An asymptotic expansion in powers of small dimensionless dispersion coefficient is sought to solve an initial value problem posed for an advection diffusion equation modeling orientation of pulp ...

We study the initial boundary value problem of semilinear hyperbolic equations utt – Δu = f(u) and semilinear parabolic equations ut – Δu = f(u) with critical initial data E(0) = d (or J(u₀) = d), ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...