Advances in Calculus of Variations

Scope & Guideline

Catalyzing Progress in Applied Mathematics

Introduction

Immerse yourself in the scholarly insights of Advances in Calculus of Variations with our comprehensive guidelines detailing its aims and scope. This page is your resource for understanding the journal's thematic priorities. Stay abreast of trending topics currently drawing significant attention and explore declining topics for a full picture of evolving interests. Our selection of highly cited topics and recent high-impact papers is curated within these guidelines to enhance your research impact.
LanguageEnglish
ISSN1864-8258
PublisherWALTER DE GRUYTER GMBH
Support Open AccessNo
CountryGermany
TypeJournal
Convergefrom 2008 to 2024
AbbreviationADV CALC VAR / Adv. Calc. Var.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY

Aims and Scopes

The journal 'Advances in Calculus of Variations' primarily focuses on the theoretical and applied aspects of calculus of variations and related fields. It serves as a platform for high-quality research that advances the understanding of variational problems and their applications across various mathematical disciplines.
  1. Variational Analysis and Optimization:
    The journal extensively covers variational principles and optimization techniques, exploring both classical and modern approaches to variational problems.
  2. Partial Differential Equations (PDEs):
    Significant emphasis is placed on the study of PDEs arising from variational problems, including regularity, existence, and uniqueness results.
  3. Geometric Analysis and Calculus of Variations:
    Research on geometric aspects of variational problems, such as mean curvature flow, Willmore energy, and curvature-based functionals is a core area of interest.
  4. Nonlinear Functional Analysis:
    The journal includes works on nonlinear functional theories, including Sobolev spaces, BV functions, and their applications in variational methods.
  5. Applications in Physics and Engineering:
    Papers often address applications of calculus of variations in physical models, materials science, and engineering problems, bridging the gap between theory and practical applications.
  6. Emerging Mathematical Techniques:
    The journal highlights innovative methodologies and mathematical tools used to tackle complex variational problems, including Gamma-convergence, optimal transport, and nonlocal operators.
The journal 'Advances in Calculus of Variations' reflects dynamic trends and emerging themes that resonate with contemporary mathematical research. Recent publications indicate a clear shift towards innovative approaches and interdisciplinary applications.
  1. Nonlocal and Fractional Calculus:
    There is an increasing focus on nonlocal variational problems and fractional calculus, indicating a growing interest in the complexities of nonlocal interactions and fractional dynamics.
  2. Optimal Transport and Geometry:
    Recent papers emphasize optimal transport theory and its connections to geometric analysis, highlighting its relevance in modern variational methods.
  3. Multiscale and Homogenization Techniques:
    The trend towards multiscale analysis and homogenization in variational problems suggests a move to tackle complex materials and phenomena in a rigorous mathematical framework.
  4. Advanced Regularity Theory:
    Emerging research on regularity results for solutions to nonlinear PDEs showcases a deeper exploration of the structure and properties of solutions in various contexts.
  5. Stochastic and Random Models:
    The integration of stochastic processes within variational frameworks indicates a trend towards exploring uncertainties and random phenomena in mathematical modeling.
  6. Interdisciplinary Applications:
    An increasing number of papers demonstrate the application of variational methods across disciplines such as biology, materials science, and finance, reflecting a broader impact of the field.

Declining or Waning

While 'Advances in Calculus of Variations' continues to foster a rich diversity of research themes, certain areas appear to be declining in frequency or prominence within the recent publications. This can reflect shifts in research focus or the maturation of specific topics.
  1. Classical Mechanics Applications:
    Research directly related to classical mechanics and its applications in calculus of variations seems to have diminished, as newer topics gain traction.
  2. Elementary Variational Problems:
    Basic variational problems that do not incorporate modern techniques or applications are less frequently addressed, indicating a shift towards more complex and applied aspects.
  3. Simplistic PDE Analyses:
    Papers focusing solely on elementary PDE analyses without significant variational or geometric context appear to be waning, as the journal emphasizes more advanced and integrative approaches.
  4. Single-Dimensional Problems:
    There is a noticeable decline in the publication of papers centered around single-variable variational problems, with a growing preference for multi-dimensional and complex systems.
  5. Historical Perspectives:
    Research that primarily discusses historical or classical approaches to variational calculus without new contributions or insights is becoming less common.

