Cruz-García, Salvador Spectrum of the \(M^5\)-traveling waves. (English) Zbl 1469.35078 Math. Model. Nat. Phenom. 15, Paper No. 66, 24 p. (2020). MSC: 35C07 34L05 35B35 35A18 92C17 35L40 PDF BibTeX XML Cite \textit{S. Cruz-García}, Math. Model. Nat. Phenom. 15, Paper No. 66, 24 p. (2020; Zbl 1469.35078) Full Text: DOI OpenURL
Choi, Kyudong; Kang, Moon-Jin; Vasseur, Alexis F. Global well-posedness of large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. (English. French summary) Zbl 1448.92036 J. Math. Pures Appl. (9) 142, 266-297 (2020). MSC: 92C17 92C32 35C07 35B35 PDF BibTeX XML Cite \textit{K. Choi} et al., J. Math. Pures Appl. (9) 142, 266--297 (2020; Zbl 1448.92036) Full Text: DOI arXiv OpenURL
Choi, Kyudong; Kang, Moon-Jin; Kwon, Young-Sam; Vasseur, Alexis F. Contraction for large perturbations of traveling waves in a hyperbolic-parabolic system arising from a chemotaxis model. (English) Zbl 1443.92058 Math. Models Methods Appl. Sci. 30, No. 2, 387-437 (2020). MSC: 92C17 92C32 35Q92 35C07 PDF BibTeX XML Cite \textit{K. Choi} et al., Math. Models Methods Appl. Sci. 30, No. 2, 387--437 (2020; Zbl 1443.92058) Full Text: DOI arXiv OpenURL
Chae, Myeongju; Choi, Kyudong Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion. (English) Zbl 1432.92013 J. Differ. Equations 268, No. 7, 3449-3496 (2020). MSC: 92C17 92C32 35Q92 35C07 PDF BibTeX XML Cite \textit{M. Chae} and \textit{K. Choi}, J. Differ. Equations 268, No. 7, 3449--3496 (2020; Zbl 1432.92013) Full Text: DOI arXiv OpenURL
Barker, Blake; Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin Balanced flux formulations for multidimensional Evans-function computations for viscous shocks. (English) Zbl 1398.35160 Q. Appl. Math. 76, No. 3, 531-545 (2018). Reviewer: K. N. Shukla (Gurgaon) MSC: 35Q35 76L05 35P20 34L15 PDF BibTeX XML Cite \textit{B. Barker} et al., Q. Appl. Math. 76, No. 3, 531--545 (2018; Zbl 1398.35160) Full Text: DOI arXiv OpenURL
Humpherys, Jeffrey; Lyng, Gregory; Zumbrun, Kevin Multidimensional stability of large-amplitude Navier-Stokes shocks. (English) Zbl 1386.35326 Arch. Ration. Mech. Anal. 226, No. 3, 923-973 (2017). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76N15 76L05 PDF BibTeX XML Cite \textit{J. Humpherys} et al., Arch. Ration. Mech. Anal. 226, No. 3, 923--973 (2017; Zbl 1386.35326) Full Text: DOI arXiv OpenURL
Rodrigues, L. Miguel; Zumbrun, Kevin Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow. (English) Zbl 1341.35128 SIAM J. Math. Anal. 48, No. 1, 268-280 (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 76A20 76L05 35B10 35B35 35K59 PDF BibTeX XML Cite \textit{L. M. Rodrigues} and \textit{K. Zumbrun}, SIAM J. Math. Anal. 48, No. 1, 268--280 (2016; Zbl 1341.35128) Full Text: DOI arXiv OpenURL
Barker, Blake; Freistühler, Heinrich; Zumbrun, Kevin Convex entropy, Hopf bifurcation, and viscous and inviscid shock stability. (English) Zbl 1329.35240 Arch. Ration. Mech. Anal. 217, No. 1, 309-372 (2015). MSC: 35Q35 76N17 76E09 35B32 35Q15 35P05 PDF BibTeX XML Cite \textit{B. Barker} et al., Arch. Ration. Mech. Anal. 217, No. 1, 309--372 (2015; Zbl 1329.35240) Full Text: DOI arXiv OpenURL
Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit. (English) Zbl 1310.35035 Trans. Am. Math. Soc. 367, No. 3, 2159-2212 (2015). MSC: 35B35 35B10 35Q53 76A20 35B25 PDF BibTeX XML Cite \textit{M. A. Johnson} et al., Trans. Am. Math. Soc. 367, No. 3, 2159--2212 (2015; Zbl 1310.35035) Full Text: DOI arXiv OpenURL
Plaza, Ramón G. \(L^p\)-decay rates for perturbations of degenerate scalar viscous shock waves. (English) Zbl 1227.35209 J. Math. Anal. Appl. 382, No. 2, 864-882 (2011). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 35L65 76A02 35L03 35C07 35K58 PDF BibTeX XML Cite \textit{R. G. Plaza}, J. Math. Anal. Appl. 382, No. 2, 864--882 (2011; Zbl 1227.35209) Full Text: DOI OpenURL
