Sentence examples for by systems of partial from inspiring English sources

Extraction problems governed by systems of partial differential equations appear in several branches of Engineering.

Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs)​.

When the problem to solve is described by systems of partial differential equations with fundamental solutions, this method can be successfully applied even if the boundary conditions are not linear, as in the case of the problem considered in this paper.

Mathematically radiation hydrodynamics (RHD) and magnetohydrodynamics (MHD) are described by systems of coupled nonlinear partial differential equations.

Many of the phenomena studied in the nature are described by boundary value problems, in fact, by partial differential equations or systems of partial differential equations with boundary restrictions, and only few of them can be, in general, solved analytically.

This formulation insures that the velocity and magnetic fields are divergence-free by construction, but leads to systems of partial differential equations of higher order, whose boundary conditions are coupled.

The spinning of slender viscous jets can be asymptotically described by one-dimensional models that consist of systems of partial and ordinary differential equations.

This paper examines a theory of optimal control of chemical reactors governed by a system of partial differential equations linked by a second non-linear member and where the control variable is only present in the boundary conditions.

The module is described mathematically by a system of partial differential equations.

This model class is defined by a system of partial differential equations (PDEs) for an arbitrary number of parallel compartments with individual transport velocities and numerous lateral exchange connections.

The coupled flexural and axial behaviour of the pile is governed by a system of partial differential equations, with the relevant boundary conditions, that is solved analytically in terms of exponential matrices.