Zobrazeno 1 - 10
of 163
pro vyhledávání: '"James Serrin"'
Autor:
Roger Fosdick, James Serrin
Publikováno v:
Continuum Mechanics and Thermodynamics. 26:287-302
We show that the total intrinsic energy of a body must split into the sum of two terms—an internal energy which depends upon ‘state’ and a kinetic energy which is quadratic in the square of the particle speed.We use the non-relativistic group i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1524bcc957e6dfcc854705cd5e64eaa
https://doi.org/10.1007/s00161-013-0301-1
https://doi.org/10.1007/s00161-013-0301-1
Autor:
Alberto Farina, James Serrin
Publikováno v:
Journal of Differential Equations. 250(12):4409-4436
In an earlier paper (Farina and Serrin (2011) [3]) the authors treated a broad class of quasilinear elliptic equations which have the property that any entire solution must necessarily be constant, a property of course not holding for the simple Lapl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc70bd5c1a46694d01e59fc0928fcb75
Autor:
James Serrin, Alberto Farina
Publikováno v:
Journal of Differential Equations. 250:4367-4408
A famous theorem of Sergei Bernstein says that every entire solution u = u ( x ) , x ∈ R 2 , of the minimal surface equation div { D u 1 + | D u | 2 } = 0 is an affine function; no conditions being placed on the behavior of the solution u . Bernste
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a568b2d20f747e8ab1d79cd933a06bb8
https://doi.org/10.1016/j.jde.2011.02.007
https://doi.org/10.1016/j.jde.2011.02.007
Autor:
James Serrin
Publikováno v:
Journal of Mathematical Analysis and Applications. 352(1):3-14
We study entire solutions of non-homogeneous quasilinear elliptic equations, with Eqs. (1) and (2) below being typical. A particular special case of interest is the following: Let u be an entire distribution solution of the equation Δ p u = | u | q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80919987707fc528afe9c22650609edf
Autor:
James Serrin
Publikováno v:
Journal of Elasticity. 90:129-159
We propose a new version of the classical van der Waals equation of state. When this is combined with a modified Maxwell construction (replacing the logically inconsistent equal-area rule), it yields remarkably accurate boiling curves for real fluids
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92fb42dc45956f40d9ba1a6320fa515d
https://doi.org/10.1007/s10659-007-9136-y
https://doi.org/10.1007/s10659-007-9136-y
Autor:
James Serrin
Publikováno v:
Control Methods in PDE-Dynamical Systems. :307-315
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::df5d03bc8587d04e852fa73ca1f6ddfc
https://doi.org/10.1090/conm/426/08195
https://doi.org/10.1090/conm/426/08195
Autor:
James Serrin
Publikováno v:
Journal of the European Mathematical Society. :389-398
Consider the divergence structure elliptic inequality $$ {\rm div}\{\boldsymbol A(x,u,Du)\} + B(x,u,Du) \ge 0 \leqno (1) $$ in a bounded domain $\Omega\subset \RR^n$. Here $$ \boldsymbol A(x,z,\boldsymbol \xi): \,K \to \RR^n; \qquad B(x,z,\boldsymbol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0554cce1d016084ea41bb2d90eb27bf8
https://doi.org/10.4171/jems/59
https://doi.org/10.4171/jems/59
Autor:
Patrizia Pucci, James Serrin
Publikováno v:
Journal of Differential Equations. 196:1-66
In this paper we first present the classical maximum principle due to E. Hopf, together with an extended commentary and discussion of Hopf's paper. We emphasize the comparison technique invented by Hopf to prove this principle, which has since become
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea39cb56902e52bd4249584b4ee525b5
https://doi.org/10.1016/j.jde.2003.05.001
https://doi.org/10.1016/j.jde.2003.05.001
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 20:947-974
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::797e809d432c2ec8f9acfb2c660d7740
https://doi.org/10.1016/s0294-1449(03)00013-1
https://doi.org/10.1016/s0294-1449(03)00013-1