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Every paper Pith has read. Search by title, abstract, or pith.
768 papers in math.AP · page 1
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Shell model of Navier-Stokes shows finite-time blow-up
Finite-time blow-up in an elementary model of the 3D Navier-Stokes equations
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Kuramoto game equilibria are unique above critical strength
Uniqueness of synchronized stationary equilibria in the Kuramoto mean field game
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Lax-Oleinik formula gives unique solutions on general networks
Lax-Oleinik formula for nonautonomous Hamilton-Jacobi equations on networks
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The paper develops a methodology to assess structural identifiability in spatio-temporal…
Structural identifiability of partially-observed stochastic processes: from single-particle trajectories to total particle density data
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Gaps in torus laminations contain non-minimizing minimal surfaces
A min-max gap characterization of minimal foliations on the torus
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New sampling method sizes clamped obstacles from one wave
Novel implementation of the extended sampling method for inverse biharmonic scattering
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Conformable Laplace transform solves diffusion equations
On solution of Diffusion Equation using Conformable Laplace Transform
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ISS open problem resolved via structured maximal regularity
Implications of structured continuous maximal regularity
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Stability bounds enable point-source gas leak recovery
Leak localisation with a measure source convection-diffusion model
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Fractional p-Laplacian derivative yields logarithmic nonlocal operator
On the fractional logarithmic $p$-Laplacian
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Unique weak solution exists near homogenized limit for small parameters
An H-convergence-based implicit function theorem for homogenization of nonlinear non-smooth elliptic systems
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Variational principle yields reduced bubbly flow models
A variational approach to the derivation of reduced models for bubbly flows
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Transform enables blow-up criterion for semilinear heat equation
On the existence and nonexistence of global solutions of the semilinear heat equation
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Degenerate SIR model with policy boundaries has unique solutions
A degenerate reaction-diffusion SIR model in interconnected regions
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Branched transport bounds Ahlfors-regular measures to dimension 8/5
Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models
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Integral solution stabilizes finite flow model
The unified transform for Burgers' equation: Application to unsaturated flow in finite interval
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Regularization yields global strong solutions for atmospheric phase transition
Global Existence and Uniqueness of Strong Solutions for a Phase Transition Model in Atmospheric Dynamics
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NLS solutions depend continuously on nonlinearity power
Dependence of the nonlinear Schr{\"o}dinger flow upon the nonlinearity
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Minimal resistance profiles end at slope 1/sqrt(3) with exponential density
The Newton's problem assuming non-constant density of the fluid
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Moving observations yield Cesàro observability for PDEs
Moving localized observations and Ces{\`a}ro asymptotic observability for conservative PDEs
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Slow fractional Schrödinger solution converges to averaged effective equation
Averaging principle for a slow-fast stochastic nonlinear fractional Schr\"odinger equation
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Spectral Ricci bound forces product splitting on mean-convex manifolds
Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary
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Global strong solutions exist for Hele-Shaw flow with point injection
Global well-posedness for the Hele-Shaw problem with point injection
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Hyperbolic catenoid has Robin nullity two in |k|=1 mode
Robin nullity in mode $|k|=1$ and asymptotic radius of the critical hyperbolic catenoid
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Annular flatness improvement classifies minimal surface ends
Improvement of flatness in annuli
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Mean-field transformer tokens concentrate at rate scaling with √(log β / β)
Quantifying Concentration Phenomena of Mean-Field Transformers in the Low-Temperature Regime
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Positivity makes generalized Stokes operator invertible on cylindrical domains
Well-posedness of a generalized Stokes operator on domains with cylindrical ends via layer-potentials
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Yang-Mills flow converges on ALE gravitational instantons
Convergence of the Yang-Mills flow on ALE gravitational instantons
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One-sided balance condition yields new entropy structures for 3-wave equations
Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations
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Distance between minimal hypersurfaces obeys elliptic PDE
Distance between minimal surfaces and flows
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Existence of positive solutions for sublinear semilinear equations
Existence of Positive Solutions to Semilinear Equations with Sublinear Nonlinearities and Compact Positivity-Improving Resolvent
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Background field stabilizes 3D compressible MHD with weak dissipation
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
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Background magnetic field grants global regularity to 3D compressible MHD
Global uniform regularity for the 3D compressible MHD equations near a background magnetic field
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Counterexample shows vanishing-viscosity limit fails
Nonexistence of vanishing-viscosity limits for mechanical Hamiltonian ergodic problems
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Viscoelasticity solutions are curves of maximal slope in metric space
Gradient-flow characterizations of one-dimensional quasistatic viscoelasticity with Bhattacharya-like viscosity
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Diverging volume sum kills positive solutions to p-Laplace inequality
A Volume-Growth Criterion for the p-Laplace Inequality on Weighted Graphs
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Vorticity must be orthogonal to pseudo-harmonic fields for solvability
On the Multi-Dimensional Divergence-Curl Problem and Its Connection with Pseudo-Harmonic Fields
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Degenerate nonlinear equations gain C^1 boundary regularity on C^2 domains
Boundary $ C^{1}$ regularity for degenerate fully nonlinear elliptic equations on $ C^{2} $ domain
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Nudging converges for parabolic equations with noisy observations
Continuous Data Assimilation for Semilinear Parabolic Equations with Multiplicative Observation Noise
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Martingale quadratic variation density forces exponential L2 decay in stochastic NLS
Exponential Decay of $L^2$-Solutions to Stochastic Nonlinear Schr\"odinger Equations Driven by Continuous Martingales
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Rotating cylinder films have unique steady states for non-integer length ratios
Analysis of a three-dimensional fluid flow in rotating cylinders
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Deeper Picard iterations cut truncation error without unbounded estimation error
Generalization Error Bounds for Picard-Type Operator Learning in Nonlinear Parabolic PDEs
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Algebraic cancellation yields global large solutions for multi-species Boltzmann
Global Well-posedness for the Multi-species Boltzmann Equation with Large Amplitude Initial Data
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Elastica energy limits to 2π multiples at each concentration
Concentration effects and $\Gamma$-limit for the elastica functional for open and closed curves
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Cell geometry sets polarization pulse positions via Green's function potential
Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
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3D Navier-Stokes solutions stay smooth for all time
A Classical Two-Part First-Threshold Proof of Global Smoothness for Navier--Stokes: Axisymmetric Swirl Closure and Full-System Reduction
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Neumann eigenvalues converge to Steklov under boundary concentration
Weighted Neumann-to-Steklov limits for nonlinear eigenvalues and trace constants
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Forced Navier-Stokes solutions beat generic decay limits
Solutions of the Navier-Stokes equations with forced rapid space-time decay
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Mean-field SVGD converges in L2 at explicit polynomial rates
Quantitative Local Convergence of Mean-Field Stein Variational Gradient Flow
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Round multiply-covered circles are the only critical points of m-ideal energies
On the generalised ideal flow of closed planar curves