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1754 papers in math.AP · page 15
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Nudging criteria guarantee convergence for stochastic third-grade fluids
On Continuous Data Assimilation for a class of 2D and 3D stochastic non-Newtonian fluids of differential type
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The paper proves that free boundaries of minimizers for the Alt-Phillips functional with…
$C^{\infty}$ regularity of the Alt-Phillips Functional for negative powers
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Energy-vorticity bootstrap yields long lifespans for 2D fluids near Euler
Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
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Energy-vorticity formulation gives global solutions for 2D fluids near Euler
Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
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Axial screw motions branch from circular vortex filaments
Lyapunov Unstable Motion Bifurcating from a Circular Vortex Filament
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Ideal reconnection occurs in 2D inertial MHD without resistivity
Electric inertia and ideal magnetic reconnection in 2D
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p(x)-Laplace solutions converge as p(x) goes to infinity
Limit as $p(x)\rightarrow \infty$ of $p(x)$-Harmonic functions for unbounded $p(x)$
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Ray-monotone W1 selector unstable under weak target limits
Instability of the ray-monotone selector for $W_1$-optimal transport
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Spectral condition stabilizes uncertainty principles on manifolds
Uncertainty principles and singular potentials
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Energy solutions exist and are unique for noisy NLS on R^d up to dimension 3
Nonlinear Schr\"odinger equations with spatial white noise potential on full space for $d\le 3$
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Cartan group yields global Poincaré inequalities for forms
$L^p$-Hodge decomposition and global integral estimates on the Cartan group
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Instantons are sole solutions below charge-dependent Yang-Mills energy bound
The Yang-Mills equation near instanton-anti-instanton configurations
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Ricci flow stabilizes near Ricci-flat ALE metrics with integrable deformations
Integrable Deformations and Stability of the Ricci Flow
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Three scaling regimes control limits in random thin-domain sieve problems
Combined effect of homogenization and dimension-reduction in the random Neumann sieve problem
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A priori bounds proved for flow in membrane unit cells
Estimates to the weak solution of the electro-hydrodynamical boundary value problem for the unit cell of cation-exchange membrane
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New method gives stronger decay for 1D Klein-Gordon
On dispersive estimates for one-dimensional Klein-Gordon equations
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Global bifurcation curve ends at singular traveling wave
Singular traveling waves for the Euler-Poisson system
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Harnack inequality holds for mixed local-nonlocal weighted equations
Harnack inequality for mixed local-nonlocal weighted homogeneous equations
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Unique asymptotic solutions exist for p-Schrödinger equations with confining potentials
An $L^1$-theory for $p$-Schr\"odinger equations with confinement in measure
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Expansion induces superpolynomial damping in small cosmological plasmas
Landau damping on expanding backgrounds
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Small noise preserves blow-up in energy-critical stochastic NLS
The energy-critical stochastic nonlinear Schr\"odinger equation: well-posedness and blow-up
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Criterion guarantees Dirac eigenvalue minimizers on closed spin surfaces
Conformally critical metrics and optimal bounds for Dirac eigenvalues on spin surfaces
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Logarithmic expansion yields closed integrals for time-dependent quantum corrections
Time-Dependent Logarithmic Perturbation Theory for Quantum Dynamics: Formulation and Applications
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Random holes make inviscid Navier-Stokes converge to Euler or Euler-Brinkman
Homogenization of the Navier-Stokes equations in a randomly perforated domain in the inviscid limit
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Admissible schemes yield global weak solutions for 1D cross-diffusion
Global existence for a system without self-diffusion and different mobilities
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Noise regularity sets convergence rates in wave-to-heat limit
Strong and weak rates of convergence in the Smoluchowski--Kramers approximation for stochastic partial differential equations
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Saturation in damping extinguishes Ginzburg-Landau solutions in finite time
Damped nonlinear Ginzburg-Landau equation with saturation. Part II. Strong Stabilization
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The paper gives uniform volume estimates for balls defined by Carnot-Carathéodory…
Uniform volume estimates and maximal functions on generalized Heisenberg-type groups
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Measurements near one particle path recover fluid flow
An inverse problem for compressible Euler's equations
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Explicit formulas classify prey spreading speeds in shifting habitats
Propagation dynamics for nonlocal dispersal predator-prey systems in shifting habitats: A Hamilton-Jacobi approach
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Weak solutions to double-phase parabolic equations are locally bounded
Local boundedness for solutions to degenerate parabolic double phase problems
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Stable minimal hypersurfaces in R^4 are hyperplanes
Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$
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Gradient estimate for warping PDE under Ricci-Bourguignon flow
Gradient estimates for a parabolic partial differential equation under the Ricci-Bourguignon flow
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Ancient mean curvature flows can singularize exactly on any closed set
Mean curvature flows with prescribed singular sets
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Residual set of L² data makes 2D Euler well-posed
The 2D Euler equations are well-posed for generic initial data in $L^2$
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Scalar curvature infimum controlled by square root of C0 distance in 3D
Quantification of $C^0$ Convergence in Dimension Three
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Modified coagulation equations yield unique solutions and explicit formulas
Coagulation equations with particle emission
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Pairing measures make divergence rule hold for BV composites
On the divergence of the composition of irregular fields with BV functions
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Makai inequality extends sharply to convex sets in every dimension
The Makai inequality in higher dimensions: qualitative and quantitative aspects
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Error estimates connect mixed-dimensional and equidimensional models
Approximation properties of double complexes
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Flows below 1/3 Hölder regularity force persistent scalar dissipation
Scalar anomalous dissipation and optimal regularity via iterated homogenization
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Small-mass minimizers of hybrid energy are near-spherical
Existence and Regularity in the Small-Mass Regime for a Hartree--Ohta-Kawasaki Shape Optimization Problem
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Kac particles converge to Boltzmann solution for very soft potentials
Propagation of chaos for the Boltzmann equation with very soft potentials
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Hyperbolic Navier-Stokes solutions blow up via gradient catastrophe
Gradient Catastrophe for Solutions to the Hyperbolic Navier-Stokes Equations
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Optimal constant for BV trace inequality on corner domains is found
Optimal constant for the trace inequality in $BV$ for domains with corners
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Anisotropic critical p-Laplace solutions decompose into bubbles
On the anisotropic critical $p$-Laplace equation: classification, decomposition, and stability results
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Horizontal lamellae locally minimize anisotropic Ohta-Kawasaki energy
Local and global minimality of the lamella for the anisotropic Ohta-Kawasaki energy
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Curvature flows preserve convexity on pinched Hadamard surfaces
Constrained Curvature Flows on Pinched Hadamard Surfaces
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New Sobolev inequality for quasicontinuous W^{1,1}_0 functions
A note on Sobolev inequalities in the lower limit case
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Green's function decomposes into diffusive
Green's Function and Pointwise Space-time Behaviors of the three-Dimensional modified Vlasov-Poisson-Boltzmann System