Properties of solutions to the initial-boundary value problem for a porous media-type equation

1992 ◽  
Vol 15 (5) ◽  
pp. 299-314 ◽  
Author(s):  
Jan Goncerzewicz
Keyword(s):  
Porous Media ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Type Equation ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Media Type ◽  
Initial Boundary Value

scholarly journals Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Changming Song ◽  
Jina Li ◽  
Ran Gao
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Type Equation ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Bond Number ◽  
Singularly Perturbed ◽  
Sixth Order ◽  
Initial Boundary Value

We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface of shallow water for bond number (surface tension parameter) less than but very close to 1/3. The nonexistence of global solution to the initial boundary value problem for the singularly perturbed Boussinesq-type equation is discussed and two examples are given.

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