Similar Journals

Communications in Analysis and Mechanics

Pioneering open access to cutting-edge research and methodologies.
Publisher: AMER INST MATHEMATICAL SCIENCES-AIMSISSN: Frequency: 4 issues/year

Communications in Analysis and Mechanics is a pioneering journal published by the AMER INST MATHEMATICAL SCIENCES (AIMS), dedicated to advancing the fields of mathematics, engineering, and applied sciences. With its recent transition to Open Access in 2023, the journal aims to enhance the dissemination of high-quality research by fostering a collaborative environment for researchers, professionals, and students. Operating from the United States, this journal embraces a broad scope encompassing geometry, optimization, and mechanics, ensuring a comprehensive platform for innovation and critical discourse. Despite its nascent status, it features competitive Scopus rankings in various disciplines, notably achieving a percentile around 7th to 13th, indicative of its growing impact among peers. The editorial team is committed to publishing original research that addresses significant challenges and developments within the mathematical sciences, facilitating a vital exchange of ideas and methodologies.

Thai Journal of Mathematics

Empowering research and education in the heart of mathematics.
Publisher: CHIANG MAI UNIV, FAC SCIENCEISSN: 1686-0209Frequency: 3 issues/year

Thai Journal of Mathematics (ISSN: 1686-0209) is a distinguished publication within the mathematical sciences, based at Chiang Mai University, Faculty of Science in Thailand. With a focus on diverse mathematical topics, the journal has been actively publishing since 2011 and aims to present original research, reviews, and innovative applications that contribute to the global mathematical community. Despite its current Q4 ranking in Mathematics (miscellaneous) and a modest percentile in Scopus Ranks, it serves as a vital platform for researchers and educators looking to disseminate their findings and engage with emerging trends in mathematics. The journal supports open sharing of knowledge, fostering collaborations and discussions across borders, which is essential for the advancement of mathematical education and research. Researchers, professionals, and students are encouraged to contribute and access valuable insights that shape the future of mathematics.

Analysis & PDE

Fostering Excellence in Mathematical Research and Applications.
Publisher: MATHEMATICAL SCIENCE PUBLISSN: 1948-206XFrequency: 3 issues/year

Analysis & PDE is a premier journal dedicated to advancing the fields of analysis and partial differential equations, published by Mathematical Science Publications. With its ISSN 1948-206X, this journal has established itself as a critical platform for the dissemination of high-quality research since its inception in 2008. An indicator of its scholarly impact, it holds a prestigious Q1 ranking in the 2023 categories of Analysis, Applied Mathematics, and Numerical Analysis. The journal's esteemed standing is further underscored by its impressive Scopus rankings, including Rank #24 in Mathematics Analysis, placing it in the 87th percentile of its category. Aimed at researchers, professionals, and advanced students, Analysis & PDE provides a vital forum for innovative studies that push the boundaries of mathematics while fostering a deeper understanding of analytical methods and their applications across various real-world challenges. With no open access restrictions, it remains an accessible resource for the global research community. For more information, please reach out to the editorial office at the Department of Mathematics, University of California, Berkeley.

Bulletin of Mathematical Sciences

Fostering Collaboration in the Evolving Landscape of Mathematics
Publisher: WORLD SCIENTIFIC PUBL CO PTE LTDISSN: 1664-3607Frequency: 3 issues/year

The Bulletin of Mathematical Sciences, published by WORLD SCIENTIFIC PUBL CO PTE LTD, stands as a prominent open-access journal in the evolving field of mathematical research. Established in 2011 and based in Singapore, this journal aims to disseminate high-quality research findings and developments in all areas of mathematics, with a current focus reflected in its impressive Q2 categorization in the Mathematics (miscellaneous) bracket as of 2023. Ranking at #107/399 in the general mathematics category on Scopus, the journal is in the 73rd percentile, indicating its influence and contribution to the academic community. The open-access model ensures that futuristic mathematical insights are available to a broad audience, fostering collaboration and innovation among researchers, professionals, and students. With a commitment to advancing mathematical knowledge from 2011 to 2024, the Bulletin of Mathematical Sciences is a vital resource for anyone looking to stay abreast of current trends and breakthroughs in mathematics.

Georgian Mathematical Journal

Unveiling the complexities of mathematics since 1994.
Publisher: WALTER DE GRUYTER GMBHISSN: 1072-947XFrequency: 4 issues/year

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.

POTENTIAL ANALYSIS

Fostering Innovation in Mathematical Analysis
Publisher: SPRINGERISSN: 0926-2601Frequency: 8 issues/year

POTENTIAL ANALYSIS is a prestigious academic journal dedicated to the field of mathematical analysis, published by Springer. With the ISSN 0926-2601 and E-ISSN 1572-929X, this journal serves as a pivotal platform for scholars to disseminate cutting-edge research and advancements in potential theory, providing insights that bridge theoretical mathematics and applied analysis. Since its inception in 1992, POTENTIAL ANALYSIS has consistently maintained a high impact factor, boasting a Q1 rating in the 2023 category of Analysis, signifying its influence and reputation among its peers. It ranks 76 out of 193 in the Mathematics Analysis category in Scopus, placing it within the 60th percentile, which attests to the journal's commitment to quality and rigorous peer-review processes. While access to its articles is not open, it remains an essential resource for researchers, professionals, and students aiming to expand their understanding of potential theory and its applications in various fields. The journal's ongoing publication until 2024 promises a continual flow of innovative research, underpinning its role as an invaluable asset in the mathematical community.

