Advances in Partial Differential Equations: Qualitative Analysis and Numerical Methods, 2nd Edition
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: 30 April 2026 | Viewed by 19
Special Issue Editors
Interests: deterministic and stochastic PDEs; fractional PDEs; lattice systems; dynamical systems; attractors; random attractors; invariant measures; large deviation principle, probability theory; stochastic analysis
Special Issues, Collections and Topics in MDPI journals
Interests: nonlinear PDEs; qualitative analysis of PDEs, blow-up of PDEs; wave equations; diffusion equations; high-order parabolic equations; Boussinesq-type equations
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The study of partial differential equations has consistently received significant attention due to their potential application in many fields. This Special Issue aims to explore and develop the study of deterministic and stochastic partial differential equations by using qualitative and numerical analysis arguments. This Special Issue welcomes the submission of original research articles and reviews whose scope includes, but is not limited to, the following topics:
- Well-posedness of deterministic and stochastic partial differential equations.
- Blow-up and long-time behavior of deterministic and stochastic partial differential equations.
- Numerical analysis and methods of deterministic and stochastic partial differential equations.
- Fractional calculus for deterministic and stochastic partial differential equations.
- Attractors, invariant measures, large deviations, traveling wave, stochastic control, invariant manifolds and chaos for deterministic and stochastic differential equations.
- Dynamical systems and measure theory for deterministic and stochastic differential equations.
- Other subjects on deterministic and stochastic partial differential equations.
We look forward to receiving your contributions.
Dr. Renhai Wang
Prof. Dr. Jun Zhou
Guest Editors
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- partial differential equations
- stochastic
- blow-up
- well-posedness
- dynamics
- numerical analysis
- long-time behavior
- probability
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