Globally conservative weak solutions for a class of two-component nonlinear dispersive wave equations beyond wave breaking

Authors: Zhou, Yonghui, Li, Xiaowan, Ji, Shuguan

Source: Journal of Differential Equations. 427:538-559

Subject Terms: Initial value problems for systems of nonlinear higher-order PDEs, wave breaking, two-component nonlinear dispersive wave equations, globally conservative solutions, Methods of ordinary differential equations applied to PDEs, Weak solutions to PDEs

File Description: application/xml

Access URL: https://zbmath.org/8017129
https://doi.org/10.1016/j.jde.2025.01.089

An epidemic model with strain mutation, cross-immunity and animal-human interaction

Authors: Banerjee, Malay, Volpert, Vitaly, Ducrot, Arnaud, Ghosh, Samiran

Contributors: Indian Institute of Technology Kanpur (IIT Kanpur), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Modélisation mathématique, calcul scientifique (MMCS), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Laboratoire de Mathématiques Appliquées du Havre (LMAH), Université Le Havre Normandie (ULH), Normandie Université (NU)-Normandie Université (NU)

Source: Mathematics and Mechanics of Complex Systems. 12:359-387

Subject Terms: Medical epidemiology, strain mutation, Epidemiology, PDEs in connection with biology, chemistry and other natural sciences, reaction-diffusion, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Methods of ordinary differential equations applied to PDEs, epidemic model, Reaction-diffusion equations, [MATH]Mathematics [math], Computational methods for problems pertaining to biology, animal-human interaction, cross-immunity

File Description: application/xml

Access URL: https://zbmath.org/7984075
https://doi.org/10.2140/memocs.2024.12.359

Ill-posedness for the gCH-mCH equation in Besov spaces

Authors: Yu, Yanghai, Wang, Hui

Source: Monatshefte für Mathematik. 206:471-487

Subject Terms: FQXL/gCH-mCH equation, KdV equations (Korteweg-de Vries equations), Soliton solutions, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Ill-posed problems for PDEs, Methods of ordinary differential equations applied to PDEs, ill-posedness, Besov space

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Gray and black solitons of nonlocal Gross–Pitaevskii equations: existence, monotonicity and nonlocal-to-local limit: Gray and black solitons of nonlocal Gross-Pitaevskii equations: existence, monotonicity and nonlocal-to-local limit

Authors: de Laire, André, López-Martínez, Salvador

Contributors: De Laire, André

Source: Calculus of Variations and Partial Differential Equations. 64

Subject Terms: dark solitons, NLS equations (nonlinear Schrödinger equations), Existence problems for PDEs: global existence, local existence, non-existence, [MATH] Mathematics [math], Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, Methods of ordinary differential equations applied to PDEs, nonzero boundary conditions at infinity, General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws, Traveling wave solutions, Gross-Pitaevskii equations, traveling waves, Mathematics - Analysis of PDEs, Soliton solutions, nonlocal optical solitons, solitons, FOS: Mathematics, defocusing nonlocal Schrödinger equation, Gross-Pitaevskii equation, Analysis of PDEs (math.AP)

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2408.03870
https://zbmath.org/8032681
https://doi.org/10.1007/s00526-025-03000-x
https://hal.science/hal-04669342v2
https://hal.science/hal-04669342v2/document
https://doi.org/10.1007/s00526-025-03000-x

Stable Space-Like Singularity Formation for Axi-symmetric and Polarized Near-Schwarzschild Black Hole Interiors: Stable space-like singularity formation for axi-symmetric and polarized near-Schwarzschild black hole interiors

