Latest Research in Analysis of PDEs

Top Research Topics in Analysis of PDEs

• Analysis of PDEs — 271 papers
• Navier-Stokes equation solutions — 40 papers
• Probability — 35 papers
• Quasicrystal Structures and Properties — 26 papers
• Mathematical Physics — 20 papers
• Topological Materials and Phenomena — 16 papers
• Numerical Analysis — 16 papers
• Nonlinear Waves and Solitons — 13 papers
• Advanced Mathematical Theories and Applications — 13 papers
• Exactly Solvable and Integrable Systems — 12 papers

Highest-Cited Papers

1. There Is No Nothing: A Premise-Free Operational Foundation and an Open Verification Platform for Smithian Fold Theory (2 citations)
2. Quaternionic Buzano-Dragomir Inequality and Deutsch Entropic Uncertainty Principle
3. The One-Dimensional Compressible Navier–Stokes Equations in Critical Regularity Spaces
4. Navier–Stokes Dynamics and Turbulence in the Global Realism Framework: From First-Principles Derivation to the Question of Analytic Structure
5. Forensic Verification of a Legacy Annular-Sheet Solver Historically Intended for Injector Primary-Breakup Analysis
6. Prime Gaps as a Developmental Dynamical System
7. Asymptotic Behavior of Solutions and Free Boundaries of the Anisotropic Slow Diffusion Equation
8. The Small-Radius Euler Characteristic of a Smooth Gaussian Tube via Kac–Rice
9. Forensic Verification of a Legacy Annular-Sheet Solver Historically Intended for Injector Primary-Breakup Analysis
10. Quaternionic Buzano-Dragomir Inequality and Deutsch Entropic Uncertainty Principle
11. Almost sure local well-posedness for the nonlinear Schrödinger equations on $\Bbb T^d$ with non-algebraic nonlinearity
12. Global regularity for axisymmetric, swirl-free solutions of the Euler equation in four dimensions
13. Asymptotic Equivalence Between Quasi-Grammian and Quasi-Wronskian $N$-Soliton Solutions of the Anti-Self-Dual Yang-Mills Equation
14. Long-Time Dynamics and Modified Scattering for the Coulomb Vlasov--Hartree System
15. Global well-posedness and time-decay estimates of the Navier-Stokes equations in exterior domains for critical data
16. Global existence of solutions for nonlinear damped wave equations in an exterior domain with nonlinearities of derivative type
17. Embedding transmission problems for Maxwell's equations into elliptic theory
18. Runge--Kutta Bias in Local Maximal-Canard Thresholds: A Chain-Tree Condition
19. Recovery of Schrödinger nonlinearity from the large-data scattering behavior
20. The IBVP for the Navier-Stokes equations in the half-space in a class of weighted Lebesgue spaces