Khesin, Boris; Peralta-Salas, Daniel; Yang, Cheng The helicity uniqueness conjecture in 3D hydrodynamics. (English) Zbl 07462175 Trans. Am. Math. Soc. 375, No. 2, 909-924 (2022). MSC: 37K65 37K30 35Q31 70H33 37N10 PDF BibTeX XML Cite \textit{B. Khesin} et al., Trans. Am. Math. Soc. 375, No. 2, 909--924 (2022; Zbl 07462175) Full Text: DOI arXiv OpenURL
Duan, Renjun; Liu, Shuangqian Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains. (English) Zbl 1479.35661 Trans. Am. Math. Soc. 374, No. 11, 7867-7924 (2021). MSC: 35Q35 35Q31 35Q20 76P05 76N06 82C40 35B65 35A01 PDF BibTeX XML Cite \textit{R. Duan} and \textit{S. Liu}, Trans. Am. Math. Soc. 374, No. 11, 7867--7924 (2021; Zbl 1479.35661) Full Text: DOI arXiv OpenURL
Ao, Weiwei; Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. (English) Zbl 1477.35153 Trans. Am. Math. Soc. 374, No. 9, 6665-6689 (2021). MSC: 35Q35 35Q31 35Q86 35J61 35C07 35B25 76B47 76U60 76X05 86A05 26A33 35R11 PDF BibTeX XML Cite \textit{W. Ao} et al., Trans. Am. Math. Soc. 374, No. 9, 6665--6689 (2021; Zbl 1477.35153) Full Text: DOI arXiv OpenURL
Crisan, D.; Dobson, P.; Ottobre, M. Uniform in time estimates for the weak error of the Euler method for SDEs and a pathwise approach to derivative estimates for diffusion semigroups. (English) Zbl 1466.65013 Trans. Am. Math. Soc. 374, No. 5, 3289-3330 (2021). MSC: 65C30 60H10 47D07 60J60 PDF BibTeX XML Cite \textit{D. Crisan} et al., Trans. Am. Math. Soc. 374, No. 5, 3289--3330 (2021; Zbl 1466.65013) Full Text: DOI arXiv OpenURL
Chiodaroli, Elisabetta; Kreml, Ondřej; Mácha, Václav; Schwarzacher, Sebastian Non-uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data. (English) Zbl 1462.35263 Trans. Am. Math. Soc. 374, No. 4, 2269-2295 (2021). MSC: 35Q31 35L65 76N10 35D30 35A02 35A01 35B65 PDF BibTeX XML Cite \textit{E. Chiodaroli} et al., Trans. Am. Math. Soc. 374, No. 4, 2269--2295 (2021; Zbl 1462.35263) Full Text: DOI arXiv OpenURL
Arnaiz, Victor; Castro, Ángel Singularity formation for the fractional Euler-alignment system in 1D. (English) Zbl 1456.35159 Trans. Am. Math. Soc. 374, No. 1, 487-514 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 35Q92 35R11 35B44 PDF BibTeX XML Cite \textit{V. Arnaiz} and \textit{Á. Castro}, Trans. Am. Math. Soc. 374, No. 1, 487--514 (2021; Zbl 1456.35159) Full Text: DOI arXiv OpenURL
Elgindi, Tarek M.; Jeong, In-Jee On singular vortex patches. II: Long-time dynamics. (English) Zbl 1454.35265 Trans. Am. Math. Soc. 373, No. 9, 6757-6775 (2020). MSC: 35Q31 76U05 76B47 35B40 35B10 35A01 35A02 PDF BibTeX XML Cite \textit{T. M. Elgindi} and \textit{I.-J. Jeong}, Trans. Am. Math. Soc. 373, No. 9, 6757--6775 (2020; Zbl 1454.35265) Full Text: DOI arXiv OpenURL
