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Research Output 1997 2019

  • 355 Citations
  • 10 h-Index
  • 28 Article
  • 2 Chapter
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Article
2019
2 Citations (Scopus)

A Generalization of an Integrability Theorem of Darboux

Benfield, M., Jenssen, H. K. & Kogan, I. A., Dec 1 2019, In : Journal of Geometric Analysis. 29, 4, p. 3470-3493 24 p.

Research output: Contribution to journalArticle

Integrability
Local Existence
Theorem
Vector Field
Picard Iteration

A mixed boundary value problem for uxy = f(x,y,u,ux,uy)

Jenssen, H. K. & Kogan, I. A., Jan 1 2019, (Accepted/In press) In : Journal of Differential Equations.

Research output: Contribution to journalArticle

Mixed Boundary Value Problem
Boundary value problems
Local Solution
Hyperbolic PDEs
Picard Iteration

Jacobians with prescribed eigenvectors

Benfield, M., Jenssen, H. K. & Kogan, I. A., Aug 2019, In : Differential Geometry and its Application. 65, p. 108-146 39 p.

Research output: Contribution to journalArticle

Eigenvalues and eigenfunctions
Eigenvector
Jacobian matrices
Partial
Vector Field
2018
1 Citation (Scopus)

On similarity flows for the compressible Euler system

Jenssen, H. K. & Tsikkou, C., Dec 1 2018, In : Journal of Mathematical Physics. 59, 12, 121507.

Research output: Contribution to journalArticle

Euler System
Shock
Multidimensional Systems
shock
Weak Solution
2017
2 Citations (Scopus)
rarefaction
Compressible flow
Compressible Flow
Exact Solution
Vacuum
2016

Convergence of exterior solutions to radial Cauchy solutions for ∂2 t U - c2ΔU = 0

Jenssen, H. K. & Tsikkou, C., Sep 30 2016, In : Electronic Journal of Differential Equations. 2016, 266.

Research output: Contribution to journalArticle

Cauchy
Wave equation
Neumann Condition
Dirichlet conditions
Explicit Solution

Radial solutions to the Cauchy problem for 1+3U = 0 as limits of exterior solutions

Jenssen, H. K. & Tsikkou, C., Dec 1 2016, In : Journal of Hyperbolic Differential Equations. 13, 4, p. 833-860 28 p.

Research output: Contribution to journalArticle

Radial Solutions
Wave equation
Cauchy Problem
Cauchy
Dirichlet
2013
6 Citations (Scopus)

No TVD Fields for 1-D Isentropic Gas Flow

Chen, G. & Jenssen, H. K., Apr 1 2013, In : Communications in Partial Differential Equations. 38, 4, p. 629-657 29 p.

Research output: Contribution to journalArticle

Gas Flow
Flow of gases
Gas dynamics
Conservation
Hyperbolic Systems of Conservation Laws
2012
1 Citation (Scopus)

Extensions for Systems of Conservation Laws

Jenssen, H. K. & Kogan, I. A., Jun 1 2012, In : Communications in Partial Differential Equations. 37, 6, p. 1096-1140 45 p.

Research output: Contribution to journalArticle

Systems of Conservation Laws
Jacobian matrices
Eigenvalues and eigenfunctions
Conservation
Trivial
3 Citations (Scopus)

Pairwise Wave Interactions in Ideal Polytropic Gases

Chen, G., Endres, E. E. & Jenssen, H. K., Jun 1 2012, In : Archive for Rational Mechanics and Analysis. 204, 3, p. 787-836 50 p.

Research output: Contribution to journalArticle

Wave Interaction
Ideal Gas
Pairwise
Gases
Contact
2010
35 Citations (Scopus)

One-dimensional compressible flow with temperature dependent transport coefficients

Jenssen, H. K. & Karper, T. K., May 14 2010, In : SIAM Journal on Mathematical Analysis. 42, 2, p. 904-930 27 p.

Research output: Contribution to journalArticle

Transport Coefficients
Compressible flow
Compressible Flow
Weak Solution
Dependent
2 Citations (Scopus)

Singularly perturbed odes and profiles for stationary symmetric euler and navier-stokes shocks

Endres, E., Jenssen, H. K. & Williams, M., May 1 2010, In : Discrete and Continuous Dynamical Systems. 27, 1, p. 133-169 37 p.

Research output: Contribution to journalArticle

Singularly Perturbed
Navier-Stokes
Euler Equations
Euler
Shock
3 Citations (Scopus)

Systems of hyperbolic conservation laws with prescribed eigencurves

Jenssen, H. K. & Kogan, I. A., Jun 1 2010, In : Journal of Hyperbolic Differential Equations. 7, 2, p. 211-254 44 p.

Research output: Contribution to journalArticle

Hyperbolic Systems of Conservation Laws
Eigenvector
Euler System
Overdetermined Systems
Conservative System
2009
1 Citation (Scopus)

Compressible 1d Euler equations with large data: A case study

Eenders, E. E. & Jenssen, H. K., Aug 4 2009, In : Journal of Hyperbolic Differential Equations. 6, 2, p. 389-406 18 p.

Research output: Contribution to journalArticle

Compressible Euler Equations
Large Data
Shock
Contact
Lagrangian Coordinates
2008
3 Citations (Scopus)

Symmetric Euler and Navier-Stokes shocks in stationary barotropic flow on a bounded domain

Endres, E., Jenssen, H. K. & Williams, M., Nov 15 2008, In : Journal of Differential Equations. 245, 10, p. 3025-3067 43 p.

