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Analysis of PDEs

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Total of 106 entries : 1-50 51-100 101-106
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Fri, 17 Jan 2025 (showing 15 of 15 entries )

[1] arXiv:2501.09730 [pdf, other]
Title: Relatively non-degenerate integrated decay estimates for massless Vlasov fields on Schwarzschild spacetimes
Léo Bigorgne, Renato Velozo Ruiz
Subjects: Analysis of PDEs (math.AP)
[2] arXiv:2501.09698 [pdf, html, other]
Title: Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space
Changxing Miao, Zhiwen Zhao
Subjects: Analysis of PDEs (math.AP)
[3] arXiv:2501.09679 [pdf, html, other]
Title: Ill-Posedness of the Incompressible Euler--Maxwell Equations in the Yudovich Class
Haroune Houamed
Comments: 15 pages
Subjects: Analysis of PDEs (math.AP)
[4] arXiv:2501.09656 [pdf, other]
Title: Shock-type singularity of the hyperbolic-parabolic chemotaxis system
Woojae Lee
Subjects: Analysis of PDEs (math.AP)
[5] arXiv:2501.09572 [pdf, html, other]
Title: Towards Spectral Convergence of Locally Linear Embedding on Manifolds with Boundary
Andrew Lyons
Comments: 26 pages, 7 figures; the author welcomes all comments
Subjects: Analysis of PDEs (math.AP); Machine Learning (cs.LG)
[6] arXiv:2501.09539 [pdf, html, other]
Title: Existence of weak solutions for fast diffusion equation with a divergence type of drift term
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim
Subjects: Analysis of PDEs (math.AP)
[7] arXiv:2501.09487 [pdf, html, other]
Title: Higher Sobolev regularity on the mixed local and nonlocal p-Laplace equations
Yuzhou Fang, Dingding Li, Chao Zhang
Subjects: Analysis of PDEs (math.AP)
[8] arXiv:2501.09486 [pdf, other]
Title: Local boundedness and higher integrability for the sub-critical singular porous medium system
Verena Bögelein, Frank Duzaar, Ugo Gianazza, Naian Liao
Subjects: Analysis of PDEs (math.AP)
[9] arXiv:2501.09440 [pdf, other]
Title: A multi-class non-local macroscopic model with time delay for mixed autonomous / human-driven traffic
Ilaria Ciaramaglia (ACUMES, LJAD, UniCA), Paola Goatin (ACUMES, UniCA, LJAD), Gabriella Puppo (UNIROMA)
Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[10] arXiv:2501.09346 [pdf, other]
Title: Local Existence of a Classical Solution for Quasi-Linear Hyperbolic Systems
Shih-Wei Chou, Ying-Chieh Lin, Naoki Tsuge
Subjects: Analysis of PDEs (math.AP)
[11] arXiv:2501.09195 [pdf, html, other]
Title: Fluid-Structure Interaction with Porous Media: The Beaver-Joseph condition in the strong sense
Tim Binz, Matthias Hieber, Arnab Roy
Comments: Accepted in Journal of Differential Equations
Subjects: Analysis of PDEs (math.AP)
[12] arXiv:2501.09157 [pdf, html, other]
Title: On the minimal Blow-up rate for the 2D modified Zakharov-Kuznetsov model
Jessica Trespalacios
Comments: 15 pages
Subjects: Analysis of PDEs (math.AP)
[13] arXiv:2501.09037 [pdf, html, other]
Title: Amplitude blowup in compressible Euler flows without shock formation
Helge Kristian Jenssen
Subjects: Analysis of PDEs (math.AP); Fluid Dynamics (physics.flu-dyn)
[14] arXiv:2501.09036 [pdf, html, other]
Title: Second-Order $\Gamma$-Limit for the Cahn-Hilliard Functional with Dirichlet Boundary Conditions, II
Irene Fonseca, Leonard Kreutz, Giovanni Leoni
Subjects: Analysis of PDEs (math.AP)
[15] arXiv:2501.09711 (cross-list from math.DG) [pdf, html, other]
Title: Space of ancient caloric functions on some manifolds beyond volume doubling
Fanghua Lin, Hongbing Qiu, Jun Sun, Qi S. Zhang
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

Thu, 16 Jan 2025 (showing 18 of 18 entries )

