Their wave equation also contains higher-order nonlinear terms, because while in linear theory
surface gravity waves do not feel each other or exchange energy, Kadri explains, "in reality the picture is more complicated, and nonlinear effects may come into play, resulting in energy exchange and even generation of new waves, sometimes.
They experimentally proved that when a proper strain tensor is chosen, such generalizations of the structures of the linear theory
to the nonlinear regime might provide an efficient method to model the mechanical behaviors of such materials at moderate deformations.
The run-up in deep water in linear theory
can be expressed by
The 57 papers consider such topics as the static analysis of the load-bearing structure of a transparent roof, the integral representation of constitutive equations in the linear theory
of viscoelasticity, the numerical and experimental assessment of a highway arch viaduct, and the optimal design of structures made of fiber-reinforced concrete.
Koston and Saurin share findings and insights from their decade of research at the Institute for Problems in Mechanics at the Russian Academy of Sciences, into the linear theory
of elasticity and finite element analysis.
Taking into the account results of linear theory
of interaction between annular electron beams and AMs [7, 17] azimuthal wave number and radius of the waveguide have been chosen in such way that the following equation was satisfied: [absolute value of m][delta]) [approximately equal to] 0.
The nonlinear-system theory is a field of general system theory which is examined much fewer than classical linear theory
Micciche offers a recursive rather than linear theory
and practice of emotions through her consistent emphasis on praxis, which is illuminated through her attentiveness to the material conditions through which writing is produced, enacted, and administered.
Simplifications are the consequence of using the geometrically linear theory
and the Kirchhoff--Love hypotheses.
The transfer function plays an important role in the linear theory
The main difference between the current nonlinear source-filter interaction theory and the older linear theory
is that formants need to be avoided, not sought out, in the choice of a vowel.
This work provides a self-contained and up-to-date account of mathematical results in the linear theory
of water waves.