Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma

Ioana Ciotir

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arXiv · 1103.2715

Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma

Ioana Ciotir

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Abstract

In this paper we are concerned with the stochastic partial differential equations of super-fast diffusion processes describing behavior of plasma dX(t)-Δln(X(t)+1)dt=\surd(Q)dW(t), in (0,T)\timesO, where O is a bounded open subset of R. We define a strong solution adequate to the properties of the natural logarithm and we prove the corresponding existence and uniqueness result.

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Ioana Ciotir. 2011-07-21. Existence and uniqueness of solution for the stochastic nonlinear diffusion equation of plasma. https://arxiv.org/abs/1103.2715

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