[16] arXiv:2501.08976 [pdf, html, other]
Title: A geometric characterization of potential Navier-Stokes singularities
Zhen Lei, Xiao Ren, Gang Tian
Subjects: Analysis of PDEs (math.AP)
[17] arXiv:2501.08877 [pdf, html, other]
Title: Connecting SPDE to SGMs
Junsu Seo
Comments: 8 pages
Subjects: Analysis of PDEs (math.AP); Probability (math.PR)
[18] arXiv:2501.08782 [pdf, html, other]
Title: A CR structure with blowing up solutions to the CR Yamabe problem
Claudio Afeltra, Andrea Pinamonti
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[19] arXiv:2501.08746 [pdf, html, other]
Title: A class of moving boundary problems with an exponential source term
Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo, Colin Rogers
Subjects: Analysis of PDEs (math.AP)
[20] arXiv:2501.08733 [pdf, html, other]
Title: Boltzmann boundary layer equation with Maxwell reflection boundary condition and applications to fluid limits
Ling-Bing He, Ning Jiang, Yulong Wu
Subjects: Analysis of PDEs (math.AP)
[21] arXiv:2501.08715 [pdf, html, other]
Title: Compressible Navier-Stokes-Fourier approximation for the Boltzmann equation in bounded domains: from specular reflection to Navier-slip boundary conditions
Ning Jiang, Yulong Wu
Subjects: Analysis of PDEs (math.AP)
[22] arXiv:2501.08707 [pdf, html, other]
Title: Kinetic-fluid boundary layers and acoustic limit for the Boltzmann equation with general Maxwell reflection boundary condition
Ning Jiang, Yulong Wu
Subjects: Analysis of PDEs (math.AP)
[23] arXiv:2501.08657 [pdf, html, other]
Title: Liouville type results for the fractional truncated Laplacians in a half-space
Giulio Galise, Hitoshi Ishii
Comments: 39 pages
Subjects: Analysis of PDEs (math.AP)
[24] arXiv:2501.08630 [pdf, html, other]
Title: On principal eigenvalues of linear time-periodic parabolic systems: symmetric mutation case
Shuang Liu
Comments: 38 pages, 4 figures
Subjects: Analysis of PDEs (math.AP)
[25] arXiv:2501.08556 [pdf, html, other]
Title: Lyapunov stability and uniqueness problems for Hamilton-Jacobi equations without monotonicity
Yuqi Ruan, Kaizhi Wang, Jun Yan
Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)
[26] arXiv:2501.08405 [pdf, other]
Title: Partial regularity in nonlocal systems I
Cristiana De Filippis, Giuseppe Mingione, Simon Nowak
Comments: 67 pages, comments are welcome!
Subjects: Analysis of PDEs (math.AP)
[27] arXiv:2501.08396 [pdf, html, other]
Title: Concentric bubbles concentrating in finite time for the energy critical wave maps equation
Jacek Jendrej, Joachim Krieger
Comments: 69 pages
Subjects: Analysis of PDEs (math.AP)
[28] arXiv:2501.09002 (cross-list from math.FA) [pdf, html, other]
Title: $p$-Energy forms on fractals: recent progress
Naotaka Kajino, Ryosuke Shimizu
Comments: 30 pages, 2 figures; submitted originally on 14 December 2023 for consideration for publication
Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP); Probability (math.PR)
[29] arXiv:2501.08804 (cross-list from math.DG) [pdf, html, other]
Title: Remarks on constructing biharmonic and conformal biharmonic maps to spheres
Volker Branding
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[30] arXiv:2501.08489 (cross-list from physics.flu-dyn) [pdf, other]
Title: Analytical and Numerical Study of a Convection-Diffusion-Reaction-Source Problem in Multilayered Materials
Guillermo Federico Umbricht, Domingo Alberto Tarzia, Diana Rubio
Comments: 24 Pages, 4 Figures, 3 Tables, 4 Appendices. arXiv admin note: substantial text overlap with arXiv:2410.19018
Journal-ref: International Journal of Thermal Sciences 211 (2025), 109690
Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)
[31] arXiv:2501.08425 (cross-list from cs.LG) [pdf, other]
Title: Is Stochastic Gradient Descent Effective? A PDE Perspective on Machine Learning processes
Davide Barbieri, Matteo Bonforte, Peio Ibarrondo
Subjects: Machine Learning (cs.LG); Analysis of PDEs (math.AP); Probability (math.PR)
[32] arXiv:2501.08353 (cross-list from physics.flu-dyn) [pdf, html, other]
Title: Analytic Solution of the N-Dimensional Incompressible Navier-Stokes Equations
Nathan Strange
Subjects: Fluid Dynamics (physics.flu-dyn); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)
[33] arXiv:2412.13080 (cross-list from math-ph) [pdf, other]
Title: Derivation of the Chern-Simons-Schr\"odinger equation from the dynamics of an almost-bosonic-anyon gas
Théotime Girardot, Jinyeop Lee
Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

Wed, 15 Jan 2025 (showing 17 of 17 entries )

