التفاصيل البيبلوغرافية
| العنوان: |
A dissipative model for hydrogen storage: Existence and regularity results |
| المؤلفون: |
Elisabetta Chiodaroli |
| سنة النشر: |
2011 |
| مصطلحات موضوعية: |
State variable, Partial differential equation, regularity, Continuum mechanics, General Mathematics, dissipative phase transition, General Engineering, existence, hydrogen storage, Nonlinear system, Compact space, Mathematics - Analysis of PDEs, Engineering (all), 35Q99 74F10 74A99 74N99, nonlinear PDE system, Mathematics (all), Dissipative system, FOS: Mathematics, Initial value problem, Applied mathematics, Boundary value problem, Mathematics, Analysis of PDEs (math.AP) |
| الوصف: |
We prove global existence of a solution to an initial and boundary-value problem for a highly nonlinear PDE system. The problem arises from a thermo-mechanical dissipative model describing hydrogen storage by use of metal hydrides. In order to treat the model from an analytical point of view, we formulate it as a phase transition phenomenon thanks to the introduction of a suitable phase variable. Continuum mechanics laws lead to an evolutionary problem involving three state variables: the temperature, the phase parameter and the pressure. The problem thus consists of three coupled partial differential equations combined with initial and boundary conditions. The existence and regularity of the solutions are here investigated by means of a time discretization—textita priori estimates—passage to the limit procedure joined with compactness and monotonicity arguments. Copyright © 2010 John Wiley & Sons, Ltd. |
| اللغة: |
English |
| URL الوصول: |
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22ba97068828d5924edacb6c787ef92b
http://hdl.handle.net/11568/872804 |
| Rights: |
OPEN |
| رقم الانضمام: |
edsair.doi.dedup.....22ba97068828d5924edacb6c787ef92b |
| قاعدة البيانات: |
OpenAIRE |