Symmetry Methods and Inverse Problems for Partial Differential Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".
Deadline for manuscript submissions: closed (30 April 2022) | Viewed by 481
Special Issue Editors
Interests: Lie symmetries; partial differential equations; Nonlocal symmetries
Special Issues, Collections and Topics in MDPI journals
2. Mathematical Center in Akademgorodok, Novosibirsk State University, 2 Pirogova Str., 630090 Novosibirsk, Russia
Interests: differential and integral equations; ill-posed and inverse problems of mathematical physics; tomography applied mathematics; numerical analysis
Special Issue Information
Dear Colleagues,
Many real-world problems can be modelled by interesting mathematical nonlinear differential equations which arise naturally in physics and other areas of science. Mathematical modelling is one of the most relevant and powerful tools one can use to analyse, explain, predict, or replicate the essential behaviour of physical and biological processes. Here, mathematical software plays a key role. Mathematical models are usually governed by boundary and initial value problems for partial differential equations (PDEs). Nevertheless, the analysis of these equations is often not straightforward. There exist a wide range of techniques to deal with the study of nonlinear equations, from which we highlight symmetry methods and inverse problems for PDEs.
This Special Issue will focus on problems arising in physics and life sciences described by PDEs, including a global vision of techniques and tools to construct solutions; determine unknown coefficients; investigate the existence, uniqueness, and stability of solutions; or analyse the behaviour of the underlying processes. Topics of interest include but are not limited to the following:
- Symmetry methods;
- Inverse problems;
- Control theory;
- Numerical approximations;
- Constructing new solutions and their applications;
- Bifurcation theory;
- Mathematical modelling and numerical methods.
Prof. Dr. Rafael de la Rosa
Prof. Dr. Vladimir G. Romanov
Guest Editors
Manuscript Submission Information
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