Hynd, Ryan A trajectory map for the pressureless Euler equations. (English) Zbl 1448.35376 Trans. Am. Math. Soc. 373, No. 10, 6777-6815 (2020). MSC: 35Q31 35L04 35Q85 60B10 35D30 PDF BibTeX XML Cite \textit{R. Hynd}, Trans. Am. Math. Soc. 373, No. 10, 6777--6815 (2020; Zbl 1448.35376) Full Text: DOI arXiv OpenURL
Schrecker, Matthew R. I. Spherically symmetric solutions of the multidimensional, compressible, isentropic Euler equations. (English) Zbl 1431.35116 Trans. Am. Math. Soc. 373, No. 1, 727-746 (2020). MSC: 35Q31 35B44 35L65 76N10 35D30 35B06 PDF BibTeX XML Cite \textit{M. R. I. Schrecker}, Trans. Am. Math. Soc. 373, No. 1, 727--746 (2020; Zbl 1431.35116) Full Text: DOI arXiv OpenURL
Domański, Paweł; Langenbruch, Michael Surjectivity of Euler type differential operators on spaces of smooth functions. (English) Zbl 1478.46019 Trans. Am. Math. Soc. 372, No. 9, 6017-6086 (2019). Reviewer: José Bonet (Valencia) MSC: 46E10 44A15 35A01 35A09 35A22 45E10 PDF BibTeX XML Cite \textit{P. Domański} and \textit{M. Langenbruch}, Trans. Am. Math. Soc. 372, No. 9, 6017--6086 (2019; Zbl 1478.46019) Full Text: DOI OpenURL
Cavalletti, Fabio; Sedjro, Marc; Westdickenberg, Michael A variational time discretization for compressible Euler equations. (English) Zbl 07050773 Trans. Am. Math. Soc. 371, No. 7, 5083-5155 (2019). MSC: 35Q31 76N15 35L65 49J40 82C40 PDF BibTeX XML Cite \textit{F. Cavalletti} et al., Trans. Am. Math. Soc. 371, No. 7, 5083--5155 (2019; Zbl 07050773) Full Text: DOI arXiv OpenURL
Cheng, Jianfeng; Du, Lili Subsonic divided gas flow in an infinitely long branching channel. (English) Zbl 1441.76047 Trans. Am. Math. Soc. 371, No. 3, 1859-1885 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 76G25 76N10 35Q31 PDF BibTeX XML Cite \textit{J. Cheng} and \textit{L. Du}, Trans. Am. Math. Soc. 371, No. 3, 1859--1885 (2019; Zbl 1441.76047) Full Text: DOI OpenURL
Nguyen, Huy Quang Sharp Strichartz estimates for water waves systems. (English) Zbl 1403.35220 Trans. Am. Math. Soc. 370, No. 12, 8797-8832 (2018). MSC: 35Q31 35S50 35B65 76B15 76B45 35A17 PDF BibTeX XML Cite \textit{H. Q. Nguyen}, Trans. Am. Math. Soc. 370, No. 12, 8797--8832 (2018; Zbl 1403.35220) Full Text: DOI arXiv OpenURL
Misiołek, Gerard; Yoneda, Tsuyoshi Continuity of the solution map of the Euler equations in Hölder spaces and weak norm inflation in Besov spaces. (English) Zbl 1388.35160 Trans. Am. Math. Soc. 370, No. 7, 4709-4730 (2018). MSC: 35Q35 35B30 PDF BibTeX XML Cite \textit{G. Misiołek} and \textit{T. Yoneda}, Trans. Am. Math. Soc. 370, No. 7, 4709--4730 (2018; Zbl 1388.35160) Full Text: DOI arXiv OpenURL
Coutand, Daniel; Shkoller, Steve Regularity of the velocity field for Euler vortex patch evolution. (English) Zbl 1384.35071 Trans. Am. Math. Soc. 370, No. 5, 3689-3720 (2018). MSC: 35Q31 35B65 76B47 76B03 PDF BibTeX XML Cite \textit{D. Coutand} and \textit{S. Shkoller}, Trans. Am. Math. Soc. 370, No. 5, 3689--3720 (2018; Zbl 1384.35071) Full Text: DOI arXiv OpenURL
