scholarly journals Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity

2012 ◽  
Author(s):  
Sergey I. Senashov
Keyword(s):  
Conservation Laws ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Hodograph Transformation

scholarly journals Nonlinear conservation laws for the Schrödinger boundary value problems of second order

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ming Ren ◽  
Shiwei Yun ◽  
Zhenping Li
Keyword(s):  
Cauchy Problem ◽  
Conservation Laws ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Maximum Modulus ◽  
Second Order ◽  
Nonlinear Conservation Laws ◽  
The Cauchy Problem ◽  
Modulus Method ◽  
Semilinear Schrödinger Equation

AbstractIn this paper, we apply a reliable combination of maximum modulus method with respect to the Schrödinger operator and Phragmén–Lindelöf method to investigate nonlinear conservation laws for the Schrödinger boundary value problems of second order. As an application, we prove the global existence to the solution for the Cauchy problem of the semilinear Schrödinger equation. The results reveal that this method is effective and simple.

scholarly journals Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws

2015 ◽  
Vol 12 (01) ◽  
pp. 61-86 ◽  
Author(s):  
Siddhartha Mishra ◽  
Laura V. Spinolo
Keyword(s):  
Conservation Laws ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problems ◽  
Numerical Schemes ◽  
Systems Of Conservation Laws ◽  
Initial Boundary Value ◽  
Limit Solutions ◽  
Viscous Mechanism

Solutions of initial-boundary value problems for systems of conservation laws depend on the underlying viscous mechanism, namely different viscosity operators lead to different limit solutions. Standard numerical schemes for approximating conservation laws do not take into account this fact and converge to solutions that are not necessarily physically relevant. We design numerical schemes that incorporate explicit information about the underlying viscosity mechanism and approximate the physical-viscosity solution. Numerical experiments illustrating the robust performance of these schemes are presented.

scholarly journals Solution of Boundary Value Problems of Plasticity with the Use of Conservation Laws

2018 ◽  
Vol 11 (3) ◽  
pp. 356-363
Author(s):  
Senashov Sergei I. ◽  
◽  
Savostyanova Irina L. ◽  
Cherepanova Olga N. ◽  
◽  
...  
Keyword(s):  
Conservation Laws ◽  
Boundary Value Problems ◽  
Boundary Value
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