Authors: Alexakis, Spyros, Fournodavlos, Grigorios

Contributors: HEP, INSPIRE

Source: Annals of PDE. 11

Subject Terms: Einstein equations, Mathematics - Differential Geometry, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Perturbations of PDEs on manifolds, asymptotics, Methods of ordinary differential equations applied to PDEs, 01 natural sciences, General Relativity and Quantum Cosmology, Black Hole Singularities, Mathematics - Analysis of PDEs, strong cosmic censorship, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, AVTD, Strong Cosmic Censorship, black hole singularities, Singularity, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Black holes, Mixmaster, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Schwarzschild, singularity, Differential Geometry (math.DG), 83C75 (Primary), 35L72 (secondary), Space-time singularities, cosmic censorship, etc, mixmaster, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2004.00692
https://zbmath.org/8032142
https://doi.org/10.1007/s40818-025-00200-8
https://hal.science/hal-02550130v1
https://doi.org/10.1007/s40818-025-00200-8

Thermal dynamics in electrically conducting tangent hyperbolic nanofluid flow: Hybrid‐empirical modelling approach using RSM: Thermal dynamics in electrically conducting tangent hyperbolic nanofluid flow: hybrid-empirical modelling approach using RSM

Authors: Zheng Mingliang, Zaheer Asghar, Dilawar Hussain, Emad A. A. Ismail, Fuad A. Awwad, Ahmed Zeeshan, Nouman Ijaz

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 105

Subject Terms: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Physiological flow, Optimal statistical designs, response surface methodology (RSM), Suspensions, fluid mechanics, Non-Newtonian fluids, heat transfer, electrically conducting nanofluid flow, Magnetohydrodynamics and electrohydrodynamics, Diffusive and convective heat and mass transfer, heat flow, PDEs in connection with fluid mechanics, Methods of ordinary differential equations applied to PDEs

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Access URL: https://zbmath.org/8005487
https://doi.org/10.1002/zamm.202400770

Scalar Auxiliary Variable (SAV) Stabilization of Implicit‐Explicit (IMEX) Time Integration Schemes for Non‐Linear Structural Dynamics: Scalar auxiliary variable (SAV) stabilization of implicit-explicit (IMEX) Time integration schemes for non-linear structural dynamics

Authors: Sun‐Beom Kwon, Arun Prakash

Source: International Journal for Numerical Methods in Engineering. 126

Subject Terms: energy stability, Numerical Analysis, high-order time integration scheme, implicit-explicit, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Methods of ordinary differential equations applied to PDEs, structural dynamics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, error analysis, scalar auxiliary variable

File Description: application/xml

Access URL: http://arxiv.org/abs/2406.02839
https://zbmath.org/7991400
https://doi.org/10.1002/nme.7660

Effective chaos for the Kirchhoff equation on tori

Authors: Baldi, Pietro, Giuliani, Filippo, Guardia, Marcel, Haus, Emanuele

Source: Annales de l'Institut Henri Poincaré C

Subject Terms: chaotic dynamics, Chaotic behavior of solutions to dynamical problems in solid mechanics, resonances for Hamiltonian PDEs, Dynamical Systems (math.DS), Methods of ordinary differential equations applied to PDEs, effective chaos, 01 natural sciences, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, Mathematics - Analysis of PDEs, 37D45, 74H65, 35A24, 35B34, FOS: Mathematics, Resonance in context of PDEs, quasilinear PDEs, Mathematics - Dynamical Systems, 0101 mathematics, Kirchhoff equation, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2303.00688
https://zbmath.org/8017565
https://doi.org/10.4171/aihpc/110
https://ems.press/journals/aihpc/articles/14199192
https://hdl.handle.net/11588/992427
https://ems.press/journals/aihpc/articles/14199192
https://hdl.handle.net/11588/992427
https://doi.org/10.4171/AIHPC/110

For the Shallow Water Waves: Bilinear-Form and Similarity-Reduction Studies on a Boussinesq-Burgers System: For the shallow water waves: bilinear-form and similarity-reduction studies on a Boussinesq-Burgers system

