Conservations laws for a porous medium equation through nonclassical generators

DOI10.1016/j.cnsns.2013.06.013zbMath1344.35099OpenAlexW2026040158MaRDI QIDQ314371

Maria Luz Gandarias

Publication date: 13 September 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.06.013

zbMATH Keywords

conservation lawssymmetriespartial differential equationsself-adjointnessnonlinear self-adjointnessquasi self-adjointnessweak self-adjointness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

The Liouville theorem of a torsion system and its application to symmetry group of a porous medium type equation on symmetric spaces ⋮ Conservation laws for time-fractional subdiffusion and diffusion-wave equations

Cites Work

• Weak self-adjointness and conservation laws for a porous medium equation
• Self-adjoint sub-classes of third and fourth-order evolution equations
• A new conservation theorem
• Noether-type symmetries and conservation laws via partial Lagrangians
• Integrating factors, adjoint equations and Lagrangians
• Self-adjointness and conservation laws of a generalized Burgers equation
• Weak self-adjoint differential equations
• Quasi self-adjoint nonlinear wave equations
• Nonlinear self-adjointness and conservation laws
• Nonlinear self-adjointness of a generalized fifth-order KdV equation
• Classical point symmetries of a porous medium equation
• Direct Construction of Conservation Laws from Field Equations
• Direct construction method for conservation laws of partial differential equations Part II: General treatment

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