On the weak solutions to a shallow water equation

2000 ◽  
Vol 53 (11) ◽  
pp. 1411-1433 ◽  
Author(s):  
Zhouping Xin ◽  
Ping Zhang
Keyword(s):  
Shallow Water ◽  
Weak Solutions ◽  
Shallow Water Equation

scholarly journals Several Dynamical Properties for a Nonlinear Shallow Water Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Ls Yong ◽  
Haibo Yan
Keyword(s):  
Shallow Water ◽  
Natural Number ◽  
Weak Solutions ◽  
Shallow Water Equation ◽  
Type Estimate ◽  
Third Order ◽  
Existence Of Weak Solutions ◽  
Dynamical Properties

A nonlinear third order dispersive shallow water equation including the Degasperis-Procesi model is investigated. The existence of weak solutions for the equation is proved in the spaceL1(R)∩BV (R)under certain assumptions. The Oleinik type estimate andL2N(R)  (Nis a natural number) estimate for the solution are obtained.

scholarly journals Data‐Driven Learning of Reduced‐Order Dynamics for a Parametrized Shallow Water Equation

PAMM ◽  
2021 ◽  
Vol 20 (S1) ◽  
Author(s):  
Süleyman Yıldız ◽  
Pawan Goyal ◽  
Peter Benner ◽  
Bülent Karasözen
Keyword(s):  
Shallow Water ◽  
Shallow Water Equation ◽  
Data Driven ◽  
Reduced Order

Stream Computation of Shallow Water Equation Solver for FPGA-based 1D Tsunami Simulation

2016 ◽  
Vol 43 (4) ◽  
pp. 82-87 ◽  
Author(s):  
Kentaro Sano ◽  
Fumiya Kono ◽  
Naohito Nakasato ◽  
Alexander Vazhenin ◽  
Stanislav Sedukhin
Keyword(s):  
Shallow Water ◽  
Shallow Water Equation ◽  
Tsunami Simulation
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