Traveling Wave Solutions of the Nonlocal Brenner Hydrodynamic Models

DOI10.1142/S0218127414501351zbMath1304.35196OpenAlexW2010759926MaRDI QIDQ5496762

S. I. Skurativskyy

Publication date: 28 January 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127414501351

zbMATH Keywords

traveling wave solutionschaotic attractorshomoclinic loops

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Traveling wave solutions (35C07)

Cites Work

• Bi-velocity hydrodynamics: single-component fluids
• Complicated travelling wave solutions of a modelling system describing media with memory and spatial nonlocality
• Investigations of the autowave solutions of a model of structured media with spatial and temporal nonlocality
• Nonlocal Continuum Field Theories
• On the non-local hydrodynamic-type system and its soliton-like solutions
• The structure of shock waves as a test of Brenner's modifications to the Navier–Stokes equations
• On the governing equations in relaxing media models and self-similar quasiperiodic solutions

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