Attractors for a Navier–Stokes–Allen–Cahn system with unmatched densities: Attractors for a Navier-Stokes-Allen-Cahn system with unmatched densities

Συγγραφείς: Chunyou Sun, Junyan Tan

Πηγή: Communications in Analysis and Mechanics, Vol 17, Iss 1, Pp 237-262 (2025)

Θεματικοί όροι: two phase flow, singular Flory-Huggins potential, navier–stokes–allen–cahn system, QA801-939, Analytic mechanics, Attractors, Liquid-liquid two component flows, global attractor, Navier-Stokes-Allen-Cahn system, PDEs in connection with fluid mechanics, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, singular flory–huggins potential, dissipativity

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036321
https://doi.org/10.3934/cam.2025010
https://doaj.org/article/a189b570e45b4528879b560c0f4aff5d

Measure-valued solutions to a generalized Landau–Lifshitz–Bloch equation: Measure-valued solutions to a generalized Landau-Lifshitz-Bloch equation

Συγγραφείς: Chahid Ayouch, Driss Meskine, Mouhcine Tilioua

Πηγή: Zeitschrift für Analysis und ihre Anwendungen. 44:1-15

Θεματικοί όροι: Initial-boundary value problems for systems of nonlinear higher-order PDEs, Statistical mechanics of magnetic materials, Young measures, Existence problems for PDEs: global existence, local existence, non-existence, PDEs with measure, Weak solutions to PDEs, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, PDEs in connection with optics and electromagnetic theory, Landau-Lifshitz-Bloch equation, measure-valued solutions

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Σύνδεσμος πρόσβασης: https://zbmath.org/8021679
https://doi.org/10.4171/zaa/1783

Dynamics of a generalist predator–prey model in closed advective environments: Dynamics of a generalist predator-prey model in closed advective environments

Συγγραφείς: Qi Wang

Πηγή: Mathematical Methods in the Applied Sciences. 47:13383-13403

Θεματικοί όροι: advective environments, generalist predator, stability, Stability theory for smooth dynamical systems, 01 natural sciences, Dynamical systems in biology, Population dynamics (general), Reaction-diffusion equations, 0103 physical sciences, Nonlinear parabolic equations, predator-prey model, 0101 mathematics, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, Stability in context of PDEs

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Energy Stability of Adaptive Exponential Time Difference Runge-Kutta Method (ETDRK32): Energy stability of adaptive exponential time difference Runge-Kutta method (ETDRK32)

Συγγραφείς: Hengli Yang, Weichen Cao, Wenbin Chen

Πηγή: Journal of Scientific Computing. 103

Θεματικοί όροι: gradient flow, long time unconditional energy stability, Nonlinear parabolic equations, third-order ETDRK scheme, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8022431
https://doi.org/10.1007/s10915-025-02840-1

A Crank–Nicolson ADI compact difference scheme for the three-dimensional nonlocal evolution problem with a weakly singular kernel: A Crank-Nicolson ADI compact difference scheme for the three-dimensional nonlocal evolution problem with a weakly singular kernel

Συγγραφείς: Liu, Kai, He, Zhangming, Zhang, Haixiang, Yang, Xuehua

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: partial integro-differential equation, stability and convergence, Stability and convergence of numerical methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, compact difference scheme, weakly singular kernel, alternating direction implicit

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Σύνδεσμος πρόσβασης: https://zbmath.org/8034163
https://doi.org/10.1007/s40314-025-03125-x

Allen–Cahn equation with matrix-valued anisotropic mobility in two-dimensional space: Allen-Cahn equation with matrix-valued anisotropic mobility in two-dimensional space

Συγγραφείς: Lee, Gyeonggyu, Lee, Seunggyu

Πηγή: Computational and Applied Mathematics. 44

Θεματικοί όροι: unconditionally energy-gradient stable scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, anisotropic mobility, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Allen-Cahn equation

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A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters: A third-order implicit-explicit Runge-Kutta method for Landau-Lifshitz equation with arbitrary damping parameters

Συγγραφείς: Gui, Yan, Du, Rui, Wang, Cheng

Πηγή: Numerical Mathematics: Theory, Methods and Applications. 17:1041-1073

Θεματικοί όροι: Finite difference methods for boundary value problems involving PDEs, third-order, Landau-Lifshitz equation, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for boundary value problems involving PDEs, linear systems with constant coefficients, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, implicit-explicit Runge-Kutta time discretization, arbitrary damping, 7. Clean energy

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2407.05253
https://zbmath.org/7966456
https://doi.org/10.4208/nmtma.oa-2024-0036

Numerical treatment of Burgers' equation based on weakly L-stable generalized time integration formula with the NSFD scheme: Numerical treatment of Burgers' equation based on weakly \(L\)-stable generalized time integration formula with the NSFD scheme

