On Barenblatt's pseudoparabolic equation with forcing on the half-line via the Fokas method

DOI10.1002/ZAMM.202300614zbMATH Open1548.35201MaRDI QIDQ6541681

Author name not available (Why is that?), A. S. Fokas, E. C. Aifantis

Publication date: 21 May 2024

Published in: ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

Fokas methodBarenblatt's equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Soil and rock mechanics (74L10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Title not available (Why is that?)
• Evolution PDEs and augmented eigenfunctions. half-line
• On the problem of diffusion in solids
• An elementary proof of the lack of null controllability for the heat equation on the half line
• On the integrability of linear and nonlinear partial differential equations
• The nonlinear Schrödinger equation on the half-line
• Synthesis, as Opposed to Separation, of Variables
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• A Unified Approach to Boundary Value Problems
• Lax pairs: a novel type of separability
• ON THE THEORY OF DIFFUSION IN MEDIA WITH DOUBLE DIFFUSIVITY II. BOUNDARY-VALUE PROBLEMS
• A unified transform method for solving linear and certain nonlinear PDEs
• A new transform method for evolution partial differential equations
• Unified Transform for Boundary Value Problems
• The Method of Fokas for Solving Linear Partial Differential Equations
• Pseudoparabolic Partial Differential Equations
• The nonlinear Schrödinger equation on the half‐line with homogeneous Robin boundary conditions
• Boundary behavior for the heat equation on the half‐line
• Boundary behavior of the solution to the linear Korteweg‐De Vries equation on the half line

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