Search Results - "Analysis of PDEs (math.AP)"

Unique continuation principles for finite-element discretizations of the Laplacian

Authors: Graham Cox Scott MacLachlan Luke Steeves

Source: Linear Algebra and its Applications. 727:84-111

Subject Terms: Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Spectral Theory (math.SP), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2410.08963

Convergence analysis of a Schrödinger problem with moving boundary

Authors: Daniel G. Alfaro Vigo Daniele C.R. Gomes Bruno A. do Carmo et al.

Source: Mathematics and Computers in Simulation. 238:45-64

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2410.08910

A high-order accurate unconditionally stable bound-preserving numerical scheme for the Cahn-Hilliard-Navier-Stokes equations

Authors: Yali Gao Daozhi Han Sayantan Sarkar

Source: Applied Numerical Mathematics. 217:96-111

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2407.16498

Numerical algorithms for the reconstruction of space-dependent sources in thermoelasticity

Authors: Frederick Maes Karel Van Bockstal

Source: MATHEMATICS AND COMPUTERS IN SIMULATION

Subject Terms: Inverse source problems, Sobolev gradient, IDENTIFICATION, STABILITY, 35A01, 35A02, 35A15, 35A35, 65M32, 65N21, 35R30, Numerical Analysis (math.NA), RECOVERY, Mathematics and Statistics, UNIQUENESS, Mathematics - Analysis of PDEs, Landweber method, EQUATION, FOS: Mathematics, (Conjugate) gradient method, Mathematics - Numerical Analysis, COEFFICIENT, HEAT-SOURCE, Thermoelasticity, Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2410.05775
https://biblio.ugent.be/publication/01JTG3QMGDKZP3B9YHG6994ZCV/file/01JTTQ4XJFNFNHEZDC66KKWJJS
https://biblio.ugent.be/publication/01JTG3QMGDKZP3B9YHG6994ZCV
http://hdl.handle.net/1854/LU-01JTG3QMGDKZP3B9YHG6994ZCV
http://doi.org/10.1016/j.matcom.2025.04.004

Learning Regions of Attraction in Unknown Dynamical Systems via Zubov–Koopman Lifting: Regularities and Convergence

Authors: Yiming Meng Ruikun Zhou Jun Liu

Source: IEEE Transactions on Automatic Control. 70:6672-6687

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2311.15119

A Global Existence Result for Weakly Coupled Two-Phase Poromechanics

Authors: Jakub W. Both Clément Cancès Cancès, Clément

Contributors: Jakub W. Both Clément Cancès Cancès, Clément

Source: SIAM Journal on Mathematical Analysis. 57:4995-5038

Subject Terms: global existence, Mathematics - Analysis of PDEs, two-phase porous media flows, Poromechanics, FOS: Mathematics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2312.01708
https://hal.science/hal-04316962v1
https://hal.science/hal-04316962v1/document
https://doi.org/10.1137/24m1688783

The Equations of Extended Magnetohydrodynamics

Authors: Besse, Nicolas Cheverry, Christophe

Contributors: Besse, Nicolas Cheverry, Christophe

Source: SIAM Journal on Mathematical Analysis. 57:4519-4555

Subject Terms: Hyperbolic-parabolic symmetric systems of conservation laws Initial value problem for nonlinear systems of PDEs Partially elliptic systems Compressible and incompressible fluid mechanics Plasma physics Hall, Inertial and Extended Magnetohydrodynamics Pseudo-differential operators Weyl quantization, Weyl quantization, 7. Clean energy, Plasma physics, Mathematics - Analysis of PDEs, Pseudo-differential operators, Hall, FOS: Mathematics, Inertial and Extended Magnetohydrodynamics, Hyperbolic-parabolic symmetric systems of conservation laws, Compressible and incompressible fluid mechanics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Initial value problem for nonlinear systems of PDEs, Partially elliptic systems, Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2406.17356
https://hal.science/hal-04622238v1
https://doi.org/10.1137/24m1702532
https://hal.science/hal-04622238v1/document

Embedded Corrector Problems for Homogenization in Linear Elasticity

Authors: Ehrlacher, Virginie Legoll, Frederic Stamm, Benjamin et al.

Contributors: Ehrlacher, Virginie Legoll, Frederic Stamm, Benjamin et al.

