Analysis of PDEs

Authors and titles for math.AP in Mar 2024

[1]  arXiv:2403.00114 [pdf, other]

Title: Bloch-Floquet band gaps for water waves over a periodic bottom

Authors: Christophe Lacave, Matthieu Ménard, Catherine Sulem

Subjects: Analysis of PDEs (math.AP); Spectral Theory (math.SP)

[2]  arXiv:2403.00119 [pdf, ps, other]

Title: Zero dispersion limit of the Calogero-Moser derivative NLS equation

Authors: Rana Badreddine

Comments: 24 pages

Subjects: Analysis of PDEs (math.AP)

[3]  arXiv:2403.00164 [pdf, ps, other]

Title: The existence theorem for the steady-state Navier-Stokes equations with nonhomogeneous slip boundary conditions in two-dimensional multiply-connected bounded domains

Authors: Giovanni P. Galdi, Tatsuki Yamamoto

Comments: 42pages, 1 figue

Subjects: Analysis of PDEs (math.AP)

[4]  arXiv:2403.00168 [pdf, ps, other]

Title: Quantitative homogenization for log-normal coefficients

Authors: Nicolas Clozeau, Antoine Gloria, Siguang Qi

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[5]  arXiv:2403.00279 [pdf, ps, other]

Title: The sharp estimate of nodal sets for Dirichlet Laplace eigenfunctions in polytopes

Authors: Yingying Cai, Jinping Zhuge

Comments: 20 pages

Subjects: Analysis of PDEs (math.AP)

[6]  arXiv:2403.00309 [pdf, ps, other]

Title: Global existence and uniqueness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity

Authors: Quansen Jiu, Lin Ma, Fengchao Wang

Subjects: Analysis of PDEs (math.AP)

[7]  arXiv:2403.00348 [pdf, other]

Title: Regularity of the free boundaries for the two-phase axisymmetric inviscid fluid

Authors: Lili Du, Feng Ji

Comments: 52 pages. Any comments are welcome

Subjects: Analysis of PDEs (math.AP)

[8]  arXiv:2403.00357 [pdf, ps, other]

Title: On the sharp constants in the regional fractional Sobolev inequalities

Authors: Rupert L. Frank, Tianling Jin, Wei Wang

Subjects: Analysis of PDEs (math.AP)

[9]  arXiv:2403.00358 [pdf, ps, other]

Title: A game-theoretic approach to the asymptotic behavior of solutions to an obstacle problem for the mean curvature flow equation

Authors: Kuniyasu Misu

Comments: 32 pages, 20 figures

Subjects: Analysis of PDEs (math.AP)

[10]  arXiv:2403.00380 [pdf, ps, other]

Title: A sharp Sobolev trace inequality of order four on three-balls

Authors: Xuezhang Chen, Shihong Zhang

Comments: 29 pages. Comments are welcome!

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[11]  arXiv:2403.00389 [pdf, ps, other]

Title: Dynamics of helical vortex filaments in non viscous incompressible flows

Authors: Martin Donati (UMPA-ENSL), Christophe Lacave (LAMA), Evelyne Miot (IF, Mathdoc)

Comments: IF\_PREPUB

Subjects: Analysis of PDEs (math.AP)

[12]  arXiv:2403.00391 [pdf, ps, other]

Title: Perturbative global solutions of a large class of cross diffusion systems in any dimension

Authors: L Desvillettes (UPCité, SU, CNRS, IUF, IMJ-PRG (UMR\_7586)), A Moussa (SU, UPCité, ENS-PSL, LJLL (UMR\_7598), CNRS)

Subjects: Analysis of PDEs (math.AP)

[13]  arXiv:2403.00484 [pdf, ps, other]

Title: BMO-type functionals related to the total variation and connection to denoising models

Authors: Serena Guarino Lo Bianco, Roberta Schiattarella

Subjects: Analysis of PDEs (math.AP)

[14]  arXiv:2403.00552 [pdf, ps, other]

Title: Sharp spectral gap of adaptive Langevin dynamics

Authors: Lois Delande

Comments: 36 pages, 1 figure

Subjects: Analysis of PDEs (math.AP); Probability (math.PR); Spectral Theory (math.SP)

[15]  arXiv:2403.00555 [pdf, ps, other]

Title: Global solutions of the 3D incompressible inhomogeneous viscoelastic system

Authors: Chengfei Ai, Yong Wang

Subjects: Analysis of PDEs (math.AP)

[16]  arXiv:2403.00609 [pdf, ps, other]

Title: Rotating spirals for three-component competition systems

Authors: Zaizheng Li, Susanna Terracini

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[17]  arXiv:2403.00651 [pdf, ps, other]

Title: Regularities for solutions to the $L_p$ dual Minkowski problem for unbounded closed sets

Authors: Li Chen, Qiang Tu

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[18]  arXiv:2403.00759 [pdf, ps, other]

Title: Large deformations in terms of stretch and rotation and local solution to the non-stationary problem

Authors: Abramo Agosti, Michel Fremond

Comments: arXiv admin note: text overlap with arXiv:2307.02992

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[19]  arXiv:2403.00779 [pdf, other]

Title: Mid-surface scaling invariance of some bending strain measures

Authors: Amit Acharya

Comments: Reply to arXiv:2010.14308. This preprint has been classified as math.AP by arXiv moderators

Subjects: Analysis of PDEs (math.AP); Soft Condensed Matter (cond-mat.soft)

[20]  arXiv:2403.00838 [pdf, other]

Title: Sharp-interface limits for brittle fracture via the inverse-deformation formulation

Authors: Timothy J. Healey, Roberto Paroni, Phoebus Rosakis

Comments: 12 pages, 8 figures

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[21]  arXiv:2403.00874 [pdf, other]

Title: On complex algebraic singularities of some genuinely nonlinear PDEs

Authors: Denys Dutykh, Éric Leichtnam

Comments: 85 pages, 15 figures, 52 references, 5 appendices, and 1 table

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Numerical Analysis (math.NA); Exactly Solvable and Integrable Systems (nlin.SI)

[22]  arXiv:2403.00945 [pdf, ps, other]

Title: A note on averaging for the dispersion-managed NLS

Authors: Jason Murphy

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP)

[23]  arXiv:2403.00971 [pdf, ps, other]

Title: The sequence of pseudo-equilibria describes the long-time behaviour of the NNLIF model with large delay

Authors: María J. Cáceres, José A. Cañizo, Alejandro Ramos-Lora

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[24]  arXiv:2403.01104 [pdf, ps, other]

Title: Global Hölder solvability of second order elliptic equations with locally integrable lower-order coefficients

Authors: Takanobu Hara

Subjects: Analysis of PDEs (math.AP)

[25]  arXiv:2403.01117 [pdf, other]

Title: Jumps and cusps: a new revival effect in local dispersive PDEs

Authors: Lyonell Boulton, George Farmakis, Beatrice Pelloni, David A. Smith

Comments: 35 pages, 3 figures, 2 appendices

Subjects: Analysis of PDEs (math.AP)