Analysis & PDE
Scope & Guideline
Advancing the Frontiers of Analysis and PDE.
Introduction
Aims and Scopes
- Analysis of Nonlinear PDEs:
The journal emphasizes the study of nonlinear partial differential equations, exploring their unique characteristics, solutions, and behaviors under various conditions. - Geometric Analysis:
There is a significant focus on geometric analysis, which includes the study of differential geometry and its relationship with PDEs, particularly in the context of manifolds and curvature. - Functional Analysis and Operator Theory:
Research on functional analysis and operator theory is a core area, examining the properties of linear operators and their implications for PDEs. - Existence and Uniqueness Theorems:
The journal publishes studies that establish existence and uniqueness of solutions to various classes of PDEs, including boundary value problems. - Variational Methods:
Variational methods play a crucial role in the journal, with articles often discussing minimization problems and critical point theory. - Numerical Analysis and Computational Methods:
The journal also includes research on numerical and computational methods for solving PDEs, providing practical approaches to theoretical findings.
Trending and Emerging
- Nonlinear Dynamics and Chaos:
Recent publications have increasingly focused on nonlinear dynamics and chaos theory, exploring complex behaviors and solutions in various PDE contexts, which are crucial for understanding real-world systems. - Applications of PDEs in Physics and Engineering:
The journal is seeing a rise in articles that apply PDEs to physical and engineering problems, particularly in fluid dynamics, materials science, and quantum mechanics, highlighting the interdisciplinary nature of current research. - Stochastic PDEs:
There is a growing interest in stochastic partial differential equations, reflecting the need to model systems influenced by randomness and uncertainty, which has significant implications in finance, biology, and climate science. - Geometric Flows and Mean Curvature:
Research on geometric flows, particularly mean curvature flow, is emerging as a significant theme, linking geometric analysis with PDE techniques and offering insights into shape evolution problems. - Machine Learning Applications:
The integration of machine learning techniques with PDE analysis is becoming a trend, as researchers leverage computational tools to enhance the solution processes and explore new methodologies.
Declining or Waning
- Classical Solutions of PDEs:
There has been a noticeable decline in papers focusing solely on classical solutions to PDEs, as research increasingly gravitates towards weak, generalized, or numerical solutions that accommodate more complex scenarios. - Linear PDEs:
The focus on linear partial differential equations appears to be waning, with a shift towards more complex nonlinear equations that present greater challenges and richer mathematical structures. - Basic Regularity Results:
Basic results concerning regularity have become less frequent, possibly due to the establishment of foundational theories, leading researchers to pursue more advanced results or specific applications. - Low-Dimensional PDEs:
There is a decline in research centered on low-dimensional PDE systems, as more attention is directed towards high-dimensional and complex systems that reflect real-world phenomena. - Static Solutions:
The exploration of static solutions to PDEs is diminishing in favor of dynamic and time-evolving solutions, reflecting an interest in more realistic models of physical systems.
Similar Journals
ANNALI DI MATEMATICA PURA ED APPLICATA
Fostering Excellence in Mathematical ResearchANNALI DI MATEMATICA PURA ED APPLICATA is a prestigious journal published by Springer Heidelberg, focusing on the field of Applied Mathematics. With a rich history dating back to its initial publication stages from 1858, this journal continues to serve as a vital platform for researchers and professionals seeking to disseminate high-quality, peer-reviewed research. The journal's strong reputation is reflected in its Q1 ranking in Applied Mathematics and its Scopus rank of #335 out of 635, placing it in the 47th percentile, showcasing its impact in the field. Although it is not an open-access journal, it provides exclusive insights and advancements in mathematical applications, allowing academics to explore innovative methodologies and theoretical developments. The combination of its long-standing tradition and contemporary relevance makes ANNALI DI MATEMATICA PURA ED APPLICATA an essential resource for scholars and students looking to deepen their understanding of mathematics and its practical applications.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Pioneering Research in Differential EquationsCALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, published by SPRINGER HEIDELBERG, is an esteemed academic journal dedicated to the field of mathematics, specifically in the areas of variational calculus and partial differential equations. Established in 1993, this journal has rapidly ascended to prominence, currently ranked in the Q1 quartile for both Analysis and Applied Mathematics, reflecting its significant contribution to advancing theoretical and applied research. With a Scopus percentile position in the top 79th for Mathematics - Analysis and the 67th for Applied Mathematics, it serves as an essential resource for researchers, professionals, and students seeking to deepen their understanding of these complex mathematical domains. Although it does not offer open access, the journal's robust peer-review process ensures high-quality and impactful publications that inspire ongoing research and innovation, making it an invaluable asset for the global academic community.