Shvydkoy, Roman Homogeneous solutions to the 3D Euler system. (English) Zbl 1386.35333 Trans. Am. Math. Soc. 370, No. 4, 2517-2535 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 76B99 37J45 PDF BibTeX XML Cite \textit{R. Shvydkoy}, Trans. Am. Math. Soc. 370, No. 4, 2517--2535 (2018; Zbl 1386.35333) Full Text: DOI arXiv OpenURL
Zillinger, Christian Linear inviscid damping for monotone shear flows. (English) Zbl 1372.76045 Trans. Am. Math. Soc. 369, No. 12, 8799-8855 (2017). MSC: 76E05 35Q31 35Q35 76B03 PDF BibTeX XML Cite \textit{C. Zillinger}, Trans. Am. Math. Soc. 369, No. 12, 8799--8855 (2017; Zbl 1372.76045) Full Text: DOI arXiv OpenURL
Hoang, Vu; Radosz, Maria No local double exponential gradient growth in hyperbolic flow for the 2d Euler equation. (English) Zbl 1375.35377 Trans. Am. Math. Soc. 369, No. 10, 7169-7211 (2017). MSC: 35Q35 35Q31 76B99 PDF BibTeX XML Cite \textit{V. Hoang} and \textit{M. Radosz}, Trans. Am. Math. Soc. 369, No. 10, 7169--7211 (2017; Zbl 1375.35377) Full Text: DOI arXiv OpenURL
Kelliher, James P. Observations on the vanishing viscosity limit. (English) Zbl 1359.76074 Trans. Am. Math. Soc. 369, No. 3, 2003-2027 (2017). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 76D03 76B03 35Q30 35Q31 PDF BibTeX XML Cite \textit{J. P. Kelliher}, Trans. Am. Math. Soc. 369, No. 3, 2003--2027 (2017; Zbl 1359.76074) Full Text: DOI arXiv OpenURL
Isett, Philip; Oh, Sung-Jin A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds. (English) Zbl 1335.58018 Trans. Am. Math. Soc. 368, No. 9, 6519-6537 (2016). MSC: 58J35 35Q31 PDF BibTeX XML Cite \textit{P. Isett} and \textit{S.-J. Oh}, Trans. Am. Math. Soc. 368, No. 9, 6519--6537 (2016; Zbl 1335.58018) Full Text: DOI arXiv Link OpenURL
Blatt, Simon; Reiter, Philipp; Schikorra, Armin Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth. (English) Zbl 1335.49074 Trans. Am. Math. Soc. 368, No. 9, 6391-6438 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 49N60 57M25 46E35 PDF BibTeX XML Cite \textit{S. Blatt} et al., Trans. Am. Math. Soc. 368, No. 9, 6391--6438 (2016; Zbl 1335.49074) Full Text: DOI arXiv OpenURL
Azzam, Jonas; Bedrossian, Jacob Bounded mean oscillation and the uniqueness of active scalar equations. (English) Zbl 1315.35009 Trans. Am. Math. Soc. 367, No. 5, 3095-3118 (2015). MSC: 35A02 35Q92 35Q35 76B03 PDF BibTeX XML Cite \textit{J. Azzam} and \textit{J. Bedrossian}, Trans. Am. Math. Soc. 367, No. 5, 3095--3118 (2015; Zbl 1315.35009) Full Text: DOI arXiv OpenURL
