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The influence is observed with respect to both time and spatial distributions of the detector rates.
Consequently, realizations of ground motion time histories taking into account both time and spatial variability need to be generated.
Modeling engineering problems of interest often requires some type of discretization model of the physical system and quite naturally leads to a mathematical description involving partial differential equations whose coefficients are dependent on both time and spatial location.
Using measurements of both time and spatial derivatives of the drillstring rotational angle at the surface, the torsional wave in the drillstring is decomposed into two independent wave components traveling in opposite directions based on the d'Alambert solution.
An algorithm that integrates Karhunen-Loeve expansion (KLE) and the finite element method (FEM) is proposed to perform non-stationary random vibration analysis of structures under excitations, represented by multiple random processes that are correlated in both time and spatial domains.
Both time and spatial considerations were conducted.
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These impacts are significant both in time and spatial distribution when the height of the plume reaches the stratosphere.
The feasibility of the simulation method is validated by experiments both in time and spatial domains.
The new generation of dedicated Engineering Strain Scanners at neutron and synchrotron facilities offer considerable improvements in both counting time and spatial resolution.
In infinite cylinder, the first initial boundary value problem for this kind of equation with coefficients depend on both of time and spatial variables has been considered (see [1, 2]).
Our main result, the regularity with respect to both of time and spatial variables of the weak solution of the problem, is stated in Section 3. The proof of this result is given in Section 4 with some auxiliary lemmas.
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both feature and spatial
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