Pde
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
Browse by subject
Search this collection by problem ID, title, classification, subject, provider, or model.
Search results
No matching problems. Try another search or clear a filter.
63 records · Search and filter
- Math-5 Navier–Stokes Existence and Smoothness
- Math-22 Navier-Stokes Existence and Smoothness: Fefferman A
- Math-91 Global Regularity of Solutions to the Inviscid Surface Quasi-Geostrophic Equation
- Math-92 Global Regularity of the 3D Incompressible Magnetohydrodynamic Equations
- Math-93 No-Slip Vanishing-Viscosity Limit in the Energy Norm
- Math-94 Soliton Resolution for the Focusing Energy-Critical Wave Equation without Radial Symmetry
- Math-176 The Weinstein Conjecture
- Math-182 Smooth anisotropic Calderón uniqueness from full boundary data
- Math-184 Inhomogeneous Landau–Coulomb Global Regularity (HST All-Moment Data)
- Math-239 De Giorgi Conjecture for the Allen–Cahn Equation
- Math-281 Sharp Upper Bound in Yau's Conjecture on Nodal Sets of Laplace Eigenfunctions
- Math-283 Planar homogeneous Mumford–Shah local-structure conjecture
- Math-291 Global Regularity of the 2D Inviscid Boussinesq Equations
- Math-298 Huisken's Generic Singularity Conjecture for Mean Curvature Flow
- Math-318 Calderón uniqueness for bounded measurable real isotropic conductivities
- Math-332 Nirenberg Problem on the Two-Sphere
- Math-391 Bourgain's unbounded Sobolev orbit problem for cubic defocusing NLS on the square two-torus
- Math-396 Global Regularity of the 3D Incompressible Hall-MHD Equations for Large Data
- Math-438 Stein's Conjecture on the Hilbert Transform along Lipschitz Vector Fields
- Math-465 Leray's Problem for Stationary Navier-Stokes under the Total-Flux Condition in Three Dimensions
- Math-491 Liouville problem for stationary Navier–Stokes D-solutions in R^3
- Math-2202 Birkhoff Conjecture
- Math-2219 Vlasov–Maxwell regularity
- Math-2307 Long-time existence and behavior of the Calabi flow
- Math-2308 Boundary integrability and the explicit confocal-caustic dictionary
- Math-2372 Uniqueness of Tangent Flows in Mean Curvature Flow
- Math-2374 De Giorgi Conjecture for Allen–Cahn
- Math-2446 Almost Everywhere Regularity of Parametrized Stationary Varifolds
- Math-2467 Generic Singularities of Mean Curvature Flow
- Math-2482 Singular Free Boundaries in the Critical Dimension
- Math-2493 Rigidity of Stable One-Phase Solutions
- Math-2837 The optimal one-third stability exponent for compact-target Brenier maps
- Math-2838 Stable amplitude blowup for a supercritical defocusing torus equation
- Math-2839 Halting detection with one additional decay power per time derivative
- Math-2840 Computation by a fixed particle with eventually stationary forcing
- Math-2841 The interior crack structure of fidelity Mumford–Shah absolute minimizers
- Math-2842 Computation by compactly supported eventually periodic box transport
- Math-2843 Halting detection by integrated velocity on a planar-periodic fluid domain
- Math-2844 A velocity-field halting detector in forced viscous flow
- Math-2845 The Gaussian hard-sphere fluctuation field on regular Boltzmann intervals
- Math-2846 The entire weighted Lane–Emden nonexistence criterion
- Math-2847 Uniform interior gradient Hölder estimates for infinity-harmonic functions
- Math-2848 A fixed-particle halting detector with time-square-integrable fluid derivatives
- Math-2849 Recovery of both metric and U(2) connection from one boundary patch
- Math-2850 The exact critical dimension for homogeneous one-phase minimizers
- Math-2851 Uniqueness of admissible periodic hard-sphere Boltzmann evolution
- Math-2852 Halting detection by a fixed particle under initialized periodic solenoidal forcing
- Math-2853 Computation under rapidly vanishing force in one fixed spatial box
- Math-2854 Halting detection under reciprocal-time decaying torus forcing
- Math-2855 Smooth anisotropic conductivity uniqueness from a single proper patch