Analysis of PDEs

Authors and titles for math.AP in Dec 2020, skipping first 425

[426]  arXiv:2012.15338 (cross-list from math.PR) [pdf, ps, other]

Title: On the differentiability of solutions to singularly perturbed SPDEs

Authors: Carlo Marinelli

Comments: 11 pages

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

[427]  arXiv:2012.15530 (cross-list from math.DG) [pdf, ps, other]

Title: Area minimizing surfaces in homotopy classes in metric spaces

Authors: Elefterios Soultanis, Stefan Wenger

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

[428]  arXiv:2012.15767 (cross-list from math.DG) [pdf, ps, other]

Title: The Obata first eigenvalue theorems on a seven dimensional quaternionic contact manifold

Authors: Abdelrahman Mohamed, Dimiter Vassilev

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

[429]  arXiv:2012.02849 (cross-list from physics.flu-dyn) [pdf, ps, other]

Title: Velocity of viscous fingers in miscible displacement

Authors: F. Bakharev, A. Enin, A. Groman, A. Kalyuzhnuk, S. Matveenko, Yu. Petrova, I.Starkov, S. Tikhomirov

Journal-ref: J. Comput. Appl. Math. 402:113808, 2022

Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[430]  arXiv:2012.03303 (cross-list from physics.bio-ph) [pdf, other]

Title: A Tridomain Model for Potassium Clearance in Optic Nerve of Necturus

Authors: Yi Zhu, Shixin Xu, Robert S. Eisenberg, Huaxiong Huang

Comments: 35 pages, 13 figures

Subjects: Biological Physics (physics.bio-ph); Analysis of PDEs (math.AP); Neurons and Cognition (q-bio.NC)

[431]  arXiv:2012.03772 (cross-list from cs.LG) [pdf, ps, other]

Title: Continuum Limit of Lipschitz Learning on Graphs

Authors: Tim Roith, Leon Bungert

Comments: 39 pages, added acknowledgement, corrected typos

Journal-ref: Found Comput Math (2022)

Subjects: Machine Learning (cs.LG); Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[432]  arXiv:2012.04070 (cross-list from physics.flu-dyn) [pdf, other]

Title: Mathematical Analysis of a Model of Blood Flow through a Channel with Flexible Walls

Authors: Marianna A. Shubov, Madeline M. Edwards

Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP)

[433]  arXiv:2012.09074 (cross-list from astro-ph.CO) [pdf, other]

Title: A fast semi-discrete optimal transport algorithm for a unique reconstruction of the early Universe

Authors: Bruno Lévy, Roya Mohayaee, Sebastian von Hausegger

Comments: 22 pages

Subjects: Cosmology and Nongalactic Astrophysics (astro-ph.CO); Analysis of PDEs (math.AP); Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[434]  arXiv:2012.10115 (cross-list from q-bio.PE) [pdf, ps, other]

Title: Evolutionary dynamics of complex traits in sexual populations in a strongly heterogeneous environment: how normal?

Authors: Léonard Dekens

Subjects: Populations and Evolution (q-bio.PE); Analysis of PDEs (math.AP)

[435]  arXiv:2012.14492 (cross-list from hep-th) [pdf, ps, other]

Title: Hypergeometric Functions and Feynman Diagrams

Authors: Mikhail Kalmykov, Vladimir Bytev, Bernd Kniehl, Sven-Olaf Moch, Bennie Ward, Scott Yost

Comments: Based on the talk given by M.Kalmykov at the workshop "Antidifferentiation and the Calculation of Feynman Amplitudes" Zeuthen, 4.10.2020-9.10.2020; v2: few references added, small style corrections

Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[436]  arXiv:2012.14918 (cross-list from physics.flu-dyn) [pdf, other]

Title: Input-output analysis of stochastic base flow uncertainty

Authors: Dhanushki Hewawaduge, Armin Zare

Comments: 29 pages, 20 figures

Journal-ref: Phys. Rev. Fluids 7 (2022) 073901

Subjects: Fluid Dynamics (physics.flu-dyn); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[437]  arXiv:2012.15344 (cross-list from nlin.SI) [pdf, ps, other]

Title: Instability of double-periodic waves in the nonlinear Schrodinger equation

Authors: Dmitry E. Pelinovsky

Comments: 15 pages, 7 figures

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS); Pattern Formation and Solitons (nlin.PS)

[438]  arXiv:2012.15448 (cross-list from q-bio.PE) [pdf, other]

Title: Light driven interactions in spatial predator-prey model with toxicant chemotaxis

Authors: A. Ibragimov, A. Peace

Subjects: Populations and Evolution (q-bio.PE); Analysis of PDEs (math.AP)

[439]  arXiv:2012.15538 (cross-list from nlin.SI) [pdf, ps, other]

Title: Parity-time-symmetric vector rational rogue wave solutions in any n-component nonlinear Schrödinger models

Authors: Guoqiang Zhang, Liming Ling, Zhenya Yan, Vladimir V. Konotop

Comments: 6 pages, 3 figures

Journal-ref: Chaos 31, 063120 (2021)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Optics (physics.optics)

[440]  arXiv:2012.15603 (cross-list from nlin.SI) [pdf, ps, other]

Title: Higher-order vector Peregrine solitons and asymptotic estimates for the multi-component nonlinear Schrödinger equations

Authors: Guoqiang Zhang, Liming Ling, Zhenya Yan

Comments: 42 pages, 7 figures

Journal-ref: Journal of Nonlinear Science 31 (2021) 81

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Pattern Formation and Solitons (nlin.PS); Computational Physics (physics.comp-ph)