Sentence examples for boundary value problem posed from inspiring English sources

For the mixed initial and boundary value problem posed in a bounded domain of Rd with homogeneous Dirichlet condition, we prove weak and elliptic Harnack inequalities.

For the mixed initial and boundary value problem posed in a bounded domain of with homogeneous Dirichlet condition, we prove weak, intrinsic, and elliptic Harnack inequalities for intermediate times.

Consideration of the actual detailed boundary­ value problems posed by this viewpoint may serve to call attention to the limitation of idealizations which apply to the overall transport properties of a mixture of fluid and solid particles.

The original initial boundary value problem is posed in an unbounded region, extending horizontally up to infinity to model the sea.

To compute the connecting orbits, the boundary value problem which is posed on the real line is frequently replaced by one on a finite interval.

We introduce a condition on h which implies that the equation is subcritical, i.e., the corresponding boundary value problem is well posed with respect to data given by finite measures.

A well posed boundary value problem has thus been formulated for laminates containing however many cracked and uncracked laminae.

The system of equations comprising of equilibrium equations, stress resultant-displacement relations, along with boundary conditions constitutes the complete set of governing equations and also a completely defined and properly posed boundary value problem (BVP).

The steady-state solution of the resultant coupled non-linear equations are posed as a boundary value problem and solved using Warner's algorithm.

It turns out that the relative homology spaces, moduli in general, are interesting when posing an electromagnetic boundary value problem.

Within a 1-D theoretical framework, the boundary value problem of a radially expanding thin ring is posed.