Journal of Elliptic and Parabolic Equations
Elevating the Study of PDEs to New HeightsWelcome to the Journal of Elliptic and Parabolic Equations, a prominent publication dedicated to advancing the field of mathematical analysis, particularly focusing on elliptic and parabolic PDEs. Published by Springer Heidelberg, this journal stands out with its commitment to quality research, as evidenced by its classification in the Q2 quartile for Analysis, Applied Mathematics, and Numerical Analysis fields in 2023. Spanning from 2015 to 2024, the journal not only showcases cutting-edge findings but also provides a platform for discussions on innovative methodologies and applications relevant to both theoretical and practical aspects of mathematics. Researchers, professionals, and students are encouraged to explore this journal for insightful articles that push the boundaries of knowledge in mathematical equations and their applications, enriching the academic community and fostering further exploration in the discipline.
Tamkang Journal of Mathematics
Bridging Theory and Application in the World of MathematicsTamkang Journal of Mathematics, published by TAMKANG UNIVERSITY, serves as a vital platform for researchers and professionals in the fields of applied mathematics, general mathematics, and materials science. With an ISSN of 0049-2930 and an E-ISSN of 2073-9826, this journal has established itself within the academic community, particularly noted for its contributions from Taiwan. Although categorized as Q4 in Applied Mathematics and Q3 in multiple related fields according to the 2023 ranking, it maintains a solid reputation for disseminating significant research findings and innovative methodologies. Researchers can explore an array of topics within its pages, making it an excellent resource for enhancing mathematical knowledge and applications. As it converges from 2005 to 2024, the journal invites academics, professionals, and students to engage with its content and contribute to the ongoing dialogue in mathematics and its interdisciplinary applications.
Rendiconti del Circolo Matematico di Palermo
Navigating the Evolution of Mathematical Ideas.Rendiconti del Circolo Matematico di Palermo, published by SPRINGER-VERLAG ITALIA SRL, is a revered journal in the field of mathematics, emphasizing the cultivation and dissemination of mathematical knowledge since its inception in 1887. With its ISSN 0009-725X and E-ISSN 1973-4409, this esteemed publication has continued to thrive, showcasing innovative research, comprehensive reviews, and thoughtful discussions from diverse areas in mathematics, particularly in its Q2 ranking within the miscellaneous mathematics category. Its historical significance is underscored by its convergence of publications across numerous years, including its notable periods from 1887 to 1916, 1919 to 1938, and beyond, effectively capturing the evolution of mathematical thought. Though not open access, the journal remains an essential resource for researchers, professionals, and students aiming to stay updated with the latest advancements and methodologies in the ever-evolving landscape of mathematics. With its Scopus rank placing it in the top 25th percentile, Rendiconti del Circolo Matematico di Palermo continues to be a cornerstone for scholarly dialogue and development in its domain.