Authors: Gao, Xiao-Tian, Tian, Bo, Zhou, Tian-Yu, Shen, Yuan, Feng, Chun-Hui

Source: International Journal of Theoretical Physics. 63

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Boussinesq-Burgers system, Soliton solutions, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), shallow water waves, similarity reductions, bilinear forms through the Hirota method, PDEs in connection with fluid mechanics, Symbolic computation and algebraic computation, Methods of ordinary differential equations applied to PDEs

File Description: application/xml

Access URL: https://zbmath.org/7898343
https://doi.org/10.1007/s10773-024-05715-7

A POD based reduced-order local RBF collocation approach for time-dependent nonlocal diffusion problems

Authors: Jiashu Lu, Lei Zhang, Xuncheng Guo, Qiong Qi

Source: Applied Mathematics Letters. 160:109328

Subject Terms: nonlocal models, Numerical interpolation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Numerical radial basis function approximation, fast algorithm, model reduction, radial basis functions, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Methods of ordinary differential equations applied to PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Numerical computation using splines

File Description: application/xml

Bifurcation, phase portrait and traveling wave solution of time-fractional thin-film ferroelectric material equation with beta fractional derivative

Authors: Zhao Li, Chen Peng

Source: Physics Letters A. 484:129080

Subject Terms: Bifurcations in context of PDEs, Soliton solutions, Fractional derivatives and integrals, Statistical mechanics of ferroelectrics, Thin films, bifurcation, phase portrait, time-fractional thin-film ferroelectric material equation, Methods of ordinary differential equations applied to PDEs, Fractional partial differential equations, beta fractional derivative, Traveling wave solutions, PDEs in connection with statistical mechanics

File Description: application/xml

Mixed convection in the stagnation-point flow of a Maxwell fluid towards a vertical stretching surface

Authors: Tasawar Hayat, Yongqi Wang, Martin Oberlack, Zaheer Abbas

Source: Nonlinear Analysis: Real World Applications. 11:3218-3228

Subject Terms: numerical solution, HAM solution, Maxwell fluid, PDEs in connection with fluid mechanics, Methods of ordinary differential equations applied to PDEs, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, heat transfer, 0103 physical sciences, Heat and mass transfer, heat flow, stagnation-point flow, Viscoelastic fluids, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, stretching sheet

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S146812180900340X
https://tubiblio.ulb.tu-darmstadt.de/52737/

Solutions of generalized simple wave type of magnetic fluid

Authors: S.V. Meleshko, S. Moyo, G.M. Webb

Source: Communications in Nonlinear Science and Numerical Simulation. 103:105991

Subject Terms: Lie group of transformations, Representations of solutions to partial differential equations, method of differential constraints, Gas dynamics (general theory), PDEs in connection with fluid mechanics, Methods of ordinary differential equations applied to PDEs, 01 natural sciences, magneto-gas dynamics equations, Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics, Transform methods (e.g., integral transforms) applied to PDEs, Riemann (simple) wave, 0103 physical sciences, Magnetohydrodynamics and electrohydrodynamics, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/7427950
https://doi.org/10.1016/j.cnsns.2021.105991
https://www.sciencedirect.com/science/article/pii/S1007570421003038

Approximate analytical solutions to thermo-poro-elastic equations

Authors: Yürüsoy, M., Pakdemirli, M., Noyan, Ö. F.

Subject Terms: perturbation methods, Thermal effects in solid mechanics, similarity transformations, Flows in porous media, filtration, seepage, thermo-poro-elastic equations, Series solutions to PDEs, Methods of ordinary differential equations applied to PDEs

File Description: application/xml

Access URL: https://zbmath.org/2161627

The nonexistence of entire solutions for a class of quasilinear elliptic equation

Authors: Zhang, Yong, Zhao, Peihao, Yin, Lixia

Subject Terms: quasilinear elliptic equation, Quasilinear elliptic equations, nonexistence, Entire solutions to PDEs, entire solution, Methods of ordinary differential equations applied to PDEs

File Description: application/xml

Access URL: https://zbmath.org/5671342