Source: Multiscale Modeling & Simulation. 23:1236-1273

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2307.03537
https://hal.science/hal-04157434v1

Long-time behavior of the Stokes-transport system in a channel

Authors: Dalibard, Anne-Laure Guillod, Julien Leblond, Antoine

Contributors: Dalibard, Anne-Laure Guillod, Julien Leblond, Antoine

Source: Analysis & PDE. 18:1955-2032

Subject Terms: 35B35, 35B40, 35M13, 35D35, 35Q49, 76D07, 76D10, Analysis of PDEs, FOS: Mathematics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2306.00780
https://hal.science/hal-04114516v1
https://doi.org/10.2140/apde.2025.18.1955

Stabilization of an unstable reaction-diffusion PDE with input delay despite state and input quantization

Authors: Koudohode Florent(http://users.isc.tuc.gr/~fkoudohode) Μπεκιαρης-Λυμπερης Νικολαος(http://users.isc.tuc.gr/~nlimperis) Bekiaris-Liberis Nikolaos(http://users.isc.tuc.gr/~nlimperis)

Source: 2025 American Control Conference (ACC)

Subject Terms: Mathematics - Analysis of PDEs, Backstepping, Quantization, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control, Reaction-diffusion PDE, Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/abs/2501.15924
http://purl.tuc.gr/dl/dias/732B793A-39DE-4326-B071-34FBD8635A3F

Asymptotic behavior of solutions of a time–space fractional diffusive Volterra equation

Authors: Mokhtar Kirane Sofwah Ahmad

Source: Mathematics and Computers in Simulation. 240:1071-1082

Subject Terms: Mathematics - Analysis of PDEs, 26A33, 35B09, 35B40, 34K37, 35R09, 35R11, FOS: Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2502.14725

Existence and regularity of weak solutions for mixed local and nonlocal semilinear elliptic equations

Authors: Cheng, Fuwei Su, Xifeng Zhang, Jiwen

Source: Discrete and Continuous Dynamical Systems. 47:341-367

Subject Terms: Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2508.01162

Dynamics and pattern formation in a diffusive Beddington-DeAngelis predator-prey model with fear effect

Authors: Myint, Aung Zaw May, Aye Chan Lwin, Mya Hnin et al.

Source: Discrete and Continuous Dynamical Systems - B. 31:359-376

Subject Terms: 35A01, 35B45, 35B09, 92D25, Analysis of PDEs, FOS: Mathematics, Dynamical Systems (math.DS), Dynamical Systems, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2506.22070

Solutions with large number of peaks for a slightly supercritical nonlinear equation in dimension three

Authors: Pu, Yixing

Source: Discrete and Continuous Dynamical Systems. 46:454-474

Subject Terms: Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2506.01652

Non-harmonic analysis of the wave equation for Schrödinger operator with complex potential

Authors: Dasgupta, Aparajita Mohan, Lalit Mondal, Shyam Swarup

Source: Discrete and Continuous Dynamical Systems. 47:60-86

Subject Terms: Primary 46F05, Secondary 58J40, 22E30, Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2409.03027

Dispersion of compressible rotating Euler equations with low Mach and Rossby numbers

Authors: Mu, Pengcheng

Source: Discrete and Continuous Dynamical Systems. 47:457-486

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2410.13468

Nonstationary Stokes equations on a domain with curved boundary under slip boundary conditions

Authors: Dong, Hongjie Kwon, Hyunwoo

Source: Discrete and Continuous Dynamical Systems. 46:80-113

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, 76D03, 76D07, 35K51, 35B45, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2408.17321

A uniform-in-time nonlocal approximation of the standard Fokker-Planck equation

Authors: Cañizo, José A. Tassi, Niccolò

Source: Discrete and Continuous Dynamical Systems. 46:348-386

Subject Terms: Mathematics - Analysis of PDEs, Probability (math.PR), FOS: Mathematics, Mathematics - Probability, 35B40 (Primary) 35C10, 35R09, 45K05, 60F15, 60J76 (Secondary), Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2407.03870

Small and large data scattering for the dispersion-managed NLS

Authors: Kawakami, Jumpei Murphy, Jason

Source: Discrete and Continuous Dynamical Systems. 47:256-285

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2407.11151

On an eigenvalue problem associated with mixed operators under mixed boundary conditions

Authors: Giacomoni, Jacques Mukherjee, Tuhina Sharma, Lovelesh

Source: Discrete and Continuous Dynamical Systems. 46:159-194

Subject Terms: Mathematics - Analysis of PDEs, FOS: Mathematics, 47A75, 35J25, 35J20, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2411.16499