Limits to extensions of Burgers’ equation

Decay Mode Solutions to (2 + 1)-Dimensional Burgers Equation, Cylindrical Burgers Equation and Spherical Burgers Equation

Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended G G ′       -expansion method, substituting the solutions obtained into the cor...

Scaling Limits for the Solution of Wick type Burgers Equation

Scaling limits for the solution of Burgers equation are investigated. It is shown that the limiting distribution for the solution of Wick type Burgers equation with Gaussian initial data is the same as that for the solution of Burgers equation with ordinary product calculated in [LPW96].

Some asymptotic limits for solutions of Burgers equation

§1 – Introduction. In this paper, we compute the limits (1) γ p = lim t → ∞ t 1 2 (1 − 1 p) u(·, t) p , 1 ≤ p ≤ ∞ for solutions u(·, t) of the equation (2) u t + a u x + b u u x = c u xx satisfying the Cauchy condition (3) u(x, 0) = u 0 (x), u 0 ∈ L 1 (R), that is, u(·, t) − u 0 1 → 0 as t → 0, t > 0. Here, u(·, t) p denotes the L p norm of u(·, t) as a function of x for fixed t, i.e., (4) u(·,...

Convergence of iterative methods applied to Burgers-Huxley equation

extensions of some polynomial inequalities to the polar derivative

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