Norbury, Paul String and dilaton equations for counting lattice points in the moduli space of curves. (English) Zbl 1275.32015 Trans. Am. Math. Soc. 365, No. 4, 1687-1709 (2013). MSC: 32G15 30F30 05A15 PDF BibTeX XML Cite \textit{P. Norbury}, Trans. Am. Math. Soc. 365, No. 4, 1687--1709 (2013; Zbl 1275.32015) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Precioso, Juliana C. Least action principle and the incompressible Euler equations with variable density. (English) Zbl 1221.35289 Trans. Am. Math. Soc. 363, No. 5, 2641-2661 (2011). Reviewer: Cheng He (Beijing) MSC: 35Q31 76B03 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Trans. Am. Math. Soc. 363, No. 5, 2641--2661 (2011; Zbl 1221.35289) Full Text: DOI OpenURL
Del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica Two-dimensional Euler flows with concentrated vorticities. (English) Zbl 1205.35217 Trans. Am. Math. Soc. 362, No. 12, 6381-6395 (2010). MSC: 35Q31 35J25 35B25 35B40 35J08 76M40 PDF BibTeX XML Cite \textit{M. Del Pino} et al., Trans. Am. Math. Soc. 362, No. 12, 6381--6395 (2010; Zbl 1205.35217) Full Text: DOI OpenURL
Tiğlay, Feride The Cauchy problem and integrability of a modified Euler-Poisson equation. (English) Zbl 1146.35069 Trans. Am. Math. Soc. 360, No. 4, 1861-1877 (2008). Reviewer: Michal Marvan (Opava) MSC: 35Q05 35B10 35B65 35A10 37K65 37K10 PDF BibTeX XML Cite \textit{F. Tiğlay}, Trans. Am. Math. Soc. 360, No. 4, 1861--1877 (2008; Zbl 1146.35069) Full Text: DOI arXiv OpenURL
Katz, Nets Hawk; Pavlovic, Natasa Finite time blow up for a dyadic model of the Euler equations. (English) Zbl 1059.35096 Trans. Am. Math. Soc. 357, No. 2, 695-708 (2005). Reviewer: Thomas Elsken (Rostock) MSC: 35Q05 35Q35 76B03 PDF BibTeX XML Cite \textit{N. H. Katz} and \textit{N. Pavlovic}, Trans. Am. Math. Soc. 357, No. 2, 695--708 (2005; Zbl 1059.35096) Full Text: DOI OpenURL
Papanicolaou, Vassilis G. The periodic Euler-Bernoulli equation. (English) Zbl 1052.34079 Trans. Am. Math. Soc. 355, No. 9, 3727-3759 (2003). Reviewer: Yaroslav Volodymyrovych Mykytyuk (Lviv) MSC: 34L05 47E05 34B05 34B10 34B40 PDF BibTeX XML Cite \textit{V. G. Papanicolaou}, Trans. Am. Math. Soc. 355, No. 9, 3727--3759 (2003; Zbl 1052.34079) Full Text: DOI OpenURL
Rubinstein, Jacob; Schatzman, Michelle Variational problems on multiply connected thin strips. III: Integration of the Ginzburg-Landau equations over graphs. (English) Zbl 0971.82046 Trans. Am. Math. Soc. 353, No. 10, 4173-4187 (2001). Reviewer: Wieslaw Kotarski (Sosnowiec) MSC: 82D55 49S05 94C15 34B45 PDF BibTeX XML Cite \textit{J. Rubinstein} and \textit{M. Schatzman}, Trans. Am. Math. Soc. 353, No. 10, 4173--4187 (2001; Zbl 0971.82046) Full Text: DOI OpenURL
Chen, Gui-Qiang; Frid, Hermano Uniqueness and asymptotic stability of Riemann solutions for the compressible Euler equations. (English) Zbl 0958.35094 Trans. Am. Math. Soc. 353, No. 3, 1103-1117 (2001). MSC: 35Q05 35Q35 35B35 35B40 76N15 35L65 PDF BibTeX XML Cite \textit{G.-Q. Chen} and \textit{H. Frid}, Trans. Am. Math. Soc. 353, No. 3, 1103--1117 (2001; Zbl 0958.35094) Full Text: DOI OpenURL
