OOIR: Observatory of International Research

Papers

(The TQCC of Applied Mathematics and Optimization 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 2020-11-01 to 2024-11-01.)

Article	Citations
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces	23
First-Order Shape Derivative of the Energy for Elastic Plates with Rigid Inclusions and Interfacial Cracks	17
On the Global Convergence of Particle Swarm Optimization Methods	17
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	16
Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One	16
Stochastic Graphon Games: II. The Linear-Quadratic Case	15
A Double Phase Problem Involving Hardy Potentials	15
Strong Averaging Principle for Two-Time-Scale Stochastic McKean-Vlasov Equations	14
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	14
Suitable Spaces for Shape Optimization	13
A General Stochastic Maximum Principle for Mean-Field Controls with Regime Switching	13
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	12
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square	10
Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space	10
A Coefficient Inverse Problem for the Mean Field Games System	9
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	9
Continuous-Time Mean Field Games with Finite State Space and Common Noise	9
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian	9
Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic Evolution Equations	9
An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation	9
Navier–Stokes Regularity Criteria in Vishik Spaces	8
Teamwise Mean Field Competitions	8
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	8
On the Weak Stationarity Conditions for Mathematical Programs with Cardinality Constraints: A Unified Approach	8
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	8

Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	8
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	7
Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces	7
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	7
Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation	7
Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection	7
Mixed Linear Quadratic Stochastic Differential Leader-Follower Game with Input Constraint	7
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains	7
A Modified MSA for Stochastic Control Problems	7
Theory of Solutions for an Inextensible Cantilever	6
Singular Limit Dynamics and Attractors for Wave Equations Connected in Parallel	6
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System	6
Parameter Estimation of an Epidemic Model with State Constraints	6
On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	6
Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic Partial Differential Equations	6
Mean-Field Selective Optimal Control via Transient Leadership	6
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	6
Existence and Non-existence of Global Solutions for a Nonlocal Choquard–Kirchhoff Diffusion Equations in $$\mathbb {R}^{N}$$	6
Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations	6
Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems	6
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	5
Fluid–Structure Interaction with Kelvin–Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay	5
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	5
Low Perturbations and Combined Effects of Critical and Singular Nonlinearities in Kirchhoff Problems	5
Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear Hilfer Fractional Evolution Inclusions	5
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	5
Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms	5
Random Evolution Equations: Well-Posedness, Asymptotics, and Applications to Graphs	5
Policy Iteration Method for Time-Dependent Mean Field Games Systems with Non-separable Hamiltonians	5
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	5
Distributed Optimal Control of the 2D Cahn–Hilliard–Oberbeck–Boussinesq System for Nonisothermal Viscous Two-Phase Flows	5
On Numerical Approaches for Solving an Inverse Cauchy Stokes Problem	5
Numerical Shape Optimization Among Convex Sets	5
Weak Convergence Rates for Spatial Spectral Galerkin Approximations of Semilinear Stochastic Wave Equations with Multiplicative Noise	5
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	5
Sensitivity Analysis of Value Functional of Fractional Optimal Control Problem with Application to Feedback Construction of Near Optimal Controls	5
Optimal Distributed Control of a Allen–Cahn/Cahn–Hilliard System with Temperature	5
An Eikonal Equation with Vanishing Lagrangian Arising in Global Optimization	4
On the Maximum Principle for Optimal Control Problems of Stochastic Volterra Integral Equations with Delay	4
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	4
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	4
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	4
Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions	4
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators	4
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations	4
BV Solutions of a Convex Sweeping Process with Local Conditions in the Sense of Differential Measures	4
Stability for Semilinear Parabolic Optimal Control Problems with Respect to Initial Data	4
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	4
Long-Time Behavior of a Nonlinearly-Damped Three-Layer Rao–Nakra Sandwich Beam	4