Research output: Contribution to journalArticle

Smooth Solution
Navier-Stokes
Euler Equations
Euler
Bounded Domain
2007
11 Citations (Scopus)

Existence and stability of curved multidimensional detonation fronts

Costanzino, N., Jenssen, H. K., Lyng, G. & Williams, M., Aug 3 2007, In : Indiana University Mathematics Journal. 56, 3, p. 1405-1461 57 p.

Research output: Contribution to journalArticle

Detonation
Nonlinear Stability
Zero
Ideal Gas
Unstable

Instability of finite difference schemes for hyperbolic conservation laws

Bressan, A., Baiti, P. & Jenssen, H. K., May 21 2007, In : Annals of Mathematics Studies. 163, p. 43-53 11 p.

Research output: Contribution to journalArticle

Hyperbolic Conservation Laws
Finite Difference Scheme
3 Citations (Scopus)

Numerical investigation of cavitation in multidimensional compressible flows

Devault, K. J., Gremaud, P. A. & Jenssen, H. K., Dec 1 2007, In : SIAM Journal on Applied Mathematics. 67, 6, p. 1675-1692 18 p.

Research output: Contribution to journalArticle

Compressible flow
Cavitation
Compressible Flow
Numerical Investigation
Velocity Field
2006
9 Citations (Scopus)

An instability of the Godunov scheme

Bressan, A., Jenssen, H. K. & Baiti, P., Nov 1 2006, In : Communications on Pure and Applied Mathematics. 59, 11, p. 1604-1638 35 p.

Research output: Contribution to journalArticle

Glimm Scheme
Godunov Scheme
Viscosity Method
Vanishing Viscosity
Hyperbolic Systems of Conservation Laws
2005
18 Citations (Scopus)

Equivalence of low-frequency stability conditions for multidimensional detonations in three models of combustion

Jenssen, H. K., Lyng, G. & Williams, M., Apr 28 2005, In : Indiana University Mathematics Journal. 54, 1, p. 1-64 64 p.

Research output: Contribution to journalArticle

Detonation
Stability Condition
Combustion
Low Frequency
Equivalence
5 Citations (Scopus)

Instability of travelling wave profiles for the lax-friedrichs scheme

Baiti, P., Bressan, A. & Jenssen, H. K., Nov 1 2005, In : Discrete and Continuous Dynamical Systems. 13, 4, p. 877-899 23 p.

Research output: Contribution to journalArticle

Traveling Wave
Wave Speed
Hyperbolic Systems of Conservation Laws
Discrete Approximation
Real Line
2004
34 Citations (Scopus)

Symmetric nonbarotropic flows with large data and forces

Hoff, D. & Jenssen, H. K., Sep 1 2004, In : Archive for Rational Mechanics and Analysis. 173, 3, p. 297-343 47 p.

Research output: Contribution to journalArticle

Compressible flow
Large Data
Navier Stokes equations
Momentum
Vacuum
2001
14 Citations (Scopus)

Blowup in L for a class of genuinely nonlinear hyperbolic systems of conservation laws

Baiti, P. & Jenssen, H. K., Dec 1 2001, In : Discrete and Continuous Dynamical Systems. 7, 4, p. 837-853 17 p.

Research output: Contribution to journalArticle

Nonlinear Hyperbolic Systems
Hyperbolic Systems of Conservation Laws
Blow-up
Conservation
Entropy
11 Citations (Scopus)

On the spreading of characteristics for non-convex conservation laws

Jenssen, H. K. & Sinestrari, C., Dec 1 2001, In : Royal Society of Edinburgh - Proceedings A. 131, 6, p. 909-925 17 p.

Research output: Contribution to journalArticle

Conservation Laws
Lipschitz
Estimate
Point of inflection
Scalar Conservation Laws
2000
31 Citations (Scopus)

Blowup for systems of conservation laws

Jenssen, H. K., Jan 1 2000, In : SIAM Journal on Mathematical Analysis. 31, 4, p. 894-908 15 p.

Research output: Contribution to journalArticle

Systems of Conservation Laws
Blow-up
Conservation
Norm
Finite Time Blow-up
1999
1 Citation (Scopus)

Blowup asymptotics for scalar conservation laws with a source

Jenssen, H. K. & Sinestrari, C., Dec 1 1999, In : Communications in Partial Differential Equations. 24, 11-12, p. 2237-2261 25 p.

Research output: Contribution to journalArticle

Scalar Conservation Laws
Blow-up
Conservation
1998
52 Citations (Scopus)

On the Front-Tracking Algorithm

Baiti, P. & Jenssen, H. K., Jan 15 1998, In : Journal of Mathematical Analysis and Applications. 217, 2, p. 395-404 10 p.

Research output: Contribution to journalArticle

Front Tracking
Systems of Conservation Laws
Numerical Scheme
Conservation
Theoretical Analysis
1997
38 Citations (Scopus)

Well-posedness for a class of 2 × 2 conservation laws with L data

Baiti, P. & Jenssen, H. K., Oct 10 1997, In : Journal of Differential Equations. 140, 1, p. 161-185 25 p.

Research output: Contribution to journalArticle

Well-posedness
Conservation Laws
Conservation
Entropy
Entropy Condition