These notes describe some aspects of partial diierential equations from the view point of the variational calculus. We begin by showing how a vari-ational problem (the study of critical points of an action functional) can be associated to a diierential equation. Here the idea is to deene the action in such a way that the associated Euler-Lagrange equation is the diierential equation of interest...

Initially, the first aim of the present study is to model 3-axle rigid truck by developing a code in Matlab. Secondly, each equation should be drived by acquisition of Lagrange approach. After deriving equations successfully, validation is performed by some result which was mentioned in Bohao Li's master thesis. Although the present approach is totally different from the approach that Boahao Li...

Initially, the first aim of the present study is to model 3-axle rigid truck by developing a code in Matlab. Secondly, each equation should be drived by acquisition of Lagrange approach. After deriving equations successfully, validation is performed by some result which was mentioned in Bohao Li's master thesis. Although the present approach is totally different from the approach that Boahao Li...

Motivated by the supersymmetric extension of Liouville theory in the recent physics literature, we couple the standard Liouville functional with a spinor field term. The resulting functional is conformally invariant. We study geometric and analytic aspects of the resulting Euler-Lagrange equations, culminating in a blow up analysis.

In this research, Ride quality of a three-axle truck is investigated to understand its vibration specifications and influence of it on special load. The truck is Benz 2624, and the load is rather sensitive to vibrations. The system is considered for an off-road duty. Hence, the vehicle is modeled as a nineteen-degree of freedom system and its equations of motion are derived by employing Lagrang...