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Long time behavior of the field-road diffusion model: an entropy method and a finite volume scheme

• Authors : Alfaro, Matthieu; Chainais-Hillairet, Claire;

Subjects: field-road model long time behavior finite-volume method entropy dissipation entropy construction method functional inequalities AMS Subject Classifications: 35K40 35B40 65M08 65M12; field-road model; long time behavior

• Source: ISSN: 1569-3953 ; Journal of Numerical Mathematics ; https://hal.science/hal-04217897 ; Journal of Numerical Mathematics, In press.

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Solving inverse source wave problem from Carleman estimates to observer design

• Authors : Boulakia, Muriel; de Buhan, Maya; Delaunay, Tiphaine ...

Subjects: [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

• Source: ISSN: 2156-8472.

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Uniform concentration property for Griffith almost-minimizers

• Authors : Labourie, Camille; Lemenant, Antoine;

Subjects: Griffith functional; uniform concentration property; blow-up limits

• Source: ISSN: 0021-7824 ; Journal de Mathématiques Pures et Appliquées ; https://hal.science/hal-04328837 ; Journal de Mathématiques Pures et Appliquées, 2025, 194,

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Volume-Preserving Geometric Shape Optimization of the Dirichlet Energy Using Variational Neural Networks

• Authors : Bélières--Frendo, Amaury; Franck, Emmanuel; Michel-Dansac, Victor ...

Subjects: Shape optimization; Dirichlet energy; volume constraint

• Source: ISSN: 0893-6080 ; Neural Networks ; https://hal.science/hal-04663197 ; Neural Networks, 2025, 184, pp.106957. ⟨10.1016/j.neunet.2024.106957⟩.

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Effective models for generalized Newtonian fluids through a thin porous media following the Carreau law

• Authors : Anguiano, María; Bonnivard, Matthieu; Suárez-Grau, Francisco J. ...

Subjects: Homogenization; non-Newtonian fluid; Carreau law

• Source: ISSN: 0044-2267.

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Global existence and boundedness of solutions to a fully parabolic chemotaxis system with indirect signal production in $\mathbb{R}^4$

• Authors : Hosono, Tatsuya; Laurençot, Philippe;

Subjects: chemotaxis system; global existence; boundedness

• Source: ISSN: 0022-0396.

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Tensor rectifiable G-flat chains

• Authors : Goldman, Michael; Merlet, Benoît;

Subjects: [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]; [MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG]

• Source: ISSN: 0002-9947.

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Kinetic-fluid boundary layers and acoustic limit for the Boltzmann equation with general Maxwell reflection boundary condition ...

• Authors : Jiang, Ning; Wu, Yulong

Subjects: Analysis of PDEs math.AP; FOS: Mathematics; 35Q20, 76N20, 82C40, 35B40

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Analytical and Numerical Study of a Convection-Diffusion-Reaction-Source Problem in Multilayered Materials ...

• Authors : Umbricht, Guillermo Federico; Tarzia, Domingo Alberto; Rubio, Diana

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

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On the Resolution of Partial Differential Equations for Lattice Structures on Smooth Manifolds ...

• Authors : D'Agostino, Francesco

Subjects: Analysis of PDEs math.AP; Algebraic Geometry math.AG; Differential Geometry math.DG

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