponential growth and indefinite potential in R2	2
Asymptotic stability of stationary solutions for the Kirchhoff equation	2
Exponential Stabilization of an Euler-Bernoulli Beam by a Heat Equation Involving Memory Effects	2
Singular behavior for a multi-parameter periodic Dirichlet problem	2
Topological sensitivity analysis for the 3D nonlinear Navier–Stokes equations	2
Asymptotic behavior of solutions toward the rarefaction waves to the Cauchy problem for the generalized Benjamin–Bona–Mahony–Burgers equation with dissipative term	2
Pointwise Stabilization in the Laminated Beam Model	2

Revisiting Microlocal Analysis: A Bridge Between Fractal Cohomology and Classical Function Spaces	2
Homogenization of a stochastic model of a single phase flow in partially fissured media	2
Multiplicity and Concentration Results for Some Fractional Double Phase Choquard Equation with Exponential Growth	2
Cahn–Hilliard system with proliferation term	2
Global existence and blow-up of solutions for mixed local and nonlocal hyperbolic equations	2
Existence and multiplicity of multi-bump solutions for the double phase Kirchhoff problems with convolution term in RN	2
Upscaled Equations for the Fokker–Planck Diffusion Through Arrays of Permeable and of Impermeable Inclusions	2
Stability for 2D Incompressible MHD Equations With Vertical Magnetic Dissipation and Vertical Velocity Damping Term	2
Arched beams of Bresse type: New thermal couplings and pattern of stability	2
Feeling boundary by Brownian motion in a ball	2
Approximate kink-kink solutions for the ϕ 6 model in the low-speed limit	1
Time decay for several porous thermoviscoelastic systems of Moore–Gibson–Thompson type	1
Collective motion driven by nutrient consumption	1
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations	1
Dimension Reduction and Error Estimates	1
Strongly compact strong trajectory attractors for evolutionary systems and their applications	1
Stabilization for the Klein–Gordon–Zakharov system	1
Improved Error Bounds for Approximations of High-Frequency Wave Propagation in Nonlinear Dispersive Media	1
Uniqueness for active scalar equations in a Zygmund space	1
Well-Posedness and Long-Time Dynamics of a Water-Waves Model With Time-Varying Boundary Delay	1
Sharp eigenvalue asymptotics of fourth-order differential operators	1
On upper semicontinuity of the Allen–Cahn twisted eigenvalues	1
Topological asymptotic expansion for the full Navier–Stokes equations	1
Dynamics for a class of energy beam models with rotational forces	1
The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation	1
Solvability of the Nonlinear Plate Equations in Besov Spaces	1
Inverse resonance scattering for massless Dirac operators on the real line	1
Coupled local/nonlocal models in thin domains	1
A strong maximum principle for mixed local and nonlocal p-Laplace equations	1
On the semi-classical analysis of Schrödinger operators with linear electric potentials on a bounded domain	1
Normalized Solutions to the Mixed Fractional Schrödinger Equations With Potential and General Nonlinear Term	1
Global well-posedness and L 2 decay estimate of smooth solutions for the 3-D incompressible Navier–Stokes–Allen–Cahn system	1
Error estimates for Gaussian beams at a fold caustic	1
Growth of holomorphic curves with radially distributed hypersurfaces and uniqueness of holomorphic curves in angular domain	1
On the closedness and self-adjointness of 3×3 operator matrices and application to a non-relativistic three-channel potential scattering model	1
Non-trivial solutions for the fractional Schrödinger–Poisson system with p-Laplacian	1
Homogenization of a nonlinear elliptic system with a transport term in L2	1
Existence and asymptotics of ground states to the nonlinear Dirac equation with Coulomb potential	1
Global Existence of a Weak Martingale Solution to a Stochastic Nonlocal Cahn–Hilliard–Navier–Stokes Model	1
Approximation diffusion for the Nonlinear Schrödinger equation with a random potential	1
Semi-Classical Green Functions and Lagrangian Intersection. Applications to the Propagation of Bessel Beams in Non-Homogeneous Media	1
Least-energy nodal solutions of nonlinear equations with fractional Orlicz–Sobolev spaces	1
N-Laplacian Coupled Systems With Stein–Weiss Type Convolutions Parts: Existence of Solutions, Asymptotic Behavior and Regularity	1
W 0 1 , p ( Ω ) × W 0 1 , p ( Ω ) versus C 0 1 ( Ω ) × C 0 1 ( Ω ) local minimizers	1
Thin ferromagnetic plates with magnetostriction	1
A note on the one-dimensional critical points of the Ambrosio–Tortorelli functional	1
Rigidity and nonexistence of complete hypersurfaces via Liouville type results and other maximum principles, with applications to entire graphs	1
Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension	1
Asymptotic of the dissipative eigenvalues of Maxwell’s equations	1
Stability and optimal decay rates for abstract systems with thermal damping of Cattaneo’s type	1

An optimal control problem for diffusion–precipitation model	1
New asymptotic expansion formula via Malliavin calculus and its application to rough differential equation driven by fractional Brownian motion	1
Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions	1
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow	1
Regularity and Long-Time Behavior of Global Weak Solutions to a Coupled Cahn–Hilliard System: The Off-Critical Case	1
Comparison between the Cauchy problem and the scattering problem for the Landau damping in the Vlasov-HMF equation	1
Haim Brezis (1944–2024)	1
Approximate mixed synchronization by groups for a coupled system of wave equations	1