Zumbrun, Kevin Instantaneous shock location and one-dimensional nonlinear stability of viscous shock waves. (English) Zbl 1221.35059 Q. Appl. Math. 69, No. 1, 177-202 (2011). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 35B35 35L67 35A22 PDF BibTeX XML Cite \textit{K. Zumbrun}, Q. Appl. Math. 69, No. 1, 177--202 (2011; Zbl 1221.35059) Full Text: DOI arXiv Link OpenURL
Zumbrun, Kevin Conditional stability of unstable viscous shock waves in compressible gas dynamics and MHD. (English) Zbl 1228.35049 Arch. Ration. Mech. Anal. 198, No. 3, 1031-1056 (2010). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35L67 35Q35 35Q60 76L05 76W05 35L65 35K58 PDF BibTeX XML Cite \textit{K. Zumbrun}, Arch. Ration. Mech. Anal. 198, No. 3, 1031--1056 (2010; Zbl 1228.35049) Full Text: DOI arXiv OpenURL
Barker, Blake; Humpherys, Jeffrey; Zumbrun, Kevin One-dimensional stability of parallel shock layers in isentropic magnetohydrodynamics. (English) Zbl 1402.76051 J. Differ. Equations 249, No. 9, 2175-2213 (2010). MSC: 76E25 34D20 35Q35 76L05 76N10 76W05 PDF BibTeX XML Cite \textit{B. Barker} et al., J. Differ. Equations 249, No. 9, 2175--2213 (2010; Zbl 1402.76051) Full Text: DOI arXiv OpenURL
Humpherys, Jeffrey; Lafitte, Olivier; Zumbrun, Kevin Stability of isentropic Navier-Stokes shocks in the high-Mach number limit. (English) Zbl 1195.35244 Commun. Math. Phys. 293, No. 1, 1-36 (2010). MSC: 35Q30 76N10 35B35 76M10 76M27 PDF BibTeX XML Cite \textit{J. Humpherys} et al., Commun. Math. Phys. 293, No. 1, 1--36 (2010; Zbl 1195.35244) Full Text: DOI arXiv OpenURL
Nguyen, Toan; Plaza, Ramón G.; Zumbrun, Kevin Stability of radiative shock profiles for hyperbolic-elliptic coupled systems. (English) Zbl 1195.37045 Physica D 239, No. 8, 428-453 (2010). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K45 35L67 76L05 37L15 PDF BibTeX XML Cite \textit{T. Nguyen} et al., Physica D 239, No. 8, 428--453 (2010; Zbl 1195.37045) Full Text: DOI arXiv OpenURL
Métivier, Guy; Zumbrun, Kevin Existence of semilinear relaxation shocks. (English) Zbl 1180.35358 J. Math. Pures Appl. (9) 92, No. 3, 209-231 (2009). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 35L65 35L60 PDF BibTeX XML Cite \textit{G. Métivier} and \textit{K. Zumbrun}, J. Math. Pures Appl. (9) 92, No. 3, 209--231 (2009; Zbl 1180.35358) Full Text: DOI arXiv OpenURL
Zumbrun, Kevin Conditional stability of unstable viscous shocks. (English) Zbl 1175.35015 J. Differ. Equations 247, No. 2, 648-671 (2009). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35K55 35L67 PDF BibTeX XML Cite \textit{K. Zumbrun}, J. Differ. Equations 247, No. 2, 648--671 (2009; Zbl 1175.35015) Full Text: DOI arXiv OpenURL
Texier, Benjamin; Zumbrun, Kevin Galloping instability of viscous shock waves. (English) Zbl 1143.76439 Physica D 237, No. 10-12, 1553-1601 (2008). MSC: 76E17 76L05 35Q35 PDF BibTeX XML Cite \textit{B. Texier} and \textit{K. Zumbrun}, Physica D 237, No. 10--12, 1553--1601 (2008; Zbl 1143.76439) Full Text: DOI arXiv OpenURL
Humpherys, Jeffrey; Sandstede, Björn; Zumbrun, Kevin Efficient computation of analytic bases in Evans function analysis of large systems. (English) Zbl 1104.65081 Numer. Math. 103, No. 4, 631-642 (2006). Reviewer: Zdzislaw Jackiewicz (Tempe) MSC: 65L15 34L16 PDF BibTeX XML Cite \textit{J. Humpherys} et al., Numer. Math. 103, No. 4, 631--642 (2006; Zbl 1104.65081) Full Text: DOI OpenURL
Howard, Peter; Zumbrun, Kevin Stability of undercompressive shock profiles. (English) Zbl 1102.35069 J. Differ. Equations 225, No. 1, 308-360 (2006). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35K15 35B35 PDF BibTeX XML Cite \textit{P. Howard} and \textit{K. Zumbrun}, J. Differ. Equations 225, No. 1, 308--360 (2006; Zbl 1102.35069) Full Text: DOI arXiv OpenURL
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin Existence and stability of multidimensional shock fronts in the vanishing viscosity limit. (English) Zbl 1072.35122 Arch. Ration. Mech. Anal. 175, No. 2, 151-244 (2005). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 35L65 35L45 35L60 PDF BibTeX XML Cite \textit{O. Guès} et al., Arch. Ration. Mech. Anal. 175, No. 2, 151--244 (2005; Zbl 1072.35122) Full Text: DOI HAL OpenURL
