Yayın: Variational principles and conservation laws to the Burridge-Knopoff equation
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Yaşar, Emrullah
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Springer
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Özet
We generate conservation laws for the Burridge-Knopoff equation which model nonlinear dynamics of earthquake faults by a new conservation theorem proposed recently by Ibragimov. One can employ this new general theorem for every differential equation (or systems) and derive new local and nonlocal conservation laws. Nonlocal conservation laws comprise nonlocal variables defined by the adjoint equations to the Burridge-Knopoff equation.
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Konusu
Adjoint equation, Burridge-knopoff equation, Conservation laws, Lagrangian, Nonlocal variables, Symmetries, Dynamics, Mathematical models, Variational techniques, Adjoint equation, Burridge-Knopoff equation, Conservation laws, Lagrangian, Nonlocal variables, Symmetries, Nonlinear equations, Engineering, Mechanics
Alıntı
Yaşar, E. (2008). "Variational principles and conservation laws to the Burridge-Knopoff equation". Nonlinear Dynamics, 54(4), 307-312.