New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane (Q6645960)

scientific article; zbMATH DE number 7951606

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English	New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane	scientific article; zbMATH DE number 7951606

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title

New instability, blow-up and break-down effects for Sobolev-type evolution PDE: asymptotic analysis for a celebrated pseudo-parabolic model on the quarter-plane (English)

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SN Partial Differential Equations and Applications

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publication date

29 November 2024

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zbMATH Keywords

Sobolev-type evolution equations

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Barenblatt pseudo-parabolic model

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rational dispersion relation

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mathematical physics

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seepage in porous solids

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second-order fluids

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two-temperature heat conduction

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diffusion of radiation

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unified-transform method

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nonhomogeneous initial-boundary-value problems on the quarter-plane

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Robin data

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integral representations in the spectral Fourier plane

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rigorous analysis

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spatiotemporal asymptotics

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instability effects

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MaRDI profile type

Publication

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Identifiers

DOI

10.1007/s42985-024-00296-w

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6645960