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin Multidimensional viscous shocks. I: Degenerate symmetrizers and long time stability. (English) Zbl 1058.35163 J. Am. Math. Soc. 18, No. 1, 61-120 (2005). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 35L60 35B35 35B45 35K55 35L65 76L05 PDF BibTeX XML Cite \textit{O. Guès} et al., J. Am. Math. Soc. 18, No. 1, 61--120 (2005; Zbl 1058.35163) Full Text: DOI OpenURL
Howard, Peter Local tracking and stability for degenerate viscous shock waves. (English) Zbl 1019.35064 J. Differ. Equations 186, No. 2, 440-469 (2002). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35L67 35L60 35L65 76L05 35L45 PDF BibTeX XML Cite \textit{P. Howard}, J. Differ. Equations 186, No. 2, 440--469 (2002; Zbl 1019.35064) Full Text: DOI OpenURL
Fries, Christian Nonlinear asymptotic stability of general small-amplitude viscous Laxian shock waves. (English) Zbl 0921.35106 J. Differ. Equations 146, No. 1, 185-202 (1998). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 35L65 35K55 35B40 PDF BibTeX XML Cite \textit{C. Fries}, J. Differ. Equations 146, No. 1, 185--202 (1998; Zbl 0921.35106) Full Text: DOI OpenURL
Liu, Tai-Ping; Zumbrun, Kevin On nonlinear stability of general undercompressive viscous shock waves. (English) Zbl 0840.76028 Commun. Math. Phys. 174, No. 2, 319-345 (1995). MSC: 76L05 35L67 PDF BibTeX XML Cite \textit{T.-P. Liu} and \textit{K. Zumbrun}, Commun. Math. Phys. 174, No. 2, 319--345 (1995; Zbl 0840.76028) Full Text: DOI OpenURL
Johnson, Claes; Szepessy, Anders Adaptive finite element methods for conservation laws based on a posteriori error estimates. (English) Zbl 0826.65088 Commun. Pure Appl. Math. 48, No. 3, 199-234 (1995). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M60 65M15 65M12 35L65 PDF BibTeX XML Cite \textit{C. Johnson} and \textit{A. Szepessy}, Commun. Pure Appl. Math. 48, No. 3, 199--234 (1995; Zbl 0826.65088) Full Text: DOI OpenURL
Liu, Tai-Ping; Zumbrun, Kevin Nonlinear stability of an undercompressive shock for complex Burgers equation. (English) Zbl 0821.35123 Commun. Math. Phys. 168, No. 1, 163-186 (1995). MSC: 35Q53 76L05 35B35 PDF BibTeX XML Cite \textit{T.-P. Liu} and \textit{K. Zumbrun}, Commun. Math. Phys. 168, No. 1, 163--186 (1995; Zbl 0821.35123) Full Text: DOI OpenURL
Bardos, C.; Pironneau, O. Small perturbations and Euler equations for aeroelasticity. (Petites perturbations et équations d’Euler pour l’aéroélasticité.) (French. English summary) Zbl 0820.76071 RAIRO, Modélisation Math. Anal. Numér. 28, No. 4, 463-497 (1994). MSC: 76N10 74F10 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{O. Pironneau}, RAIRO, Modélisation Math. Anal. Numér. 28, No. 4, 463--497 (1994; Zbl 0820.76071) Full Text: DOI EuDML OpenURL
Liu, Jian-Guo; Xin, Zhouping Nonlinear stability of discrete shocks for systems of conservation laws. (English) Zbl 0807.35087 Arch. Ration. Mech. Anal. 125, No. 3, 217-256 (1993). Reviewer: M.Shearer (Raleigh) MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{J.-G. Liu} and \textit{Z. Xin}, Arch. Ration. Mech. Anal. 125, No. 3, 217--256 (1993; Zbl 0807.35087) Full Text: DOI OpenURL
Szepessy, Anders; Xin, Zhouping Nonlinear stability of viscous shock waves. (English) Zbl 0803.35097 Arch. Ration. Mech. Anal. 122, No. 1, 53-103 (1993). MSC: 35L70 76L05 35L67 PDF BibTeX XML Cite \textit{A. Szepessy} and \textit{Z. Xin}, Arch. Ration. Mech. Anal. 122, No. 1, 53--103 (1993; Zbl 0803.35097) Full Text: DOI OpenURL
Freistühler, Heinrich; Liu, Tai-Ping Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws. (English) Zbl 0768.76024 Commun. Math. Phys. 153, No. 1, 147-158 (1993). MSC: 76E30 76L05 35B35 76E25 PDF BibTeX XML Cite \textit{H. Freistühler} and \textit{T.-P. Liu}, Commun. Math. Phys. 153, No. 1, 147--158 (1993; Zbl 0768.76024) Full Text: DOI OpenURL