Results 11 to 20 of about 99 (73)

On the coupling of well posed differential models [PDF]

, 2023
Consider the coupling of 2 evolution equations, each generating a global process. We prove that the resulting system generates a new global process. This statement can be applied to differential equations of various kinds.
Colombo, Rinaldo Mario, Garavello, Mauro, Tandy, Matthew Laurence   +2 more
core   +1 more source

A Mathematical Model for Flash Sintering [PDF]

, 2015
A mathematical model is presented for the Joule heating that occurs in a ceramic powder compact during the process of flash sintering. The ceramic is assumed to have an electrical conductivity that increases with temperature, and this leads to the ...
Hewitt, Ian J., Lacey, Andrew Alfred, Todd, Richard I.   +2 more
core   +2 more sources

On transcendental entire solution of Fermat-type trinomial and binomial equations under restricted hyper-order [PDF]

, 2023
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee, Abhijit, Sarkar, Jhuma
core   +1 more source

A new critical curve for a class of quasilinear elliptic systems

, 2012
We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given by the $p$-Laplacian operator as well as the mean curvature operator in non
Bidaut-Véron, Bonfiglioli, Busca, Capogna, Caristi, Cîrstea, D’Ambrosio, D’Ambrosio, D’Ambrosio, D’Ambrosio, Farina, Farina, Filippucci, Folland, Folland, Lair, Lorenzo D’Ambrosio, Maly, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Mitidieri, Phan, Polacik, Pucci, Serrin, Serrin, Souplet, Stein, Teramoto, Trudinger, Trudinger, Yang, Yarur   +34 more
core   +1 more source

Vanishing viscosity limit of navier-stokes equations in gevrey class

, 2017
In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the ...
Alexandre, Bardos, Biswas, Bourguignon, Chae, Constantin, Foias, Gerard-Varet, Gerard-Varet, Grujić, Guo, Hardy, Kato, Kukavica, Kukavica, Kukavica, Kukavica, Levermore, Li, Lions, Liu, Maekawa, Majda, Oleinik, R Temam, R Temam, Sammartino, Swann, Temam, Weinan, Xin   +30 more
core   +4 more sources

Existence of global solutions to a semilinear thermoelastic system in three dimensions

Open Mathematics
In this paper, we establish the global existence of weak solutions to a semilinear thermoelastic system on a bounded domain in R3 ${\mathbb{R}}^{3}$ . Specifically, we assume that the nonlinear term in the momentum equation is defocusing energy critical.
Sun Yaqing, He Daoyin, Zhang Kangqun
doaj   +1 more source

Efficacy of an oral chew containing fibre and Bacillus velezensis C‐3102 in the management of anal sac impaction in dogs

Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.
Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs, Shea Beasley, Josep Homedes   +2 more
wiley   +1 more source

Multidimensional Conservation Laws: Overview, Problems, and Perspective

, 2010
Some of recent important developments are overviewed, several longstanding open problems are discussed, and a perspective is presented for the mathematical theory of multidimensional conservation laws.
A. Blokhin, A. Bressan, A. Bressan, A. Kurganov, A. Majda, A. Majda, A. Majda, A. Tesdall, A. Vasseur, A. Volpert, A.J. Chorin, A.M. Tesdall, A.R. Zakharian, B. Dacorogna, B. Engquist, B. Fang, B. Perthame, B. Perthame, B. Skews, C. Baiocchi, C. Leliss De, C. Lellis De, C.-H. Gu, C.B. Morrey, C.M. Dafermos, C.M. Dafermos, C.M. Dafermos, C.S. Morawetz, C.S. Morawetz, C.S. Morawetz, C.S. Morawetz, C.W. Schulz-Rinne, D. Christodoulou, D. Christodoulou, D. Cui, D. Hoff, D. Schaeffer, D. Serre, D. Serre, D. Serre, D. Serre, D. Tan, D.G. Schaeffer, E. Giusti, E. Grenier, E. Mach, E. Tabak, E. Tadmor, E. Yu. Panov, F. Bouchut, F. Brezzi, F. Huang, F. Murat, F. Murat, G. Anzellotti, G. Ben-Dor, G. Boillat, G. Boillat, G. Dong, G. Métivier, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.-Q. Chen, G.B. Whitham, G.I. Zabolotskaya, H. Berestycki, H. Federer, H. Holden, H.K. Jenssen, H.W. Alt, H.W. Alt, I.M. Gamba, J. Glimm, J. Glimm, J. Glimm, J. Glimm, J. Hadamard, J. Hunter, J. Hunter, J. Li, J. Li, J. Li, J. Neumann von, J. Rauch, J.-Y. Chemin, J.B. Keller, J.B. Keller, J.D. Cole, J.F. Coulombel, J.M. Ball, J.M. Ball, K. Friedrichs, K.G. Guderley, K.O. Friedrichs, L. Ambrosio, L. Ambrosio, L. Bers, L. Bers, L. Guo, L. Liu, L. Tartar, L. Tartar, L.A. Caffarelli, L.C. Evans, M. Artola, M. Dyke Van, M. Shiffman, M.-J. Bae, M.J. Lighthill, M.S. Cramer, O. Guès, P. Brenner, P. Constantin, P.-L. Lions, P.-L. Lions, P.-L. Lions, P.D. Lax, P.D. Lax, P.D. Lax, P.D. Lax, P.D. Lax, P.G. LeFloch, Q. Han, R. Courant, R. Courant, R. Finn, R. Timman, R.J. DiPerna, R.J. DiPerna, R.J. DiPerna, S. Alinhac, S. Benzoni-Gavage, S. Bianchini, S. Canić, S. Canić, S. Canić, S. Demoulini, S. Friedland, S. Godunov, S. Osher, S.-T. Yau, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, S.-X. Chen, T. Chang, T. Chang, T. Chang, T. Kato, T. Makino, T. Qin, T. Ruggeri, T. Zhang, T.-P. Liu, T.-T. Li, T.-T. Li, T.C. Sideris, V. Elling, V. Elling, V.G. Maz’ya, W. Bleakney, W. E. Y. Rykov, W. Gangbo, W.-C. Lien, W.-C. Sheng, W.P. Ziemer, Y. Brenier, Y. Brenier, Y. Trakhinin, Y. Zheng, Y. Zheng, Y. Zheng, Y.-Q. Zhang, Ya.B. Zeldovich, Z. Wang, Z. Xin   +205 more
core   +2 more sources

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

Annales Mathematicae Silesianae
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj   +1 more source

Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2#

Demonstratio Mathematica
This study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
doaj   +1 more source