Latest Research in Analysis of PDEs

Top Research Topics in Analysis of PDEs

• Analysis of PDEs — 16 papers
• Navier-Stokes equation solutions — 3 papers
• Stability and Controllability of Differential Equations — 2 papers
• Fluid Dynamics and Turbulent Flows — 2 papers
• Fluid Dynamics — 2 papers
• Model Reduction and Neural Networks — 2 papers
• Numerical Analysis — 2 papers
• Advanced Mathematical Physics Problems — 1 papers
• Nonlinear Waves and Solitons — 1 papers
• Quantum Physics — 1 papers

Highest-Cited Papers

1. On Hyperbolic Approximations for a Class of Dispersive and Diffusive-Dispersive Equations
2. Stochastic Two-Dimensional Anisotropic Magnetohydrodynamics System with Multiplicative Noise
3. On the existence and uniqueness of classical solution for an initial-boundary value problem for a discrete Boltzmann system in two space dimensions
4. Convergence of a multi-fluid scheme for the Vlasov--Poisson system
5. Numerical Resolution of the 3D Navier-Stokes Global Regularity Problem: Topological Fractal Brakes and Algebraic Isolation via Rough Operator Algebra
6. Enhanced dissipation and global well-posedness for a three-dimensional flame propagation model with couette flow
7. Numerical Resolution of the 3D Navier-Stokes Global Regularity Problem: Topological Fractal Brakes and Algebraic Isolation via Rough Operator Algebra
8. Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains
9. Critical Regularity Anatomy of Periodic Navier–Stokes Breakdown
10. A Few Compelling Features of a (2 + 1)-Dimensional Fourth-Order Nonlinear Evolution Equation
11. Incompressible limit of the compressible micropolar fluid model without angular viscosities in a 3D bounded domain
12. Critical Regularity Anatomy of Periodic Navier–Stokes Breakdown
13. Relative Entropy Decay via BKM coercivity for Quantum Markov Semigroups
14. Computer-assisted global regularity across nonlinear families of three-dimensional periodic Navier-Stokes flows
15. On a Multispecies Electrodiffusion Model in Higher-Dimensional Porous Media
16. Blow-up criterion to the compressible full Navier-Stokes equations with inflow-outflow boundary conditions
17. Linear ill-posedness of three-dimensional MHD boundary layer equations
18. Lagrangian Dynamical Theory of the Velocity Gradient Tensor: Real Schur Form, Schur Frame, Characteristic Vorticity Modes, and Commutative Vorticity Operators
19. Structure-Preserving Analysis of Euler and Navier–Stokes Equations Scaling, Residuals, and Quantitative Regularity
20. Weak Solutions for the Unregularised Hibler Momentum Equation with Degenerate Coefficients