Etnyre, John; Ghrist, Robert Contact topology and hydrodynamics. III: Knotted orbits. (English) Zbl 0960.76020 Trans. Am. Math. Soc. 352, No. 12, 5781-5794 (2000). MSC: 76B47 57M25 37N10 37J55 37C27 53D10 PDF BibTeX XML Cite \textit{J. Etnyre} and \textit{R. Ghrist}, Trans. Am. Math. Soc. 352, No. 12, 5781--5794 (2000; Zbl 0960.76020) Full Text: DOI arXiv OpenURL
Chicone, Carmen A geometric approach to regular perturbation theory with an application to hydrodynamics. (English) Zbl 0849.58055 Trans. Am. Math. Soc. 347, No. 12, 4559-4598 (1995). Reviewer: Yu.N.Bibikov (St.Peterburg) MSC: 37G99 34C25 37J40 PDF BibTeX XML Cite \textit{C. Chicone}, Trans. Am. Math. Soc. 347, No. 12, 4559--4598 (1995; Zbl 0849.58055) Full Text: DOI OpenURL
Skula, Ladislav The orders of solutions of the Kummer system of congruences. (English) Zbl 0810.11015 Trans. Am. Math. Soc. 343, No. 2, 587-607 (1994). Reviewer: T.Metsänkylä (Turku) MSC: 11D41 11B68 11C20 PDF BibTeX XML Cite \textit{L. Skula}, Trans. Am. Math. Soc. 343, No. 2, 587--607 (1994; Zbl 0810.11015) Full Text: DOI OpenURL
Harabetian, Eduard Propagation of singularities, Hamilton-Jacobi equations and numerical applications. (English) Zbl 0783.35034 Trans. Am. Math. Soc. 337, No. 1, 59-71 (1993). MSC: 35L65 35F20 65Z05 PDF BibTeX XML Cite \textit{E. Harabetian}, Trans. Am. Math. Soc. 337, No. 1, 59--71 (1993; Zbl 0783.35034) Full Text: DOI OpenURL
Bui An Ton; Li Dening Double shock fronts for hyperbolic systems of conservation laws in multidimensional space. (English) Zbl 0704.35093 Trans. Am. Math. Soc. 316, No. 1, 233-250 (1989). Reviewer: R.H.W.Hoppe MSC: 35L65 76L05 35R35 PDF BibTeX XML Cite \textit{Bui An Ton} and \textit{Li Dening}, Trans. Am. Math. Soc. 316, No. 1, 233--250 (1989; Zbl 0704.35093) Full Text: DOI OpenURL
Ponce, Gustavo Propagation of \(L^ q_ k\)-smoothness for solutions of the Euler equation. (English) Zbl 0685.35098 Trans. Am. Math. Soc. 314, No. 1, 51-61 (1989). Reviewer: T.Petrila MSC: 35Q99 76B99 35B65 PDF BibTeX XML Cite \textit{G. Ponce}, Trans. Am. Math. Soc. 314, No. 1, 51--61 (1989; Zbl 0685.35098) Full Text: DOI OpenURL
Tang, Yun Nonlinear stability of vortex patches. (English) Zbl 0636.76019 Trans. Am. Math. Soc. 304, 617-637 (1987). Reviewer: J.Burbea MSC: 76B47 37C75 35P15 26D99 76E30 PDF BibTeX XML Cite \textit{Y. Tang}, Trans. Am. Math. Soc. 304, 617--637 (1987; Zbl 0636.76019) Full Text: DOI OpenURL
Harabetian, Eduard A convergent series expansion for hyperbolic systems of conservation laws. (English) Zbl 0599.35103 Trans. Am. Math. Soc. 294, 383-424 (1986). MSC: 35L65 35A10 35A20 PDF BibTeX XML Cite \textit{E. Harabetian}, Trans. Am. Math. Soc. 294, 383--424 (1986; Zbl 0599.35103) Full Text: DOI OpenURL
