Scaling Laws for the Multidimensional Burgers Equation with Quadratic External Potential
نویسندگان
چکیده
منابع مشابه
Scaling Laws for the Multidimensional Burgers Equation with Quadratic External Potential
The reordering of the multidimensional exponential quadratic operator in coordinatemomentum space (see X. Wang, C.H. Oh and L.C. Kwek (1998). J. Phys. A.: Math. Gen. 31:4329–4336) is applied to derive an explicit formulation of the solution to the multidimensional heat equation with quadratic external potential and random initial conditions. The solution to the multidimensional Burgers equation...
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We consider multidimensional stochastic Burgers equation on the torus T and the whole space R . In both cases we show that for positive viscosity ν > 0 there exists a unique strong global solution in L for p > d. In the case of torus we also establish a uniform in ν a priori estimate and consider a limit ν ↘ 0 for potential solutions. In the case of R uniform with respect to ν a priori estimate...
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2006
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-006-9136-5