Conformal invariance and new exact solutions of the elastostatics equations

DOI10.1063/1.4977512zbMath1359.74038OpenAlexW2594623516MaRDI QIDQ2974622

Yu. A. Chirkunov

Publication date: 10 April 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4977512

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms
• Submodels of the generalization of the Leith model of the phenomenological theory of turbulence and of the model of nonlinear diffusion in the inhomogeneous media without absorption
• Submodels of model of nonlinear diffusion in the inhomogeneous medium involving absorption
• Self-similar solution in the Leith model of turbulence: anomalous power law and asymptotic analysis
• Invariant solutions for the nonlinear diffusion model of turbulence
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