On the role of conservation laws and input data in the generation of peaking modes in quasilinear multidimensional parabolic equations with nonlinear source and in their approximations
DOI10.1134/S0012266116070120zbMath1351.35084OpenAlexW2516313727WikidataQ114979899 ScholiaQ114979899MaRDI QIDQ337866
D. A. Shchadinskii, Piotr P. Matus, Natalia G. Churbanova
Publication date: 3 November 2016
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0012266116070120
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical blow-up for a nonlinear heat equation
- On the blow-up of solutions to nonlinear initial-boundary value problems
- Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems
- An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- On the role of conservation laws in the problem on the occurrence of unstable solutions for quasilinear parabolic equations and their approximations
- Well-posedness and blow up for IBVP for semilinear parabolic equations and numerical methods
- Stability of finite-difference schemes for semilinear multidimensional parabolic equations
- Multidimensional scalar conservation laws
- On an Ordinary Differential Equation Involving a Convex Function
This page was built for publication: On the role of conservation laws and input data in the generation of peaking modes in quasilinear multidimensional parabolic equations with nonlinear source and in their approximations
