| Data-Driven Model Reduction and Transfer Operator Approximation |
28 |
| On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator |
24 |
| The Nonlinear Steepest Descent Method to Long-Time Asymptotics of the Coupled Nonlinear Schrodinger Equation |
24 |
| Spatial Dynamics of a Nonlocal Dispersal Population Model in a Shifting Environment |
16 |
| Solution Properties of a 3D Stochastic Euler Fluid Equation |
16 |
| Machine Learning Approximation Algorithms for High-Dimensional Fully Nonlinear Partial Differential Equations and Second-order Backward Stochastic Differential Equations |
15 |
| The Sobolev Stability Threshold for 2D Shear Flows Near Couette |
13 |
| Asymptotic Formulas for Extreme Statistics of Escape Times in 2 and 3-Dimensions |
13 |
| Dynamics of a Stochastic Predator-Prey Model with Stage Structure for Predator and Holling Type II Functional Response |
12 |
| Model Equations and Traveling Wave Solutions for Shallow-Water Waves with the Coriolis Effect |
12 |
| Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background |
10 |
| Integrable Semi-discrete Kundu-Eckhaus Equation: Darboux Transformation, Breather, Rogue Wave and Continuous Limit Theory |
9 |
| Mean Field Limits for Interacting Diffusions in a Two-Scale Potential |
9 |
| Stochastic Geometric Models with Non-stationary Spatial Correlations in Lagrangian Fluid Flows |
9 |
| Noise and Dissipation on Coadjoint Orbits |
8 |
| Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrodinger Equation |
7 |
| Bounding Averages Rigorously Using Semidefinite Programming: Mean Moments of the Lorenz System |
7 |
| Periodic Solution and Stationary Distribution of Stochastic Predator-Prey Models with Higher-Order Perturbation |
7 |
| Global Regularity for a 2D Tropical Climate Model with Fractional Dissipation |
7 |
| On Global Solutions and Blow-Up for a Short-Ranged Chemical Signaling Loop |
7 |
| Orientational Order on Surfaces: The Coupling of Topology, Geometry, and Dynamics |
6 |
| Remarks on the Emergence of Weak Euler Solutions in the Vanishing Viscosity Limit |
6 |
| A Reaction-Diffusion Model of Vector-Borne Disease with Periodic Delays |
6 |
| Spatio-Temporal Koopman Decomposition |
6 |
| Central Configurations of the Curved N-Body Problem |
6 |
| Diffusive Search for Diffusing Targets with Fluctuating Diffusivity and Gating |
5 |
| Distributed Coordination for Nonsmooth Convex Optimization via Saddle-Point Dynamics |
5 |
| Resolution of the Piecewise Smooth Visible-Invisible Two-Fold Singularity in R-3 Using Regularization and Blowup |
5 |
| On the Extension of Onsager's Conjecture for General Conservation Laws |
5 |
| Diffusion Forecasting Model with Basis Functions from QR-Decomposition |
4 |
| Averaging Principle for Multiscale Stochastic Klein-Gordon-Heat System |
4 |
| Population Dynamics in River Networks |
4 |
| Stochastic Closures for Wave-Current Interaction Dynamics |
4 |
| Spatiotemporal Pattern Extraction by Spectral Analysis of Vector-Valued Observables |
4 |
| On Born's Conjecture about Optimal Distribution of Charges for an Infinite Ionic Crystal |
4 |
| Higher-Order Hamiltonian Model for Unidirectional Water Waves |
3 |
| Navier-Stokes-Voigt Equations with Memory in 3D Lacking Instantaneous Kinematic Viscosity |
3 |
| Modulated Rotating Waves in the Magnetised Spherical Couette System |
3 |
| Convex Integration Arising in the Modelling of Shape-Memory Alloys: Some Remarks on Rigidity, Flexibility and Some Numerical Implementations |
3 |
| Transient Metastability and Selective Decay for the Coherent Zonal Structures in Plasma Drift Wave Turbulence |
3 |
| Turing and Turing-Hopf Bifurcations for a Reaction Diffusion Equation with Nonlocal Advection |
3 |
| Integrability and Dynamics of the n-Dimensional Symmetric Veselova Top |
3 |
| Energy-Preserving Integrators Applied to Nonholonomic Systems |
3 |
| Dynamics of Nonlinear Random Walks on Complex Networks |
3 |
| Bifurcations in a Diffusive Predator-Prey Model with Beddington-DeAngelis Functional Response and Nonselective Harvesting |
3 |
| Onsager's Conjecture on the Energy Conservation for Solutions of Euler Equations in Bounded Domains |
3 |
| On the Relationship Between the One-Corner Problem and the M-Corner Problem for the Vortex Filament Equation |
3 |
| Convergence to Equilibrium in Energy-Reaction-Diffusion Systems Using Vector-Valued Functional Inequalities |
3 |
| Rigorous Model Reduction for a Damped-Forced Nonlinear Beam Model: An Infinite-Dimensional Analysis |
3 |
| Existence and Stability of Traveling Waves for Degenerate Reaction-Diffusion Equation with Time Delay |
3 |
