Journal of Hyperbolic Differential Equations

Aims & Scope

This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest.

Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics.

The Journal welcomes contributions in: Theory of nonlinear hyperbolic systems of conservation laws, addressing the issues of well-posedness and qualitative behavior of solutions, in one or several space dimensions.

Hyperbolic differential equations of mathematical physics, such as the Einstein equations of general relativity, Dirac equations, Maxwell equations, relativistic fluid models, etc.

Lorentzian geometry, particularly global geometric and causal theoretic aspects of spacetimes satisfying the Einstein equations.

Nonlinear hyperbolic systems arising in continuum physics such as: hyperbolic models of fluid dynamics, mixed models of transonic flows, etc.

General problems that are dominated (but not exclusively driven) by finite speed phenomena, such as dissipative and dispersive perturbations of hyperbolic systems, and models from statistical mechanics and other probabilistic models relevant to the derivation of fluid dynamical equations.

Convergence analysis of numerical methods for hyperbolic equations: finite difference schemes, finite volumes schemes, etc.

View Aims & Scope

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Metrics & Ranking

Impact Factor

Year	Value
2025	1.1
2024	0.50

SJR (SCImago Journal Rank)

Year	Value
2024	0.733

Quartile

Year	Value
2024	Q1

h-index

Year	Value
2024	36

Journal Rank

Year	Value
2024	7637

Journal Citation Indicator

Year	Value
2024	68

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Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

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Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

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Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H¹(<b>R</b>)

  Citation: 146

  Authors: TERENCE

• INHOMOGENEOUS STRICHARTZ ESTIMATES

  Citation: 137

  Authors: DAMIANO

• OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS

  Citation: 113

  Authors: SIDDHARTHA, G. D. VEERAPPA

• GLOBAL SMOOTH FLOWS FOR THE COMPRESSIBLE EULER–MAXWELL SYSTEM: THE RELAXATION CASE

  Citation: 95

  Authors: RENJUN

• MIXED EQUATIONS AND TRANSONIC FLOW

  Citation: 84

  Authors: CATHLEEN SYNGE

• DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES

  Citation: 82

  Authors: DARKO, MARKO

• A counterexample to well-posedness of entropy solutions to the compressible Euler system

  Citation: 82

  Authors: Elisabetta

• EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS

  Citation: 81

  Authors: E. YU.

• COUPLING EULER AND VLASOV EQUATIONS IN THE CONTEXT OF SPRAYS: THE LOCAL-IN-TIME, CLASSICAL SOLUTIONS

  Citation: 81

  Authors: CÉLINE, LAURENT

• DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION

  Citation: 68

  Authors: YOUSUKE, SHUICHI

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