Sentence examples for singular parabolic from inspiring English sources

First, we consider the quenching problem for singular parabolic equations.

For singular parabolic problems in conical domains, refer to [18 20] and the references therein.

We deal with the self-similar singular solution of doubly singular parabolic equation with a gradient absorption term for, and in.

We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions.

In Example 9, we have solved singular parabolic partial differential equation in polar coordinates and obtained maximum absolute errors for cylindrical and spherical case.

But for the quasilinear parabolic equation, especially for the degenerate or singular parabolic equations, with delay(s) in nonlinear source terms, as far as we know, there are very few results.

Various dynamic properties of solutions for nonlinear pseudo-parabolic equations, including singular pseudo-parabolic equations and degenerate pseudo-parabolic equations can be found in [11] [18].

We also study commutators of parabolic singular integrals and deduce pointwise a.e.

Few works were concerned with singular or degenerate parabolic equations [13 19], where only models with one nonlinear source are studied.

The Cauchy Dirichlet and the Cauchy problem for the degenerate and singular quasilinear anisotropic parabolic equations are considered.

Let 1 < p < ∞ and n ≥ 2. The authors establish the L p (ℝn+1) boundedness for a class of parabolic singular integral operators with rough kernels.