APPLIED MATHEMATICS AND OPTIMIZATION

Charting New Territories in Mathematical Applications
Publisher: SPRINGERISSN: 0095-4616Frequency: 6 issues/year

Applied Mathematics and Optimization, published by Springer, is a prestigious journal dedicated to the rigorous exploration of applied mathematics, optimization techniques, and their multifaceted applications. Since its inception in 1974, the journal has maintained a robust reputation within the academic community, achieving a commendable Q1 ranking in both Applied Mathematics and Control and Optimization categories as of 2023. With an impact factor that underscores its influence in the field, the journal provides a platform for researchers and practitioners to disseminate innovative methodologies and significant advancements. While it does not offer Open Access, the journal’s esteemed peer-reviewed articles serve as invaluable resources for the advancement of theoretical knowledge and practical applications. Researchers, professionals, and students alike will find Applied Mathematics and Optimization an essential source for staying at the forefront of mathematical sciences, particularly in optimizing real-world systems and processes.

Proceedings of the Institute of Mathematics and Mechanics

Bridging Communities through Innovative Mathematical Research
Publisher: INST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJANISSN: 2409-4986Frequency: 2 issues/year

Proceedings of the Institute of Mathematics and Mechanics is a pivotal journal in the field of mathematics, dedicated to the advancement and dissemination of cutting-edge research in various sub-disciplines. Published by INST MATHEMATICS & MECHANICS, NATL ACAD SCIENCES AZERBAIJAN, this journal plays a significant role in bridging local and international research communities. With an ISSN of 2409-4986 and E-ISSN of 2409-4994, it has gained recognition, attaining a Q3 ranking in the Miscellaneous Mathematics category and placing in the 67th percentile on Scopus. Run from 2017 to 2024, the journal serves as an accessible platform for scholars and practitioners, inviting contributions that advance theoretical knowledge and practical applications in mathematics. With an emphasis on quality and innovation, the Proceedings of the Institute of Mathematics and Mechanics stands out as a vital resource for those looking to stay at the forefront of mathematical research and its multifaceted applications in various fields.

Analysis and Geometry in Metric Spaces

Elevating mathematical scholarship with open-access insights.
Publisher: DE GRUYTER POLAND SP Z O OISSN: 2299-3274Frequency: 1 issue/year

Analysis and Geometry in Metric Spaces is a distinguished open-access journal published by DE GRUYTER POLAND SP Z O O, dedicated to advancing the fields of analysis, geometry, and applied mathematics. Since its inception in 2013, the journal has established itself as a vital resource for researchers and practitioners, consistently achieving high rankings in its categories, including Q1 in Analysis and Q2 in Applied Mathematics and Geometry and Topology, with notable Scopus rankings reflecting its impact within the mathematical community. The journal aims to foster scholarly exchange by publishing rigorous research articles that explore innovative trends and significant developments in metric space theory. With continuous open-access accessibility, it ensures that the latest findings are readily available to academics across the globe, thus contributing to the broader discourse within mathematics. As the journal prepares to bridge the years to 2024, it remains committed to serving as a cornerstone for advancements in its scope and a beacon for methodological breakthroughs.

ADVANCED NONLINEAR STUDIES

Advancing Knowledge in Nonlinear Dynamics
Publisher: DE GRUYTER POLAND SP Z O OISSN: 1536-1365Frequency: 1 issue/year

ADVANCED NONLINEAR STUDIES is a premier academic journal dedicated to the exploration of nonlinear phenomena across various scientific disciplines, particularly within the fields of mathematics and statistical physics. Published by De Gruyter Poland Sp. z o.o., this journal has established itself as a significant resource for researchers and practitioners alike since its inception in 2001. With an impressive Q1 ranking in both mathematics and statistical/nonlinear physics, it remains at the forefront of innovative research, providing open access to its content since 2022, thus ensuring a wide dissemination of groundbreaking findings. In the latest Scopus rankings, it boasts excellent standing, placing it in the top 16% for general mathematics and in the upper tier for statistical and nonlinear physics. The journal aims to foster scientific discourse and collaboration, making it an essential platform for advancing knowledge and understanding in nonlinear studies. Located in Warsaw, Poland, ADVANCED NONLINEAR STUDIES continues to attract contributions from a global network of scholars, making it a vital hub for contemporary research in this dynamic field.