arXiv math.AP Analysis of PDEs

Diffusive-dispersive traveling waves and kinetic relations. Generic ... arXiv:2610.37623 Nonuniqueness of Solutions to 2D Incompressible Euler Equations with... arXiv:2610.37653

Local regularity for solutions to singular and degenerate quasilinea... arXiv:2610.37538 Boundary Plateau Laws I arXiv:2610.37559 Boundary Plateau Laws II arXiv:2610.37560

Bubble Tree Convergence for Minimisers of a Regularised Baby-Skyrme ... arXiv:2610.37457 Lojasiewicz Estimates for a Regularised Baby-Skyrme Model arXiv:2610.37499 Global H\"{o}lder solvability for parabolic equations with interior ... arXiv:2610.37528

Sharp Bounds for Toral Eigenfunctions and Threefold Additive Energy ... arXiv:2610.37423 Sharp Poincar\'e inequality for W_0^{2,p} arXiv:2610.37433 Sharp Planar Anisotropic Capillarity Outside Convex Obstacles and Tw... arXiv:2610.37440

Solutions of the Riemann problem for the Self-Organized Hydrodynamic... arXiv:2610.37252 Regularity Effects on the Small-Diffusion Asymptotics of the Princip... arXiv:2610.37259 A semigroup approach for rough partial differential equations with j... arXiv:2610.37401

The homogeneity function of the fractional p-Laplacian and optimal a... arXiv:2610.37212 Global Existence and Scattering of a Class of Two-Dimensional Euler-... arXiv:2610.37220 A new approach to compactly supported stationary Euler flows arXiv:2610.37251

Tumor growth models with nutrient consumption arXiv:2610.37144 Uniform parameter bounds for weighted exponential equations on simpl... arXiv:2610.37177 Quantitative periodic homogenization and uniform regularity for nonl... arXiv:2610.37209

Global well-posedness and scattering of energy-critical defocusing n... arXiv:2610.37077 Global Well-Posedness and Large Time Asymptotic Behavior of Strong S... arXiv:2610.37078 Large-bulk-viscosity limit for two-dimensional compressible micropol... arXiv:2610.37099

A class of degenerate elliptic problems involving the Grushin operat... arXiv:2610.36927 Emergence of large densities in a chemotaxis system with signal-depe... arXiv:2610.36934 Extended stability timescales for the 2D3C rotating stratified Bouss... arXiv:2610.37013

Dissipative weak solutions to the three-dimensional stochastic Euler... arXiv:2610.36819 An inverse moving point source problem in inhomogeneous acoustic med... arXiv:2610.36830 Principal profiles, characteristic communication and critical asympt... arXiv:2610.36851

Time-Periodic Chemotaxis in Shifting Environments: Propagation and P... arXiv:2610.36627 Fluid Problems Posed on Closed Hypersurfaces: Circumventing the Sadd... arXiv:2610.36641 Sharp well-posedness and soliton resolution for the half-wave maps e... arXiv:2610.36676

Global Well-posedness and Asymptotic Extinction for Keller-Segel Sys... arXiv:2610.36485 On Solutions for Singular Toda System on Surfaces with Boundary arXiv:2610.36548 Energy equality and renormalization of Navier-Stokes-Vlasov equations arXiv:2610.36579

Almost Periodicity Properties Arising From the Sodin-Yuditskii Theory arXiv:2610.36403 A self-contained proof of the variational characterization of the pr... arXiv:2610.36457 Large data global strong solutions to the quantum Navier-Stokes equa... arXiv:2610.36480

The Keller problem for the lowest positive eigenvalue of Dirac opera... arXiv:2610.36240 The Calder\'on problem for the fractional Schr\"odinger equation at ... arXiv:2610.36253 A fractional modular Poincar\'e--Wirtinger-type inequality in Sobole... arXiv:2610.36293

On the Luxemburg Functional in the Concave Regime with an Applicatio... arXiv:2610.35878 Simultaneous Recovery of Wave Speeds and Initial Sources on Graphs v... arXiv:2610.36106 Uniqueness and large-time continuous dependence in a doubly degenera... arXiv:2610.36117

Linear Stability, Inviscid Damping, and Scattering for Monotone Shea... arXiv:2610.34867 Effective Hamiltonians in Perforated Domains: Inf-Max formula and St... arXiv:2610.34910 The Sharp Constant in the Second-Order Hydrogen Uncertainty Principl... arXiv:2610.34916

Liouville theorems for the stationary Navier-Stokes equations under ... arXiv:2610.34780 Designed short-time observations for rotational damping recovery in ... arXiv:2610.34786 Endpoint well-posedness for the Boussinesq equation arXiv:2610.34793

A Deterministic Game-Theoretic Approach to Convexity-Preserving Prop... arXiv:2610.34671 Unconditional uniqueness for the cubic nonlinear Schr\"odinger equat... arXiv:2610.34733 Propagation dynamics of a parabolic-elliptic chemotaxis model in a t... arXiv:2610.34753

Lax Pair for the Kirchhoff-Pohozaev equation arXiv:2610.34522 Long-time action stability for perturbed KdV near finite-gap tori arXiv:2610.34601 The Inhomogeneous Kinetic FPUT Equation near Rayleigh-Jeans Equilibria arXiv:2610.34636

Slow blowup solutions for the focusing energy supercritical nonlinea... arXiv:2610.34448 Regularity of the solution map for the Oldroyd--B model with fractio... arXiv:2610.34498 Mixing zone dynamics for the Saffman-Taylor instability with viscosi... arXiv:2610.34504