Can we construct an accurate atmospheric climate model with a balanced model representing its fluid mechanics, and with dissipative as well as non-dissipative parameterization schemes for the gravity-wave activity? To address this question, we focus our attention on a 1 1 2 -layer atmospheric model with an isentropic troposphere and isothermal stratosphere. We investigate parcel dynamics in a h...

in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...

This work examines the extent to which a few basic concepts that apply to plane waves, for example, the refraction of waves up the gradient of the index of refraction, apply to stratospheric planetary waves. This is done by studying the relation between group velocity (Cg) and the wave activity velocity, which is defined as the Eliassen–Palm flux divided by the wave activity density (Va 5 F/A)....

A closed-form limit on the input level of the double impulse as a substitute of a near-fault ground motion is derived for the overturning of a rigid block. The rocking vibration of the rigid block is formulated by using the conservation law of angular momentum and the conservation law of mechanical energy. The initial rotational velocity after the first impulse and the rotational velocity after...

Equations related with wave propagation are reexamined as in certain circumstances law of conservation of energy is not fulfilled even though it is cautiously clarified with the help of Heisenberg’s uncertainty principle. Recently, attempt has also been made to understand certain discrepancies in optical phenomena like diffraction or interference. The purpose of the present investigation, there...

Systems of conservation laws are partial differential equations that model the dynamics of continua — fluids, plasmas or elastic solids — by means of the fundamental principles of conservation of mass, momentum, and energy, supplemented by constitutive relations, typically based in thermodynamics or other classical physics. The standard form of a conservation law system, in one space dimension,...