Συγγραφείς: Mukesh Kumar Rawani, Amit Kumar Verma, Lajja Verma

Πηγή: Applied Mathematics and Computation. 467:128485

Θεματικοί όροι: Nonstandard finite difference scheme, KdV equations (Korteweg-de Vries equations), Burgers' equation, \(L\)-stable, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Hermite interpolation, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/7834029
https://doi.org/10.1016/j.amc.2023.128485

Well posedness of nonlinear parabolic systems beyond duality

Συγγραφείς: Jan Burczak, Sebastian Schwarzacher, Miroslav Bulíček

Πηγή: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 36:1467-1500

Θεματικοί όροι: 35D99, 35K51, 35K61, 35A01, 35A02, parabolic Lipschitz approximation, existence, uniqueness, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, 01 natural sciences, Muckenhoupt weights, Mathematics - Analysis of PDEs, very weak solution, FOS: Mathematics, weighted estimates, Initial-boundary value problems for second-order parabolic systems, nonlinear parabolic systems, 0101 mathematics, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1810.05061
http://arxiv.org/abs/1810.05061
https://zbmath.org/7086586
https://doi.org/10.1016/j.anihpc.2019.01.004
https://arxiv.org/abs/1810.05061
https://arxiv.org/pdf/1810.05061.pdf
https://ui.adsabs.harvard.edu/abs/2019AIHPC..36.1467B/abstract
https://www.sciencedirect.com/science/article/pii/S0294144919300149

Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system

Συγγραφείς: Chen, Wenbin, Liu, Qianqian, Shen, Jie

Θεματικοί όροι: parabolic-elliptic systems, finite element method, Numerical Analysis (math.NA), finite-time blowup, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, error estimates, Cell movement (chemotaxis, etc.), FOS: Mathematics, Nonlinear parabolic equations, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2212.07655
https://zbmath.org/7524471

Problème aux limites aux dérivées tangentielles pour l'équation parabolique

Συγγραφείς: W. Pogorzelski

Πηγή: Annales scientifiques de l'École normale supérieure. 75:19-35

Θεματικοί όροι: second order parabolic equation, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, nonlinear boundary value problem

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Σύνδεσμος πρόσβασης: http://www.numdam.org/article/ASENS_1958_3_75_1_19_0.pdf
https://zbmath.org/3135304
https://doi.org/10.24033/asens.1063
http://www.numdam.org/item/10.24033/asens.1063.pdf
http://www.numdam.org/item?id=ASENS_1958_3_75_1_19_0
http://www.numdam.org/item/ASENS_1958_3_75_1_19_0/
https://eudml.org/doc/81731

Numerical discretization of some nonlinear equation of parabolic type with discontinuous solution

Συγγραφείς: Lyashko, I. I., Skopetskii, V. V., Deineka, V. S.

Θεματικοί όροι: Quasilinear parabolic equations, quasilinear parabolic equation, convergence, Error bounds for boundary value problems involving PDEs, semidiscrete Galerkin method, discontinuous solution, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3999209

The second boundary value problem on the half plane for a parabolic system with discontinuous coefficients.

Συγγραφείς: Zhumabekov, L. Zh., Buralkhiev, S.

Θεματικοί όροι: second boundary value problem, half plane, parabolic system, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, discontinuous coefficients, Second-order parabolic systems

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Σύνδεσμος πρόσβασης: https://zbmath.org/3310306

Investigation of the Cauchy problem for quasilinear differential equations of the parabolic type in a Banach space

Συγγραφείς: Abdulkerimov, L. Sh., Yakubov, S. Ya.

Θεματικοί όροι: Cauchy problem, Banach space, quasilinear parabolic equations, Nonlinear differential equations in abstract spaces, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, Semilinear parabolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3295198

On the validity of truncation for infinite systems of ordinary differential equations associated with nonlinear partial differential equations

Συγγραφείς: Bellman, Richard

Θεματικοί όροι: nonlinear parabolic equations, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3302631

Équations paraboliques quasilinéaires

Συγγραφείς: Edmunds, David E., Peletier, Lambertus A.

Θεματικοί όροι: quasilinear parabolic equations, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3289760

A priori estimation of solutions of linear parabolic equations and of boundary value problems for a certain class of quasilinear parabolic equations

Συγγραφείς: Kruzhkov, S. N.

Θεματικοί όροι: Quasilinear parabolic equations, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, a priori estimates, boundary value problems, quasilinear parabolic equations, Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, A priori estimates in context of PDEs, solutions of linear parabolic equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3239896

On continuous dependence of solutions of some parabolic boundary value problems on parameters

Συγγραφείς: Sirchenko, Z. F., Èndzhirgli, L. P., Èĭdel'man, S. D.

Θεματικοί όροι: Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3341451