Results 161 to 170 of about 9,237 (213)

Generalized Burgers Equations Transformable to the Burgers Equation

Studies in Applied Mathematics, 2011
Using the mappings which involve first‐order derivatives, the Burgers equation with linear damping and variable viscosity  is linearized to several parabolic equations including the heat equation, by applying a method which is a combination of Lie’s classical method and Kawamota’s method. The independent variables of the linearized equations are not t, 
Mayil Vaganan, B., Jeyalakshmi, T.
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Soliton solutions of Burgers equations and perturbed Burgers equation

Applied Mathematics and Computation, 2010
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Mohamad Jawad, Anwar Ja'afar, Petković, Marko D., Biswas, Anjan   +2 more
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Stochastic Burgers' equation

Nonlinear Differential Equations and Applications NoDEA, 1994
The authors prove that the stochastic Burger's equation forced by a cylindrical Wiener process with Dirichlet boundary conditions and the initial condition has a unique global solution. Also the existence of an invariant measure for the corresponding transition semigroup is established.
Da Prato, Giuseppe, Debussche, Arnaud, Temam, Roger   +2 more
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Rapidly Forced Burgers Equation

1993
A forced Burgers equation is considered. Using an analysis on the whole line, earlier results found by semiline methods are recovered. In the case where the time dependence of the forcing is rapidly varying an asymptotic expansion of the solution of Burgers equation is obtained.
M. J. ABLOWITZ, DE LILLO, Silvana
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HIGHER ORDER BURGERS EQUATION

Acta Mathematica Scientia, 1986
The Burgers equation is generalized to a (compound) higher order Burger equation which can be reduced to a higher order linear equation in terms of the Bäcklund transformation (BT) between them. Also BT of the higher order Burgers equation to itself is derived.
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Stochastically Forced Burgers Equation

1994
One of the first attempts to arrive at the statistical theory of turbulent fluid motion was the proposal by Burgers of his celebrated equation, which in one space dimension is $$ {\partial _t}{u_t}(x) = v\partial _x^2{u_t}(x) - {u_t}(x){\partial _x}{u_t}(x) $$ (1) where u t (x) is the velocity field and v is the viscosity.
Bertini L, CANCRINI, NICOLETTA, Jona Lasinio G.   +2 more
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Numerical solution of Burger's equation

Communications in Numerical Methods in Engineering, 1993
AbstractIn the present paper numerical solutions of the one‐dimensional Burger equation are obtained. The technique of finitely reproducing non‐linearities introduced by Bazley is used. This technique when applied to Burger's equation gives a method where a system of non‐linear ordinary differential equations is to be solved.
Mittal, R. C., Singhal, Poonam
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On a nonhomogeneous Burgers’ equation

Science in China Series A: Mathematics, 2001
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Ding, Xiaqi, Jiu, Quansen, He, Cheng
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