OOIR: Observatory of International Research

Papers

(The TQCC of Studies in Applied Mathematics 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 2021-02-01 to 2025-02-01.)

Article	Citations
Wave–current interaction on a free surface	71
The coupled Hirota equations with a 3×3$3\times 3$ Lax pair: Painlevé‐type asymptotics in transition zone	54
Classification of spatial dynamics of a vector–host epidemic model in advective heterogeneous environment	44
Global dynamics and spatiotemporal patterns of a two‐species chemotaxis system with chemical signaling loop and Lotka–Volterra competition	38
Riemann–Hilbert method to the Ablowitz–Ladik equation: Higher‐order cases	33
Issue Information‐TOC	32
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Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain	25
Emergence of Well‐Ordering and Clustering for a First‐Order Nonlinear Consensus Model	23
Accuracy of slender body theory in approximating force exerted by thin fiber on viscous fluid	22
On the linearized system of equations for the condensate–normal fluid interaction at very low temperature	20
Issue Information‐TOC	19
Optimal quarantine‐related strategies for COVID‐19 control models	19
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On the variation of bi‐periodic waves in the transverse direction	18
Issue Information‐TOC	18
The classical Neumann problem for a class of mixed Hessian equations	16
Can a ground‐based vehicle hear the shape of a room?	15
Success probability for selectively neutral invading species in the line model with a random fitness landscape	15
A mean‐field approach for the asymptotic tracking problem of moving continuum target clouds	13
Near‐optimal control of a stochastic model for mountain pine beetles with pesticide application	13
Steady Boussinesq convection: Parametric analyticity and computation	13
Long‐time asymptotic behavior of the fifth‐order modified KdV equation in low regularity spaces	13
Hamiltonian shocks	12
Predator–prey model with sigmoid functional response	12

Large‐time asymptotics to the focusing nonlocal modified Kortweg‐de Vries equation with step‐like boundary conditions	12
Issue Information‐TOC	11
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Solitary waves in a Whitham equation with small surface tension	10
Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation	10
Differential, difference, and asymptotic relations for Pollaczek–Jacobi type orthogonal polynomials and their Hankel determinants	9
Multiloop soliton solutions and compound WKI–SP hierarchy	9
Spot patterns in the 2‐D Schnakenberg model with localized heterogeneities	9
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Issue Information‐TOC	9
Soliton interactions and Yang–Baxter maps for the complex coupled short‐pulse equation	8
Global nonlinear stability of longitudinal wave for the planar motion of elastic string with linear Hooke's law	8
On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential	8
Higher dimensional generalization of the Benjamin‐Ono equation: 2D case	8
Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm	8
An asymptotic expansion of eigenpolynomials for a class of linear differential operators	8
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Integrability and solvability of polynomial Liénard differential systems	7
Asymptotic profiles of a spatial vector‐borne disease model with Fokker–Planck‐type diffusion	7
Rogue wave patterns associated with Okamoto polynomial hierarchies	7
Whitham modulation theory and the classification of solutions to the Riemann problem of the Fokas–Lenells equation	7
Traveling waves, blow‐up, and extinction in the Fisher–Stefan model	7
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations	7
Hydrodynamics of a discrete conservation law	7
Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory	7
Stability in distribution for age‐structured HIV model with delay and driven by Ornstein–Uhlenbeck process	7
Distance distributions and inverse problems for metric measure spaces	7
Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation	7
On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation	6
KP reductions and various soliton solutions to the Fokas–Lenells equation under nonzero boundary condition	6
Issue Information‐TOC	6
Stability of Standing Periodic Waves in the Massive Thirring Model	6
Stability of bound states for regularized nonlinear Schrödinger equations	6
On blowups of vorticity for the homogeneous Euler equation	6
Multidimensional conservation laws and integrable systems II	6
Weak long‐range diffusion	6
Dynamics of a Memory‐Based Diffusion Model With Maturation Delay and Spatial Heterogeneity	6
A vorticity wave packet breaking within a rapidly rotating vortex. Part I: The critical layer flow	5
Uniform error estimates for the random batch method to the first‐order consensus models with antisymmetric interaction kernels	5
Ocean‐depth measurement using shallow‐water wave models	5
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint	5
Issue Information‐TOC	5
Preface: Nonlinear waves in honor of Harvey Segur on the occasion of his 80th birthday	5
On the existence, uniqueness, and stability of periodic waves for the fractional Benjamin–Bona–Mahony equation	5
Nonuniform laminated beam of Lord–Shulman type	5
Self‐contained two‐layer shallow‐water theory of strong internal bores	5
On an averaged model for immiscible two‐phase flow with surface tension and dynamic contact angle in a thin strip	5
Issue Information‐TOC	5

Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators	5
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function	5
Issue Information‐TOC	5
Asymptotic behavior of the porous elastic system with dual phase lag model: Classical versus second spectrum perspectives	4
The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics	4
Uniform (very) sharp bounds for ratios of parabolic cylinder functions	4
On the existence and regularity of solutions of semihyperbolic patches to 2‐D Euler equations with van der Waals gas	4
Dynamics of 2D fluid in bounded domain via conformal variables	4
Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates	4
A boundary layer problem in nonflat domains with measurable viscous coefficients	4
Properties of given and detected unbounded solutions to a class of chemotaxis models	4
Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons	4
Matrix exceptional Laguerre polynomials	4
Well‐posedness and control in a hyperbolic–parabolic parasitoid–parasite system	4
Dispersive Riemann problems for the Benjamin–Bona–Mahony equation	4
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Traveling wave solutions in a model for social outbursts in a tension‐inhibitive regime	4
Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces	4
Issue Information‐TOC	3
On the three‐dimensional consistency of Hirota's discrete Korteweg‐de Vries equation	3
Whitham modulation theory for the Zakharov–Kuznetsov equation and stability analysis of its periodic traveling wave solutions	3
Superharmonic instability of stokes waves	3
Windowed Green function method for wave scattering by periodic arrays of 2D obstacles	3
Hölder stability and uniqueness for the mean field games system via Carleman estimates	3
Two‐phase magma flow with phase exchange: Part I. Physical modeling of a volcanic conduit	3
Revivals, or the Talbot effect, for the Airy equation	3
Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system	3
On the emergent behavior of the swarming models on the complex sphere	3
Asymptotic spatial behavior for the heat equation on noncompact regions	3
The Riemann–Hilbert approach for the integrable fractional Fokas–Lenells equation	3
Spatiotemporal patterns in a diffusive predator–prey system with nonlocal intraspecific prey competition	3
Lump chains in the KP‐I equation	3
A Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersions	3
Inversion of the two‐data circular Radon transform centered on a curve on C(R2)${\cal C}(\mathbf {R}^2)$	3
Pitchfork bifurcation along a slow parameter ramp: Coherent structures in the critical scaling	3
Asymptotics of polynomials orthogonal with respect to a generalized Freud weight with application to special function solutions of Painlevé‐IV	3
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Geometrical correspondence of the Miura transformation induced from affine Kac–Moody algebras	3
Riemann–Hilbert approach for discrete sine‐Gordon equation with simple and double poles	3
On the dynamics of an epidemic patch model with mass‐action transmission mechanism and asymmetric dispersal patterns	3
Mathematical topics in compressible flows from single‐phase systems to two‐phase averaged systems	3
Group classification and analytical solutions of a radially symmetric avascular cancer model	3
From primary HPV infection to carcinoma in situ: A mathematical approach to cervical intraepithelial neoplasia	3
Two‐dimensional Riemann problem of the Euler equations to the Van der Waals gas around a sharp corner	3