Latest Research in Analysis of PDEs

Top Research Topics in Analysis of PDEs

• Analysis of PDEs — 67 papers
• Navier-Stokes equation solutions — 18 papers
• Fluid dynamics and aerodynamics studies — 4 papers
• Fluid Dynamics — 4 papers
• Advanced Mathematical Modeling in Engineering — 3 papers
• Nonlinear Photonic Systems — 3 papers
• Mathematical Physics — 3 papers
• Neural Networks and Reservoir Computing — 2 papers
• Dynamical Systems — 2 papers
• Statistical Mechanics — 2 papers

Highest-Cited Papers

1. E8‑Baire‑Phi Resonant Filter for Generic Stability in High‑Dimensional Systems — E8 Intelligence Research
2. How much dissipation can a multiscale layer cascade carry?
3. The Topological Lock: Constructive Finite-Time Blow-up in the 3D Incompressible Navier-Stokes Equations on R^3
4. A Dual-Phase Potential–Vortical Decomposition for Incompressible Hydrodynamics: Non-Linear Structure, Energy Fluxes, and Global Regularity
5. A Dual-Phase Potential–Vortical Decomposition for Incompressible Hydrodynamics: Non-Linear Structure, Energy Fluxes, and Global Regularity
6. New energy equality criteria of weak solutions of the incompressible magnetohydrodynamic equations
7. Global existence of axisymmetric solutions to 2D relativistic stiff fluid equations
8. Long-Time Behavior of an Anisotropic Rigid Body Interacting with a Poiseuille Flow in an Unbounded 2-Dimensional Channel
9. Finite-time blow-up for a nonlinear thermoelastic Kirchhoff system
10. Rigorous Multiscale Analysis and Topological Control of Stochastic Reaction-Diffusion SPDEs on Deformable Manifolds
11. Large-Time Behavior towards Composite Waves of Degenerate Shock and Rarefaction Wave for Modified KdV-Burgers Equation
12. Boundary driven weakly asymmetric Blume-Capel model: Large deviations for mixed Dirichlet-Neumann boundary conditions
13. Existence and uniqueness of classical solution to an initial-boundary value problem for the unsteady general planar Broadwell model with four velocities
14. Global-in-time existence and uniqueness of classical solutions to the unsteady initial-boundary value problem for the four-velocity planar Broadwell model in a rectangular domain
15. Higher-Order Interactions in Complex Systems: Mechanisms, Behaviour, Representation and Reducibility
16. The Topological Lock: Constructive Finite-Time Blow-up in the 3D Incompressible Navier-Stokes Equations on R^3
17. Orbital stability of kinks in the NLS equation with competing nonlinearities
18. The Ekman spiral in primitive equations with wind-driven boundary conditions and Coriolis force
19. Steady symmetric Navier-Stokes flow near Poiseuille flow: existence and vanishing viscosity limit
20. Existence of multi-solitons for logarithmic Schr{ö}dinger equation with a perturbation of a smooth $L^2$-subcritical function nonlinearity