[34] arXiv:2501.08323 [pdf, html, other]
Title: Maximal estimates and pointwise convergence for solutions of certain dispersive equations with radial initial data on Damek-Ricci spaces
Utsav Dewan
Subjects: Analysis of PDEs (math.AP)
[35] arXiv:2501.08315 [pdf, html, other]
Title: Low Mach number limit for the compressible Navier-Stokes equation with a stationary force
Naoto Deguchi
Comments: 30 pages
Subjects: Analysis of PDEs (math.AP)
[36] arXiv:2501.08128 [pdf, html, other]
Title: On the Resolution of Partial Differential Equations for Lattice Structures on Smooth Manifolds
Francesco D'Agostino
Subjects: Analysis of PDEs (math.AP); Algebraic Geometry (math.AG); Differential Geometry (math.DG)
[37] arXiv:2501.08059 [pdf, html, other]
Title: Time-fractional gradient flows for nonconvex energies in Hilbert spaces
Goro Akagi, Yoshihito Nakajima
Subjects: Analysis of PDEs (math.AP)
[38] arXiv:2501.08027 [pdf, html, other]
Title: Integral representations of lower semicontinuous envelopes and Lavrentiev Phenomenon for non continuous Lagrangians
Tommaso Bertin
Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)
[39] arXiv:2501.07987 [pdf, html, other]
Title: Regularity and structure of non-planar $p$-elasticae
Florian Gruen, Tatsuya Miura
Comments: 31 pages, 6 figures
Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)
[40] arXiv:2501.07940 [pdf, html, other]
Title: Notes on number of one-troughed travelling waves in asymmetrically supported bending beam
Hana Formánková Levá, Gabriela Holubová
Comments: 11 pages, 14 figures
Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)
[41] arXiv:2501.07887 [pdf, html, other]
Title: Blow-up of the one-dimensional wave equation with quadratic spatial derivative nonlinearity
Tej-eddine Ghoul, Jie Liu, Nader Masmoudi
Comments: 49 pages
Subjects: Analysis of PDEs (math.AP)
[42] arXiv:2501.07847 [pdf, html, other]
Title: Existence of weak solutions for nonlinear drift-diffusion equations with measure data
Sukjung Hwang, Kyungkeun Kang, Hwa Kil Kim, Jung-Tae Park
Comments: 20 pages,
Subjects: Analysis of PDEs (math.AP)
[43] arXiv:2501.07831 [pdf, html, other]
Title: Waiting Time Solutions in gas dynamics
Juhi Jang, Jiaqi Liu, Nader Masmoudi
Comments: 2 figures
Subjects: Analysis of PDEs (math.AP)
[44] arXiv:2501.07732 [pdf, other]
Title: The large time asymptotics of nonlinear multichannel Schroedinger equations
Baoping Liu, Avy Soffer
Comments: Revised version and further results of a submitted earlier version(2021). 77 pages
Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)
[45] arXiv:2501.07607 [pdf, html, other]
Title: Asymptotic properties of PDEs in compact spaces
Lucía López-Somoza, F. Adrián F. Tojo
Journal-ref: Journal of Fixed Point Theory and Applications 2021 23:69
Subjects: Analysis of PDEs (math.AP)
[46] arXiv:2501.07900 (cross-list from math-ph) [pdf, html, other]
Title: The one-dimensional equilibrium shape of a crystal
Emanuel Indrei
Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Differential Geometry (math.DG)
[47] arXiv:2501.07874 (cross-list from math.FA) [pdf, html, other]
Title: Constrained differential operators, Sobolev inequalities, and Riesz potentials
Dominic Breit, Andrea Cianchi, Daniel Spector
Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP)
[48] arXiv:2501.07854 (cross-list from math.DG) [pdf, html, other]
Title: Alexandrov-Fenchel type inequalities for hypersurfaces in the sphere
Min Chen
Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)
[49] arXiv:2501.07809 (cross-list from cs.LG) [pdf, html, other]
Title: Conformal mapping Coordinates Physics-Informed Neural Networks (CoCo-PINNs): learning neural networks for designing neutral inclusions
Daehee Cho, Hyeonmin Yun, Jaeyong Lee, Mikyoung Lim
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Analysis of PDEs (math.AP)
[50] arXiv:2501.07400 (cross-list from cs.LG) [pdf, html, other]
Title: Derivation of effective gradient flow equations and dynamical truncation of training data in Deep Learning
Thomas Chen
Comments: AMS Latex, 35 pages
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Analysis of PDEs (math.AP); Optimization and Control (math.OC); Machine Learning (stat.ML)
Total of 106 entries : 1-50 51-100 101-106
Showing up to 50 entries per page: fewer | more | all