Next, we study the vector Burgers equation and solve the initial value problem for it when the initial data are gradient of a scalar function. We investigate the asymptotic behavior of this solution as time tends to infinity and generalize a result of Hopf to the vector case. Then we ...
A wide variety of phenomena can be explained by 3D-nonlinear wave (3D-NLW) equations, ranging from plasma physics to fluid mechanics. The study of the 3D-modified nonlinear wave equation in liquids containing gas bubbles is significant due to its potential to enhance our understanding of complex...
ini.LoadFile(daemonConfigFile.c_str());std::vector<std::string> stream_urls; CSimpleIniA::TNamesDepend values; ini.GetAllValues("daemon","stream", values);// sort the values into the original load ordervalues.sort(CSimpleIniA::Entry::LoadOrder());// output all of the itemsCSimpleIni...
The rotational motion of fractional Maxwell fluids in an infinite circular cylinder that applies a time-dependent but not oscillating couple stress to the fluid is investigated using the integral transform technique. Such a flow model was not analyzed in
special issue published in honour of Francesco Calogero on the occasion of his 70th birthday Abstract It is well-known that the basic difficulty in studying the initial boundary value prob- lems for linear and nonlinear PDEs is the presence, in any method of solution, of unknown boundary values...
9.Solving Eigenvalue and Eigenvector of a Kind of Block Matrix;一类分块矩阵的特征值及特征向量的求解 10.Researches of Methods of Numerical Solution Based on Proper Orthogonal Decomposition Technology for Burgers Equations;Burgers方程基于特征正交分解方法的数值解法研究 11.Uses graphic analytic method to ...
Here, if a is a vector, then D(a) denotes the diagonalization of a. The matrices I˜(xr) = ( (r ) ki )(mx +2)×mx are (mx + 2) × mx, and I˜(yr ) =( (r lj ) )(my +2)×my are (my + 2) × my, (r = 0, 1, 2) (details see [10]). And the ...
In this article we study Burgers equation and vector Burgers equation with initial and boundary conditions. First we consider the Burgers equation in the quarter plane x >0, t >0 with Riemann type of initial and boundary conditions and use the Hopf鈥揅ole transformation to linearize the ...
Next, we study the vector Burgers equation and solve the initial value problem for it when the initial data are gradient of a scalar function. We investigate the asymptotic behavior of this solution as time tends to infinity and generalize a result of Hopf to the vector case. Then we ...
Next, we study the vector Burgers equation and solve the initial value problem for it when the initial data are gredient of a scalar function. We investigate the asymptonic behaviour of this solution as time tends to infinity and generalize a rsult of HOPf to the vector case. Then we ...