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1754 papers in math.AP · page 14
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Stochastic particles converge to Vlasov-Navier-Stokes with rates
Quantitative approximation of the Vlasov(-Fokker-Planck)-Navier-Stokes system by stochastic particle systems
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Bacterial persistence decided by one parameter independent of structure
Analysis of persistence thresholds for a nonlocal PDE--ODE model of bacterial persister cells
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Strong unique continuation holds for fractional p-Laplacian
A strong-type unique continuation principle for the fractional $p$-Laplacian
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Duality characterizes subdifferential of adversarial total variation
Duality for the Adversarial Total Variation
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Nonlocal model yields finite plasmon resonances
Spectral theory of plasmonic resonances in the nonlocal regime
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Bessel-Orlicz spaces match Orlicz-Sobolev spaces
Function spaces and potential theory in the Orlicz setting
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Müller minimizer eigenvalues decay as A k^{-8/3}
Eigenvalue asymptotics of M\"uller minimizers for atoms and molecules
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Global solutions to degenerate Navier-Stokes for large spherical data
Global Well-Posedness of Classical Solutions to the Multi-Dimensional Degenerate Compressible Navier-Stokes Equations with Large Spherically Symmetric Initial Data
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Unique viscosity solutions for exterior Lagrangian mean curvature equations
Lagrangian Mean Curvature Equations on exterior domains
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Energy splitting trains neural operators to respect phase-field dissipation
DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting
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Global weak solutions exist for Cahn-Hilliard chemotaxis system
Weak solutions and weak-strong uniqueness for a Cahn-Hilliard type model with chemotaxis
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Predation rate controls Turing patterns in chemical predator-prey system
Global dynamics and diffusion-driven pattern formation in a predator-prey system with two chemicals
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Exact threshold identified for lower-order term in CR Sobolev inequality
Fractional Sobolev-type embedding on CR sphere and Heisenberg group
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N-body geodesic slices are countably rectifiable of dimension d(N-1)
Stability of geodesic-ray data, horofunctions, and rectifiability of fixed-shape slices in the Newtonian \(N\)-body problem
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Existence proved for Kolmogorov equations with degenerate diffusion
Existence theorems for nonlinear stationary Kolmogorov equations with partially degenerate diffusion matrices
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Local magnetic fields create narrow resonances near Landau levels
Semiclassical resonances under local magnetic fields
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Small data produce exponentially long 3D cubic wave solutions
Long time smooth solutions of 3D cubic quasilinear wave systems with small weakly decaying initial data
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Potential MFGs converge to stationary equilibria without monotonicity
Convergence of Potential Mean-Field Games via Lyapunov Methods
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Ground state soliton marks sharp blow-up threshold in 3D ZK
Multi-domain spectral approach for Zakharov-Kuznetsov equations in 3D with cylindrical symmetry
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Biharmonic energy difference admits sharp asymptotics as perturbation vanishes
Energy asymptotics and blow-up phenomena for biharmonic Br\'{e}zis-Nirenberg problem
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Collapsing collars add geodesic Morse index to harmonic map limits
Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces
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No ground states for fermionic system as p nears 2 from above
Ground States of One-Dimensional Fermionic Schr\"{o}dinger Systems Near a Critical Exponent
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Inflow data yields W^{1,∞} stability for 1D hyperbolic laws and W^{2,3+} for 3D Euler shea
Stability of Inflow Problem for Hyperbolic Systems
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Insulated conductivity solutions grow at most like |x|^α near contact
A simple proof for the insulated conductivity problem and application to flat boundaries
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First Fučík curve identified for drift-weighted Laplacian on ℝ^N
Fu\v{c}ik spectrum for the operator with rapidly increasing weight and applications
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Rogue waves obey large deviations principle beyond critical times
Large Deviations for the Nonlinear Schrodinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Beyond the Critical Time Scale
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Small perturbations fix transonic shock positions in rotating nozzle flows
Transonic shocks for steady Euler flows with rotating effect in two-dimensional almost flat nozzles
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Planar branched transport always admits an anisotropic minimizer
A model of anisotropic branched optimal transport
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Solvability shown for measure-data Dirichlet problems
The Dirichlet problem for double divergence form elliptic equations with measures as boundary conditions
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Alber equation has global solutions in H¹𝔖¹(T) space
Global solutions for the Alber equation in $H^1\mathfrak{S}^1(\mathbb{T})$
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Inhomogeneous energy-critical NLS scatters without radial symmetry
Global well-posedness and scattering for defocusing energy-critical inhomogeneous NLS in dimensions $d\ge 3$
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Modulation conditions prove blowup in 3D Keller-Segel equation
Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches
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Markov semigroups establish Beckner inequalities on weighted Gaussians
Log-Sobolev and Beckner inequalities and stability of Poincar\'e inequality with weighted Gaussian measures
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Sharp trace inequalities hold for fractional sublaplacians on Heisenberg group
Sharp trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere
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Figure-eight eigenvalues confirm Benjamin-Feir instability
Spectral structure of the Benjamin-Feir instability in deep-water gravity-capillary Stokes waves
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Irrational edges in honeycombs yield dense quasiperiodic edge states
Continuum honeycomb Schr\"odinger operators with incommensurate line defects
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Periodic interactions make phase transitions continuous at stability threshold
Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models
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Finite-gap solutions approximate any initial jet for BKM PDE classes
Jet-Density of Finite-Gap Solutions for Classes of BKM Systems
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Isoperimetric inequality holds for fractional Sobolev level sets
A fractional De Giorgi isoperimetric type inequality
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Parabolic-elliptic system solutions gain L^s integrability from L1 data
Existence and regularity of solutions to parabolic-elliptic nonlinear systems
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Solutions gain L^s regularity for L1 data in coupled system
Existence and regularity of solutions to parabolic-elliptic nonlinear systems
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The authors prove global existence
On Lions' density patch problem at a critical level of regularity
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The paper proves global weak entropy solutions exist for non-symmetric Keyfitz-Kranzer…
Global Existence for a Class of Keyfitz--Kranzer Systems with Application to Thin-Film Flows
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Capillary surfaces in the ball obey all quermassintegral inequalities
Capillary quermassintegral inequalities in the unit ball
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Biharmonic heat equation yields analytic C0-semigroup under dynamic boundaries
The Biharmonic Heat Equation with General Dynamic Boundary Conditions
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Repellent supply sets cells to extinction or uniform density
Global stability in a negative chemotaxis system with chemically induced lethality
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Scattering holds for critical waves outside two convex obstacles
On scattering and profile decomposition for critical nonlinear waves outside weakly trapping obstacles
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Weak MHD solutions approach Landau solutions in L2 norm
Asymptotic stability of Landau solutions to the MHD system and energy decay
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Quantitative averaging lemma holds for varying vector fields
A quantitative averaging lemma for spatially dependent vector fields
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The paper proves local existence and uniqueness of solutions to the compressible boundary…
Well-posedness of the compressible boundary layer equations with data in the Gevrey class