On Elliptic and Parabolic Nonlinear Model Systems of Equations in the Theory of Crystalline Semiconductors

Key Points

• The aim is to explore extensions of classical ambipolar diffusion equations relevant to crystalline semiconductors.
• Developed generalizations of the existing ambipolar diffusion equations
• Analyzed the stability and behavior of these equations under different conditions
• Introduced new equations that potentially enhance the understanding of charge transport
• Demonstrated the relevance of nonlinear effects in semiconductor models