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 2020-05-01 to 2024-05-01.)

Article	Citations
Controllability and Optimal Control for a Class of Time-Delayed Fractional Stochastic Integro-Differential Systems	29
Existence of Solutions for a Class of Noncoercive Variational–Hemivariational Inequalities Arising in Contact Problems	24
Necessary Optimality Conditions for Optimal Control Problems in Wasserstein Spaces	22
Lord–Shulman Thermoelasticity with Microtemperatures	20
First-Order Shape Derivative of the Energy for Elastic Plates with Rigid Inclusions and Interfacial Cracks	16
Structural Stability in Resonant Penetrative Convection in a Brinkman–Forchheimer Fluid Interfacing with a Darcy Fluid	16
An Extension of the Second Order Dynamical System that Models Nesterov’s Convex Gradient Method	15
Thermosolutal Convection with a Navier–Stokes–Voigt Fluid	14
Suitable Spaces for Shape Optimization	13
Strong Averaging Principle for Two-Time-Scale Stochastic McKean-Vlasov Equations	12
A Class of Variational–Hemivariational Inequalities for Bingham Type Fluids	12
A Double Phase Problem Involving Hardy Potentials	12
Stochastic Graphon Games: II. The Linear-Quadratic Case	12
Competitive Double Diffusive Convection in a Kelvin–Voigt Fluid of Order One	11
On the Global Convergence of Particle Swarm Optimization Methods	11
A General Stochastic Maximum Principle for Mean-Field Controls with Regime Switching	11
Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised	11
Backtracking Gradient Descent Method and Some Applications in Large Scale Optimisation. Part 2: Algorithms and Experiments	9
On the Weak Stationarity Conditions for Mathematical Programs with Cardinality Constraints: A Unified Approach	9
Optimal Control of Semilinear Parabolic Equations with Non-smooth Pointwise-Integral Control Constraints in Time-Space	9
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square	9
Large Deviation Principle for McKean–Vlasov Quasilinear Stochastic Evolution Equations	9
Accelerated Proximal Algorithms with a Correction Term for Monotone Inclusions	9
A New Class of History–Dependent Evolutionary Variational–Hemivariational Inequalities with Unilateral Constraints	8
Existence Results for Fractional p(x, .)-Laplacian Problem Via the Nehari Manifold Approach	8

Navier–Stokes Regularity Criteria in Vishik Spaces	8
Time Optimal Control of a Clarke Subdifferential Type Stochastic Evolution Inclusion in Hilbert Spaces	8
Cahn–Hilliard Models for Glial Cells	8
Stability of a Timoshenko System with Localized Kelvin–Voigt Dissipation	7
Mixed Linear Quadratic Stochastic Differential Leader-Follower Game with Input Constraint	7
Continuous-Time Mean Field Games with Finite State Space and Common Noise	7
Error Estimates for Optimal Control Problems Involving the Stokes System and Dirac Measures	7
Global Solvability and Optimal Control to a Haptotaxis Cancer Invasion Model with Two Cancer Cell Species	7
Linear-Quadratic Mixed Stackelberg–Nash Stochastic Differential Game with Major–Minor Agents	7
Convergence Analysis of a Crank–Nicolson Galerkin Method for an Inverse Source Problem for Parabolic Equations with Boundary Observations	7
Binary Interaction Methods for High Dimensional Global Optimization and Machine Learning	7
Classical and Quantum Controllability of a Rotating Asymmetric Molecule	7
On the Asymptotic Nature of First Order Mean Field Games	7
Some Inequalities Involving Perimeter and Torsional Rigidity	7
A Coefficient Inverse Problem for the Mean Field Games System	6
An Adaptive Consensus Based Method for Multi-objective Optimization with Uniform Pareto Front Approximation	6
Fractional (p, q)-Schrödinger Equations with Critical and Supercritical Growth	6
Parameter Estimation of an Epidemic Model with State Constraints	6
Optimal Control of Stochastic Differential Equations via Fokker–Planck Equations	6
A Fixed-Point Policy-Iteration-Type Algorithm for Symmetric Nonzero-Sum Stochastic Impulse Control Games	6
Existence, Uniqueness and Asymptotic Behavior of Parametric Anisotropic (p, q)-Equations with Convection	6
Sensitivity Analysis of Optimal Control Problems Governed by Nonlinear Hilfer Fractional Evolution Inclusions	5
Optimal Distributed Control of a Allen–Cahn/Cahn–Hilliard System with Temperature	5
Learning an Optimal Feedback Operator Semiglobally Stabilizing Semilinear Parabolic Equations	5
Policy Iteration Method for Time-Dependent Mean Field Games Systems with Non-separable Hamiltonians	5
Variational and Virtual Discretizations of Optimal Control Problems Governed by Diffusion Problems	5
Existence, Comparison, and Convergence Results for a Class of Elliptic Hemivariational Inequalities	5
A Gradient Descent Perspective on Sinkhorn	5
About Symmetry in Partially Hinged Composite Plates	5
Fluid–Structure Interaction with Kelvin–Voigt Damping: Analyticity, Spectral Analysis, Exponential Decay	5
Random Evolution Equations: Well-Posedness, Asymptotics, and Applications to Graphs	5
Nonasymptotic Estimates for Stochastic Gradient Langevin Dynamics Under Local Conditions in Nonconvex Optimization	5
Input-to-State Stability of Non-uniform Linear Hyperbolic Systems of Balance Laws via Boundary Feedback Control	5
A Modified MSA for Stochastic Control Problems	5
Theory of Solutions for an Inextensible Cantilever	5
Existence and Non-existence of Global Solutions for a Nonlocal Choquard–Kirchhoff Diffusion Equations in $$\mathbb {R}^{N}$$	5
Robustness of Global Attractors for Extensible Coupled Suspension Bridge Equations with Fractional Damping	5
Teamwise Mean Field Competitions	5
Social Optima of Backward Linear-Quadratic-Gaussian Mean-Field Teams	5
(p, q)-Equations with Singular and Concave Convex Nonlinearities	5
Sensitivity Analysis of Value Functional of Fractional Optimal Control Problem with Application to Feedback Construction of Near Optimal Controls	4
Singular Limit Dynamics and Attractors for Wave Equations Connected in Parallel	4
Long-Time Behavior of a Nonlinearly-Damped Three-Layer Rao–Nakra Sandwich Beam	4
Linear Quadratic Mean Field Social Optimization: Asymptotic Solvability and Decentralized Control	4
Continuous Data Assimilation Algorithm for the Two Dimensional Cahn–Hilliard–Navier–Stokes System	4
Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains	4
Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties	4
Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators	4
Approximation to Stochastic Variance Reduced Gradient Langevin Dynamics by Stochastic Delay Differential Equations	4
Accelerated Gradient Methods Combining Tikhonov Regularization with Geometric Damping Driven by the Hessian	4

