CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Scope & Guideline

Cultivating Knowledge in Partial Differential Equations

Introduction

Welcome to the CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN0944-2669
PublisherSPRINGER HEIDELBERG
Support Open AccessNo
CountryGermany
TypeJournal
Convergefrom 1993 to 2024
AbbreviationCALC VAR PARTIAL DIF / Calc. Var. Partial Differ. Equ.
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY

Aims and Scopes

The journal 'Calculus of Variations and Partial Differential Equations' is dedicated to advancing the understanding of variational methods and their applications to partial differential equations (PDEs). It encompasses a diverse range of topics, reflecting the interdisciplinary nature of the research in both theoretical and applied mathematics.
  1. Variational Analysis:
    A core focus of the journal is the study of variational problems, including existence, regularity, and qualitative properties of solutions to variational equations and inequalities.
  2. Partial Differential Equations (PDEs):
    The journal covers a wide spectrum of PDEs, including elliptic, parabolic, and hyperbolic equations, emphasizing their mathematical foundations and applications.
  3. Geometric Analysis:
    Research related to geometric flows, minimal surfaces, and curvature problems is prominently featured, highlighting the interplay between geometry and analysis.
  4. Nonlinear Analysis:
    The journal explores nonlinear phenomena, including critical and supercritical growth conditions in PDEs, as well as the stability and bifurcation analysis of solutions.
  5. Mathematical Physics:
    It includes studies that bridge mathematics and physics, particularly in areas such as fluid dynamics, wave propagation, and statistical mechanics.
  6. Numerical Methods and Computational Approaches:
    The journal also presents contributions on numerical methods for solving variational problems and PDEs, reflecting the increasing importance of computational techniques in modern research.
The journal is witnessing emerging themes that reflect the evolving landscape of mathematical research, particularly in variational methods and PDEs.
  1. Nonlocal and Fractional PDEs:
    There is a growing interest in nonlocal and fractional PDEs, with many recent papers addressing their properties, solutions, and applications, indicating a shift towards more generalized mathematical frameworks.
  2. Geometric Flows:
    Research on geometric flows, such as mean curvature flow and curvature evolution equations, has gained momentum, showcasing the integration of geometric analysis within variational calculus.
  3. Stochastic and Random PDEs:
    Emerging themes include the study of stochastic processes and random PDEs, reflecting an interdisciplinary approach that combines probability theory with variational methods.
  4. Applications in Materials Science and Biological Models:
    There is an increasing number of papers applying variational principles to materials science and biological systems, indicating a trend towards practical applications of mathematical theories.
  5. Phase Transition and Free Boundary Problems:
    Research in phase transitions and free boundary problems is becoming more prominent, highlighting the relevance of variational methods in applied contexts.

Declining or Waning

While the journal has consistently focused on a range of important areas, certain themes appear to be declining in prominence based on recent publication trends.
  1. Classical Calculus of Variations:
    Traditionally, the journal has published many papers on classical variational problems; however, there is a noticeable shift towards more complex and generalized variational frameworks.
  2. Linear PDEs:
    Research on linear PDEs appears less frequently, as the focus has shifted to nonlinear equations and their varied applications.
  3. Geometric Measure Theory:
    Although still relevant, papers specifically dedicated to geometric measure theory and its applications in variational calculus have become less common.
  4. Static Solutions:
    The exploration of static or equilibrium solutions to variational problems is diminishing, with a noticeable increase in dynamic and time-dependent analyses.

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