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New dynamical equation for cracks
Physical Review Letters, 1991Summary: If a long-standing selection problem in brittle fracture is to be resolved, one must begin with dynamical equations suited to comparison with experiment. Such an equation is derived here in closed form by finding the energy flux to the tip of a slowly accelerating crack in a brittle strip.
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Dynamics of non‐linear wave equations
Mathematical Methods in the Applied Sciences, 2004AbstractWe present several stability/instability results for the ground‐state standing waves and high‐energy‐bound‐state standing waves for the NLKG, NLS and NLDW equations. At the end of the paper we present a number of open problems. Copyright © 2004 John Wiley & Sons, Ltd.
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Ordinary Differential Equations: Dynamical Systems
2007Ordinary differential equations (ode) are differential equations for functions which depend on one independent variable only. These ‘odes’ are simpler than partial differential equations which contain more than one independent variable. In almost all models or simulations independent variables are either time and/or space.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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