Bulletin of the Karaganda University-Mathematics
Exploring the Frontiers of Mathematical InnovationBulletin of the Karaganda University-Mathematics is a distinguished journal dedicated to the exploration and dissemination of research in the field of mathematics. Published by KARAGANDA STATE UNIVERSITY in Kazakhstan, this Open Access journal has been promoting the accessibility of scientific knowledge since 2010. With an ISSN of 2518-7929, the journal aims to provide a platform for innovative ideas and developments across various mathematical disciplines. Recognized for its quality, it has achieved a Q3 ranking in the Mathematics (miscellaneous) category for 2023 and is currently positioned at the 46th percentile within Scopus rankings, demonstrating its relevance and contribution to the academic community. The bulletin encourages submissions that enrich theoretical and applied mathematics and is an essential resource for researchers, professionals, and students looking to enhance their understanding and application of mathematical concepts. Addressed from 38 GOGOL STR, KARAGANDA 100012, KAZAKHSTAN, the journal not only represents the academic excellence of its home institution but also aims to foster international collaboration and knowledge exchange.
Georgian Mathematical Journal
Advancing mathematical frontiers with rigorous research.Georgian Mathematical Journal, published by Walter de Gruyter GmbH, is a prestigious academic journal dedicated to the field of mathematics, particularly in its multifaceted applications and theoretical explorations. With an ISSN of 1072-947X and an E-ISSN of 1572-9176, this journal is indexed within notable databases and holds a strong position as evidenced by its Q2 ranking in the Mathematics (miscellaneous) category as of 2023 and a ranking of #140 out of 399 in the general mathematics Scopus category, placing it in the 65th percentile for research visibility. Since its inception in 1994, the journal has continued to evolve, aiming to foster innovative research and scholarly communication among mathematicians worldwide. Although it does not offer Open Access, the journal’s commitment to quality and rigor ensures that published works are of high relevance, appealing to researchers, educators, and students who are dedicated to advancing mathematical knowledge across diverse domains.
St Petersburg Mathematical Journal
Fostering Collaboration in the World of MathematicsSt Petersburg Mathematical Journal, published by the American Mathematical Society, is a distinguished platform that fosters research and discourse in the fields of mathematics, specifically focusing on Algebra and Number Theory, Analysis, and Applied Mathematics. With an ISSN of 1061-0022 and an E-ISSN of 1547-7371, this journal has been a reliable source of cutting-edge mathematical research since its inception in 2003 and continues to publish high-quality content through 2024. Although not open-access, it offers valuable insights and advances the mathematical community's understanding, as indicated by its respectable impact factor and Scopus rankings across various categories—landing in the Q3 quartile across three significant mathematical disciplines. Researchers, professionals, and students are encouraged to contribute and engage with this journal, as it remains a vital resource for promoting collaboration and discovery within the ever-evolving field of mathematics.
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Advancing Knowledge in Mathematics and Theoretical Computer ScienceANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE is a prestigious academic journal published by the SCUOLA NORMALE SUPERIORE in Pisa, Italy, specializing in the fields of mathematics and theoretical computer science. With an impressive Q1 ranking in both categories for 2023, it stands out in the academic community, recognized for its rigorous peer-reviewed research and impactful findings. Although it does not currently offer open access, the journal is widely regarded for its academic contributions and has converged from 1996 to 2024, enhancing its rich legacy in scientific discourse. Researchers, professionals, and students alike will find the journal an essential resource, given its high Scopus rankings, placing it in the upper echelons of its field. For those looking to advance their understanding and explore cutting-edge findings in mathematics and computer science, ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA is an indispensable platform for scholarly exchange.
Results in Mathematics
Innovating the Future of Mathematics Through Rigorous Scholarship.Results in Mathematics, published by SPRINGER BASEL AG, is a prestigious academic journal dedicated to advancing the field of mathematics since its inception in 1978. Based in Switzerland, this journal has garnered a significant reputation, holding a Q2 ranking in both Applied Mathematics and miscellaneous Mathematics categories according to the latest 2023 metrics. The journal is a vital resource for researchers, professionals, and students, encouraging open dialogue about emerging mathematical concepts and methodologies. Our editorial objective is to publish high-quality research articles that contribute to theoretical advancements and practical applications in mathematics. Although it does not currently offer open access options, it provides in-depth studies and articles that fortify the knowledge base within the mathematical community. With a commitment to innovation and academic rigor, Results in Mathematics continues to serve as an essential platform for scholarly communication and exploration.