Stochastic Dynamic Programming with Non-linear Discounting	4
Social Optima of Backward Linear-Quadratic-Gaussian Mean-Field Teams	4
Discrete Subdiffusion Equations with Memory	4
Asymptotic Regularity and Attractors for Slightly Compressible Brinkman–Forchheimer Equations	4
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	4
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	4
Strong Attractors for the Structurally Damped Kirchhoff Wave Models with Subcritical-Critical Nonlinearities	4
Robustness of Global Attractors for Extensible Coupled Suspension Bridge Equations with Fractional Damping	4
A General Stability Result for a Viscoelastic Moore–Gibson–Thompson Equation in the Whole Space	4
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	4
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	4
SIR Dynamics with Vaccination in a Large Configuration Model	4
Mixed Noise Removal Framework Using a Nonlinear Fourth-Order PDE-Based Model	4
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
Exact Controllability of the Wave Equation on Graphs	3
Convergence of Discrete-Time Deterministic Games to Path-Dependent Isaacs Partial Differential Equations Under Quadratic Growth Conditions	3
Global Attractor for a Coupled Wave and Plate Equation with Nonlocal Weak Damping on Riemannian Manifolds	3
The Stochastic Linear Quadratic Optimal Control Problem on Hilbert Spaces: The Case of Non-analytic Systems	3
Viscosity Solutions of Hamilton–Jacobi Equations for Neutral-Type Systems	3
Stochastic 3D Globally Modified Navier–Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations	3
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian	3
Optimal Control of Mean Field Equations with Monotone Coefficients and Applications in Neuroscience	3
Convergence Results of a New Monotone Inertial Forward–Backward Splitting Algorithm Under the Local Hölder Error Bound Condition	3
Optimal Control of the Principal Coefficient in a Scalar Wave Equation	3
Error Estimates for Fractional Semilinear Optimal Control on Lipschitz Polytopes	3
Existence and Uniqueness of Solution to the Two-Phase Stefan Problem with Convection	3
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies	3
Online Adjoint Methods for Optimization of PDEs	3
Mean Field Markov Decision Processes	3
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	3
Sensitivity Analysis of Multi-objective Optimal Control Problems	3
Large Time Behavior of Spherically Symmetrical Micropolar Fluid on Unbounded Domain	3
Reverse Isoperimetric Inequality for the Lowest Robin Eigenvalue of a Triangle	3
Orlicz Space Regularization of Continuous Optimal Transport Problems	3
Sequential Systems of Reflected Backward Stochastic Differential Equations with Application to Impulse Control	3
Asymptotic Behaviors of Small Perturbation for Multivalued Mckean–Vlasov Stochastic Differential Equations	3
On Approximate and Weak Correlated Equilibria in Constrained Discounted Stochastic Games	3
Viability for Coupled SDEs Driven by Fractional Brownian Motion	3
Large Deviations and Averaging for Stochastic Tamed 3D Navier–Stokes Equations with Fast Oscillations	3
Non-concave Expected Utility Optimization with Uncertain Time Horizon	3
Propagation of Chaos of Forward–Backward Stochastic Differential Equations with Graphon Interactions	3
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps	3
Optimal Distributed Control for a Viscous Non-local Tumour Growth Model	3
Nash Equilibria for Total Expected Reward Absorbing Markov Games: The Constrained and Unconstrained Cases	3
Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes	3
Decay Rate Estimates for the Wave Equation with Subcritical Semilinearities and Locally Distributed Nonlinear Dissipation	3
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	3
Stochastic Optimal Control of a Doubly Nonlinear PDE Driven by Multiplicative Lévy Noise	3
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	3
Shape Sensitivity of Eigenvalue Functionals for Scalar Problems: Computing the Semi-derivative of a Minimum	3
A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term	3
The Square Root Normal Field Distance and Unbalanced Optimal Transport	3
Optimal Control Strategies for Bistable ODE Equations: Application to Mosquito Population Replacement	3
Information Projection on Banach Spaces with Applications to State Independent KL-Weighted Optimal Control	3