On Forward–Backward Stochastic Differential Equations in a Domination-Monotonicity Framework	4
Stackelberg–Nash Controllability for N-Dimensional Nonlinear Parabolic Partial Differential Equations	4
The Analysis of Approximate Controllability for Distributed Order Fractional Diffusion Problems	4
Learning-Informed Parameter Identification in Nonlinear Time-Dependent PDEs	4
Global Existence and Blow-Up for a Kirchhoff-Type Hyperbolic Problem with Logarithmic Nonlinearity	4
Discrete Subdiffusion Equations with Memory	4
Mean-Field Selective Optimal Control via Transient Leadership	4
Minimizing the Probability of Absolute Ruin Under Ambiguity Aversion	4
SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms	4
Barycenters in the Hellinger–Kantorovich Space	4
Stochastic Dynamic Programming with Non-linear Discounting	4
Solvability of Infinite Horizon McKean–Vlasov FBSDEs in Mean Field Control Problems and Games	4
On Numerical Approaches for Solving an Inverse Cauchy Stokes Problem	4
SIR Dynamics with Vaccination in a Large Configuration Model	4
Asymptotic Regularity and Attractors for Slightly Compressible Brinkman–Forchheimer Equations	4
Optimal Control of a Fully Parabolic Attraction-Repulsion Chemotaxis Model with Logistic Source in 2D	4
Local Null-Controllability of a Nonlocal Semilinear Heat Equation	4
Linear Quadratic Optimal Control Problems of Delayed Backward Stochastic Differential Equations	4
Local Turnpike Analysis Using Local Dissipativity for Discrete Time Discounted Optimal Control	4
Infinite Time Blow-Up of Solutions for A Class of Logarithmic Wave Equations with Arbitrary High Initial Energy	4
Strong Averaging Principle for Slow–Fast Stochastic Partial Differential Equations with Locally Monotone Coefficients	3
Qualitative Analysis for a Degenerate Kirchhoff-Type Diffusion Equation Involving the Fractional p-Laplacian	3
Convergence Results of a New Monotone Inertial Forward–Backward Splitting Algorithm Under the Local Hölder Error Bound Condition	3
Lipschitz Continuity of Convex Functions	3
Effect of Temperature Upon Double Diffusive Instability in Navier–Stokes–Voigt Models with Kazhikhov–Smagulov and Korteweg Terms	3
Numerical Shape Optimization Among Convex Sets	3
A General Stability Result for a Viscoelastic Moore–Gibson–Thompson Equation in the Whole Space	3
Machine Learning Architectures for Price Formation Models	3
Optimal Controls of Stochastic Differential Equations with Jumps and Random Coefficients: Stochastic Hamilton–Jacobi–Bellman Equations with Jumps	3
A Connection Between Symmetry Breaking for Sobolev Minimizers and Stationary Navier–Stokes Flows Past a Circular Obstacle	3
Generalized Differentiation of Probability Functions: Parameter Dependent Sets Given by Intersections of Convex Sets and Complements of Convex Sets	3
Rigorous Derivation of a Linear Sixth-Order Thin-Film Equation as a Reduced Model for Thin Fluid–Thin Structure Interaction Problems	3
BV Solutions of a Convex Sweeping Process with Local Conditions in the Sense of Differential Measures	3
Wong–Zakai Approximation for Landau–Lifshitz–Gilbert Equation Driven by Geometric Rough Paths	3
Distributed Optimal Control of the 2D Cahn–Hilliard–Oberbeck–Boussinesq System for Nonisothermal Viscous Two-Phase Flows	3
Robust Time-Inconsistent Stochastic Linear-Quadratic Control with Drift Disturbance	3
The Square Root Normal Field Distance and Unbalanced Optimal Transport	3
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System	3
The Time Optimal Control of Two Dimensional Convective Brinkman–Forchheimer Equations	3
Local and Global Existence and Uniqueness of Solution and Local Well-Posednesss for Abstract Fractional Differential Equations with State-Dependent Delay	3
Sensitivity Analysis of Multi-objective Optimal Control Problems	3
Stability for Semilinear Parabolic Optimal Control Problems with Respect to Initial Data	3
Kantorovich–Rubinstein Distance and Barycenter for Finitely Supported Measures: Foundations and Algorithms	3
Sequential Systems of Reflected Backward Stochastic Differential Equations with Application to Impulse Control	3
Strong Attractors for the Structurally Damped Kirchhoff Wave Models with Subcritical-Critical Nonlinearities	3
A Non-autonomous Damped Wave Equation with a Nonlinear Memory Term	3
Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations	3
Analysis of a Mathematical Model Arising in Plant Disease Epidemiology	3