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Automated dimensional analysis for PDEs

• Authors : Habera, Michal; Zilian, Andreas

Subjects: Mathematical Software; Numerical Analysis

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The direct method of functional separation of variables can provide more exact solutions than the compatibility analysis of PDEs based on a single differential constraint

• Authors : Polyanin, Andrei D.

Subjects: Nonlinear Sciences - Exactly Solvable and Integrable Systems; Mathematical Physics; Mathematics - Analysis of PDEs

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Computational stability analysis of PDEs with integral terms using the PIE framework

• Authors : Shivakumar, Sachin; Peet, Matthew

Subjects: Mathematics - Numerical Analysis; Mathematics - Optimization and Control

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Structural identifiability analysis of PDEs: A case study in continuous age-structured epidemic models

• Authors : Renardy, Marissa; Kirschner, Denise; Eisenberg, Marisa

Subjects: Quantitative Biology - Quantitative Methods

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PREFACE RECENT DEVELOPMENTS ON ANALYSIS OF PDES. PART I

• Authors : Lian, Wei; Lund University, Faculty of Science, Centre for Mathematical Sciences, Mathematics (Faculty of Sciences), Lunds universitet, Naturvetenskapliga fakulteten, Matematikcentrum, Matematik (naturvetenskapliga fakulteten), Originator

Subjects: Natural Sciences; Mathematical Sciences; Naturvetenskap

• Source: Discrete and Continuous Dynamical Systems - Series S. 17(8)

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Analysis of PDEs in Fluid.

• Authors : Choi, Kyudong; Yamazaki, Kazuo; Abe, Ken

Subjects: Euler equations; SQG equations; IPM equations

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Continuity properties of strongly singular integral operators for extreme values of $p$

• Authors : Berra, Fabio; Pradolini, Gladis; Ramos, Wilfredo

Subjects: Classical Analysis and ODEs; Analysis of PDEs; Primary: 42B20, Secondary: 42B15, 35S30

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Correctness of Biot's model of in situ leaching for incompressible liquid and compressible solid components

• Authors : Meirmanov, Anvarbek; Senkebayeva, Akbota

Subjects: Analysis of PDEs; Mathematical Physics

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Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting

• Authors : Gnann, Manuel V.; Lienstromberg, Christina; Nik, Katerina

Subjects: Analysis of PDEs

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Static Vacuum Spacetimes with $Λ<0$ as Attractors of the Ricci-Harmonic Flow

• Authors : Jouttijärvi, Rasmus; Kroencke, Klaus; Yudowitz, Louis

Subjects: Differential Geometry; Analysis of PDEs

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