A global existence theorem for the nonlinear BGK equation

1989 ◽  
Vol 55 (5-6) ◽  
pp. 1313-1321 ◽  
Author(s):  
William Greenberg ◽  
Jacek Polewczak
Keyword(s):  
Global Existence ◽  
Existence Theorem ◽  
Bgk Equation ◽  
Global Existence Theorem

scholarly journals GLOBAL REGULAR SOLUTION FOR THE EINSTEIN-MAXWELL-BOLTZMANN-SCALAR FIELD SYSTEM IN A BIANCHI TYPE-I SPACE-TIME

2017 ◽  
Vol 13 (1) ◽  
pp. 7087-7118 ◽  
Author(s):  
Noutchegueme Norbert
Keyword(s):  
Scalar Field ◽  
Global Existence ◽  
Cosmological Constant ◽  
Existence Theorem ◽  
Regular Solution ◽  
Existence And Uniqueness ◽  
Bianchi Type ◽  
Type I ◽  
Field System ◽  
Global Existence Theorem

We prove an existence and uniqueness of regular solution to the Einstein-Maxwell-Boltzmann-Scalar Field system with pseudo-tensor of pressure and the cosmological constant globaly in time. We clarify the choice of the function spaces and we establish step by step all the essential energy estimations leading to the global existence theorem.

HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL

2008 ◽  
Vol 18 (02) ◽  
pp. 215-269 ◽  
Author(s):  
M. GUIDORZI ◽  
M. PADULA ◽  
P. I. PLOTNIKOV
Keyword(s):  
Global Existence ◽  
Existence Theorem ◽  
Initial Value Problem ◽  
Interaction Model ◽  
Elastic Interaction ◽  
Initial Condition ◽  
Two Dimensional ◽  
Initial Value ◽  
Global Existence Theorem ◽  
Model Equations

In this paper, we give a global existence theorem of weak solutions to model equations governing interaction fluid structure in a two-dimensional layer, cf. Refs. 8 and 14. To our knowledge this is the first existence theorem of global in time solutions for such model. The interest of our result is double because, first, we change the original initial value problem by deleting one initial condition, second, we construct a solution through the classical Galerkin method for which several computing codes have been constructed.

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