scholarly journals Global smooth solutions of MHD equations with large data

2016 ◽  
Vol 261 (1) ◽  
pp. 102-112 ◽  
Author(s):  
Yurui Lin ◽  
Huali Zhang ◽  
Yi Zhou
Keyword(s):  
Large Data ◽  
Mhd Equations ◽  
Smooth Solutions ◽  
Global Smooth Solutions

scholarly journals Global Smooth Solutions With Large Data for a System Modeling Aurora Type Phenomena in the 2-Torus

2021 ◽  
Vol 53 (1) ◽  
pp. 1122-1167
Author(s):  
Hermano Frid ◽  
Daniel Marroquin ◽  
Joa͂o F.C. Nariyoshi
Keyword(s):  
System Modeling ◽  
Large Data ◽  
Smooth Solutions ◽  
Global Smooth Solutions

Singularities of solutions for first order quasilinear hyperbolic systems

1983 ◽  
Vol 94 (1-2) ◽  
pp. 137-147 ◽  
Author(s):  
Lee Da-tsin(Li Ta-tsien) ◽  
Shi Jia-hong
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Hyperbolic Systems ◽  
Smooth Solutions ◽  
Small Initial Data ◽  
Quasilinear Hyperbolic Systems ◽  
First Order ◽  
Global Smooth Solutions ◽  
The Cauchy Problem

SynopsisIn this paper, the existence of global smooth solutions and the formation of singularities of solutions for strictly hyperbolic systems with general eigenvalues are discussed for the Cauchy problem with essentially periodic small initial data or nonperiodic initial data. A result of Klainerman and Majda is thus extended to the general case.

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