EXISTENCE AND UNIQUENESS OF THE WEAK SOLUTION FOR A NONLINEAR REACTION-DIFFUSION SYSTEM IN SPACES BY SOBOLEV

DOI10.56827/jrsmms.2023.1002.5zbMath1527.35258OpenAlexW4387304397MaRDI QIDQ6054596

Unnamed Author, Yoro Gozo, Unnamed Author

Publication date: 28 September 2023

Published in: JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES (Search for Journal in Brave)

Full work available at URL: https://rsmams.org/journals/articleinfo.php?articleid=850&tag=jrsmams

zbMATH Keywords

compressible systemuniqueness and differentiability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Weak solutions to PDEs (35D30) Physiological flows (76Z05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Some diffusive capillary models of Korteweg type
• Ordinary differential equations, transport theory and Sobolev spaces
• An existence theorem for non-homogeneous incompressible fluids
• Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density
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