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Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 4/2011, Volume 200, Issue 1, pp. 141 - 182
Confirming a conjecture of Lyng–Raoofi–Texier–Zumbrun, we show that stability of strong detonation waves in the ZND, or small-viscosity, limit is equivalent to... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | GREEN-FUNCTION BOUNDS | SHOCK PROFILES | MATHEMATICS, APPLIED | WAVES | MECHANICS | INSTABILITY | SPECTRAL STABILITY | HOPF-BIFURCATION | INVARIANT | LINEAR-STABILITY | MODEL | NUMERICAL STRUCTURE
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 10/2016, Volume 261, Issue 7, pp. 3941 - 3963
In this paper, extending previous results of [2], we obtain pointwise nonlinear stability of periodic traveling reaction–diffusion waves, assuming spectral... 
MATHEMATICS | SYSTEMS | EQUATION | BEHAVIOR | VISCOUS CONSERVATION-LAWS
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 3/2012, Volume 203, Issue 3, pp. 701 - 717
We establish one-dimensional spectral, or “normal modes”, stability of Zel’dovich–von Neumann–Döring detonations in the small heat release limit and the... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | MATHEMATICS, APPLIED | MECHANICS | ALGORITHM
Journal Article
Journal Article
Zeitschrift fur Analysis und ihre Anwendung, ISSN 0232-2064, 2012, Volume 31, Issue 4, pp. 463 - 472
Using the relation established by Johnson-Zumbrun between Hill's method of aproximating spectra of periodic-coefficient ordinary differential operators and a... 
Evans function | Hill's method | Fredholm determinant | NONSELFADJOINT OPERATORS | MATHEMATICS | MATHEMATICS, APPLIED | INFINITE DETERMINANTS | LINEAR-OPERATORS
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 03/2018, Volume 367, pp. 11 - 18
Turing patterns on unbounded domains have been widely studied in systems of reaction–diffusion equations. However, up to now, they have not been studied for... 
Conservation laws | Turing instability | Stable periodic waves | MATHEMATICS, APPLIED | HILLS METHOD | SWIFT-HOHENBERG EQUATION | PHYSICS, MULTIDISCIPLINARY | CONVERGENCE | VISCOSITY | LINEAR-OPERATORS | SPECTRA | PHYSICS, MATHEMATICAL | Mathematics - Analysis of PDEs
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 12/2016, Volume 26, Issue 13, pp. 2451 - 2469
We carry out the first rigorous numerical proof based on Evans function computations of stability of viscous shock profiles, for the system of isentropic gas... 
Evans function | computer-aided proof | Gas dynamics | stability of traveling waves | MATHEMATICS, APPLIED | WAVES | SYSTEMS | ACCURACY
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2/2018, Volume 358, Issue 1, pp. 1 - 43
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 12/2010, Volume 362, Issue 12, pp. 6397 - 6424
We investigate one- and multi-dimensional stability of noncharacteristic boundary layers in the limit approaching a standing planar shock wave Ū(x₁), x₁ > 0,... 
Shock waves | Gases | Zero | Eigenvalues | Ideal gas | Boundary conditions | Mathematics | Necessary conditions | Dimensional stability | Boundary layers | MATHEMATICS | SYMMETRIC-SYSTEMS | GREEN-FUNCTION BOUNDS | PROFILES | INSTABILITY | SPECTRAL STABILITY
Journal Article
Quarterly of Applied Mathematics, ISSN 0033-569X, 2018, Volume 76, Issue 3, pp. 531 - 545
The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the... 
FRONTS | MATHEMATICS, APPLIED | PROFILES | SPECTRAL STABILITY | HYPERBOLIC-PARABOLIC SYSTEMS
Journal Article
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, 2017, Volume 17, Issue 2, pp. 1766 - 1785
The Evans function has become a standard tool in the mathematical study of nonlinear wave stability. In particular, computation of its zero set gives a... 
Evans function | Viscous shock profile | Stability | MATHEMATICS, APPLIED | viscous shock profile | NAVIER-STOKES SHOCKS | INSTABILITY | LARGE SYSTEMS | DETONATION-WAVES | PHYSICS, MATHEMATICAL | TRAVELING-WAVES | REAL VISCOSITY | VISCOUS SHOCK PROFILES | COMPOUND MATRIX-METHOD | stability | MAJDAS MODEL
Journal Article
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, ISSN 0022-247X, 07/2019, Volume 475, Issue 1, pp. 190 - 202
We consider the question of exponential decay to equilibrium of solutions of an abstract class of degenerate evolution equations on a Hilbert space modeling... 
Stable manifold | MATHEMATICS | MATHEMATICS, APPLIED | Boltzmann equation | Degenerate evolution equation
Journal Article
Quarterly of applied mathematics, ISSN 1552-4485, 2011, Volume 69, Issue 1, pp. 177 - 202
Journal Article
ANTIMICROBIAL AGENTS AND CHEMOTHERAPY, ISSN 0066-4804, 12/2019, Volume 63, Issue 12
This study investigated the in vitro activity of finafloxacin against bacterial strain panels of the biodefense pathogens. Broth microdilution assays were... 
MICROBIOLOGY | in vitro activity | acidic pH | acid environments | biothreat pathogens | finafloxacin | BPEAB-OPRB | EFFLUX PUMP | in vitro | RESISTANCE | PH | PHARMACOLOGY & PHARMACY | FLUOROQUINOLONE | biodefense
Journal Article
SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2016, Volume 48, Issue 1, pp. 268 - 280
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2008, Volume 237, Issue 10, pp. 1553 - 1601
Journal Article
ANTIMICROBIAL AGENTS AND CHEMOTHERAPY, ISSN 0066-4804, 12/2019, Volume 63, Issue 12
Burkholderia pseudomallei, the etiological agent of melioidosis, is a Gram-negative bacterium with additional concern as a biothreat pathogen. The mortality... 
antibiotic | AMINOGLYCOSIDES | ANTIBIOTIC-RESISTANCE | MICROBIOLOGY | melioidosis | MECHANISMS | ANTIMICROBIAL RESISTANCE | CEFTAZIDIME | EFFLUX PUMP | BURKHOLDERIA-PSEUDOMALLEI | GC-072 | FLUOROQUINOLONES | DNA GYRASE | PHARMACOLOGY & PHARMACY | Burkholderia | STRAIN | biodefense
Journal Article
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