Blowup SolutionSingle MaximumBlowup TimeEntire PlaneThe article investigates unbounded solutions of the equation u t = div ( u 蟽 grad u ) + u 尾 in a plane. We numerically analyze the stability of two-dimensional self-similar solutions (structures) that increase with blowup. We confirm ...
The correct option is (d). It is under linear programming in which if the primal has an unbounded solution or it is unbounded then dual unbounded... See full answer below.
One word of caution, this will always identify some of the unboundedness causes, but in the face of a non-unique primal solution caused by degeneracy or alternative optimals may not reveal them all. Thus, multiple applications of the procedure may be needed. Details on Large Bound Approach ...
Thus, the convergence analysis requires an a priori estimation of the solution uh. On the other hand, condition (1.5) weakens the global assumption lim,,_,+0 IIT — T,,]| = 0 made in [9]. This is an essential fact for the application of the concept to boundary value problems on ...
public class UnboundedSolutionException extends MathIllegalStateException { /** Serializable version identifier. */ private static final long serialVersionUID = 940539497277290619L; /** * Simple constructor using a default message. */ public UnboundedSolutionException() { ...
Finally, by a simple computation, we get (4.5)m=p∗(a+bk∗+ch∗)Γ(α)=4(3+π)15π<0.924006<1. Hence, all the conditions of Theorem 3.1 are satisfied. Therefore, the conclusion of Theorem 3.1 applies and problem (4.1) has a unique solution, which can be obtained by constructi...
Just want to add my solution that worked in my case where I have vertical list view together with other buttons and texts on the same screen: Flexible( child: ListView.builder( // make sure to add the following lines: shrinkWrap: true, physics: ScrollPhysics(), // the rest of your list...
A simple and effective method that introduces the damping proportional to the stiffness matrix in the finite element method is given to cure such coupling instability completely. The stabilized damping is so small that it does not affect the solution accuracy nearly. The numerical examples show the...
The method of solution is a regular perturbation scheme with the small parameter being the dimensionless coefficient which appears in the expressions for the shear viscosity. Asymptotic solutions for the pressure and the velocity field are found only for the simple shear case, while no analytical ...
In [21] it was shown that in fact any energy solution to problem (1.1) belongs to L2([0,T];H32(Ω)) under assumption f′(s)≥−C, and for arbitrary q>0 (restriction q≤4 is needed for the uniqueness but not for the extra regularity), if one considers periodic boundary ...