scholarly journals Vanishing viscosity with short wave–long wave interactions for multi-D scalar conservation laws

2011 ◽  
Vol 251 (3) ◽  
pp. 492-503 ◽  
Author(s):  
João Paulo Dias ◽  
Mário Figueira ◽  
Hermano Frid
Keyword(s):  
Conservation Laws ◽  
Short Wave ◽  
Scalar Conservation Laws ◽  
Wave Interactions ◽  
Vanishing Viscosity ◽  
Long Wave ◽  
Scalar Conservation

Linear stability of shock profiles for a quasilinear Benney system in ℝ2 × ℝ+

2020 ◽  
Vol 17 (04) ◽  
pp. 797-807
Author(s):  
João-Paulo Dias
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Short Wave ◽  
Wave Interactions ◽  
Hyperbolic Conservation ◽  
Linearized Stability ◽  
Shock Profiles ◽  
Scalar Conservation ◽  
Semilinear Schrödinger Equation ◽  
Shock Profile

Following Dias et al. [Vanishing viscosity with short wave-long wave interactions for multi-D scalar conservation laws, J. Differential Equations 251 (2007) 555–563], we study the linearized stability of a pair [Formula: see text], where [Formula: see text] is a shock profile for a family of quasilinear hyperbolic conservation laws in [Formula: see text] coupled with a semilinear Schrödinger equation.

scholarly journals Well-posedness for vanishing viscosity solutions of scalar conservation laws on a network

2017 ◽  
Vol 37 (11) ◽  
pp. 5913-5942 ◽  
Author(s):  
Boris P. Andreianov ◽  
◽  
Giuseppe Maria Coclite ◽  
Carlotta Donadello ◽  
◽  
...  
Keyword(s):  
Conservation Laws ◽  
Viscosity Solutions ◽  
Well Posedness ◽  
Scalar Conservation Laws ◽  
Vanishing Viscosity ◽  
Scalar Conservation

scholarly journals Numerical Solution of Scalar Conservation Laws with Random Flux Functions

2016 ◽  
Vol 4 (1) ◽  
pp. 552-591 ◽  
Author(s):  
Siddhartha Mishra ◽  
Nils Henrik Risebro ◽  
Christoph Schwab ◽  
Svetlana Tokareva
Keyword(s):  
Conservation Laws ◽  
Numerical Solution ◽  
Scalar Conservation Laws ◽  
Scalar Conservation
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