Inclusion of Solutions of Cauchy Problems for Quasilinear Hyperbolic Equations

1999 ◽  
pp. 569-578
Author(s):  
Martin Koeber
Keyword(s):  
Hyperbolic Equations ◽  
Cauchy Problems ◽  
Quasilinear Hyperbolic Equations

A centre manifold theorem for hyperbolic PDEs

1992 ◽  
Vol 122 (3-4) ◽  
pp. 363-377 ◽  
Author(s):  
Michael Renardy
Keyword(s):  
Viscoelastic Fluid ◽  
Hyperbolic Equations ◽  
Centre Manifold ◽  
Hyperbolic Pdes ◽  
Quasilinear Hyperbolic Equations ◽  
Bénard Problem ◽  
Benard Problem ◽  
Centre Manifold Theorem

SynopsisA version of the centre manifold theorem is established which is suitable for quasilinear hyperbolic equations. As an application, the Benard problem for a viscoelastic fluid is discussed.

Blow–up of solutions for first order quasilinear hyperbolic equations

1993 ◽  
Vol 51 (1-4) ◽  
pp. 81-114 ◽  
Author(s):  
Roberto Natalini ◽  
Alberto Tesi
Keyword(s):  
Blow Up ◽  
Hyperbolic Equations ◽  
Quasilinear Hyperbolic Equations ◽  
First Order
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