The Energy Diffusive Relaxtion Limit Of Non-isentropic Euler-Maxwell Equations For Plasmas

This paper mainly concerns the non-isentropic Euler-Maxwell equations forplasmas with small parameter singular limit of periodic region. With the help of theMaxwell-iteration and Energy method, we mathematically strict established that thenon-isentropic Euler-Maxwell equations has unique smooth solution and converges tosmooth solution corresponding energy transport models when the energy relaxationtime tends to zero.The Euler-Maxwell system and the energy transport models have wide andimportant application in semiconductor materials and plasma physics and other fields,so it is a important theory significance to research this two models.The first chapter introduces the research background of Euler-Maxwell equation,Some existing results for this class of models are recalled. Finally, our main results inthis paper are stated.The second chapter lists some basic inequalities and mathematical symbols andrewrites some basic theorems in references and related definitions.The third chapter, we mathematically strict established that the smooth solutionof non-isentropic Euler-Maxwell equations and converges to smooth solutioncorresponding energy transport models when the energy relaxation time tends to zero.Finally, a brief summary and prospect of this class of models is given and asimplified energy transport model involved in the high dimension space problem.