Anzellotti, Gabriele The Euler equation for functionals with linear growth. (English) Zbl 0611.49018 Trans. Am. Math. Soc. 290, 483-501 (1985). Reviewer: R.Schianchi MSC: 49K20 26B30 35D99 49Q05 PDF BibTeX XML Cite \textit{G. Anzellotti}, Trans. Am. Math. Soc. 290, 483--501 (1985; Zbl 0611.49018) Full Text: DOI OpenURL
Knowles, Ian On differential equations associated with Euler product expressions. (English) Zbl 0572.10031 Trans. Am. Math. Soc. 289, 545-573 (1985). Reviewer: A.Venkov MSC: 11M35 34L99 30B50 PDF BibTeX XML Cite \textit{I. Knowles}, Trans. Am. Math. Soc. 289, 545--573 (1985; Zbl 0572.10031) Full Text: DOI OpenURL
Clarke, F. H.; Vinter, R. B. Regularity properties of solutions to the basic problem in the calculus of variations. (English) Zbl 0563.49009 Trans. Am. Math. Soc. 289, 73-98 (1985). Reviewer: G.Buttazzo MSC: 49J45 49K05 49K15 49J05 49J15 PDF BibTeX XML Cite \textit{F. H. Clarke} and \textit{R. B. Vinter}, Trans. Am. Math. Soc. 289, 73--98 (1985; Zbl 0563.49009) Full Text: DOI OpenURL
Brothers, John E. Invariance of solutions to invariant nonparametric variational problems. (English) Zbl 0471.49039 Trans. Am. Math. Soc. 264, 91-111 (1981). MSC: 49Q20 49Q15 35J20 PDF BibTeX XML Cite \textit{J. E. Brothers}, Trans. Am. Math. Soc. 264, 91--111 (1981; Zbl 0471.49039) Full Text: DOI OpenURL
Cormack, A. M.; Quinto, E. T. A Radon transform on spheres through the origin in \(\mathbb{R}^n\) and applications to the Darboux equation. (English) Zbl 0444.44003 Trans. Am. Math. Soc. 260, 575-581 (1980). MSC: 44A15 35Q05 35A22 PDF BibTeX XML Cite \textit{A. M. Cormack} and \textit{E. T. Quinto}, Trans. Am. Math. Soc. 260, 575--581 (1980; Zbl 0444.44003) Full Text: DOI OpenURL
Dunninger, D. R.; Levine, Howard A. Uniqueness criteria for solutions of singular boundary value problems. (English) Zbl 0329.35050 Trans. Am. Math. Soc. 221, 289-301 (1976). MSC: 35Q05 35R20 35D05 35P05 PDF BibTeX XML Cite \textit{D. R. Dunninger} and \textit{H. A. Levine}, Trans. Am. Math. Soc. 221, 289--301 (1976; Zbl 0329.35050) Full Text: DOI OpenURL
Swann, H. S. G. The existence and uniqueness of nonstationary ideal incompressible flow in bounded domains in R\(_3\). (English) Zbl 0269.35020 Trans. Am. Math. Soc. 179, 167-180 (1973). MSC: 35F25 35F30 35Q05 76B47 PDF BibTeX XML Cite \textit{H. S. G. Swann}, Trans. Am. Math. Soc. 179, 167--180 (1973; Zbl 0269.35020) Full Text: DOI OpenURL
Rhee, H. A representation of the solutions of the Darboux equation in odd-dimensional spaces. (English) Zbl 0208.36501 Trans. Am. Math. Soc. 150, 491-498 (1970). Reviewer: Joel Smoller (Ann Arbor) MSC: 35C15 35Q05 PDF BibTeX XML Cite \textit{H. Rhee}, Trans. Am. Math. Soc. 150, 491--498 (1970; Zbl 0208.36501) Full Text: DOI OpenURL